164385982972224
164,385,982,972,224 is an even composite number composed of six prime numbers multiplied together.
164385982972224 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, eight hundred ninety divisors.
Prime factorization of 164385982972224:
26 × 34 × 132 × 292 × 472 × 101
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 13 × 13 × 29 × 29 × 47 × 47 × 101)See below for interesting mathematical facts about the number 164385982972224 from the Numbermatics database.
Names of 164385982972224
- Cardinal: 164385982972224 can be written as One hundred sixty-four trillion, three hundred eighty-five billion, nine hundred eighty-two million, nine hundred seventy-two thousand, two hundred twenty-four.
Scientific notation
- Scientific notation: 1.64385982972224 × 1014
Factors of 164385982972224
Divisors of 164385982972224
- Number of divisors d(n): 1890
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 27 29 32 36 39 47 48 52 54 58 64 72 78 81 87 94 96 101 104 108 116 117 141 144 156 162 169 174 188 192 202 208 216 232 234 261 282 288 303 312 324 338 348 351 376 377 404 416 423 432 464 468 507 522 564 576 606 611 624 648 676 696 702 752 754 783 808 832 841 846 864 909 928 936 1014 1044 1053 1128 1131 1212 1222 1248 1269 1296 1313 1352 1363 1392 1404 1504 1508 1521 1566 1616 1682 1692 1728 1818 1833 1856 1872 2028 2088 2106 2209 2256 2262 2349 2424 2444 2496 2523 2538 2592 2626 2704 2726 2727 2784 2808 2929 3008 3016 3042 3132 3232 3364 3384 3393 3636 3666 3744 3807 3939 4056 4089 4176 4212 4418 4512 4524 4563 4698 4747 4848 4888 4901 5046 5076 5184 5252 5408 5452 5454 5499 5568 5616 5858 6032 6084 6264 6464 6627 6728 6768 6786 7272 7332 7488 7569 7614 7878 7943 8112 8178 8181 8352 8424 8787 8836 9024 9048 9126 9396 9494 9696 9776 9802 10092 10152 10179 10504 10816 10904 10908 10933 10998 11232 11716 11817 12064 12168 12267 12528 13254 13456 13536 13572 13689 14241 14544 14664 14703 15138 15228 15756 15886 16224 16356 16362 16497 16704 16848 17069 17574 17672 17719 18096 18252 18792 18988 19392 19552 19604 19881 20184 20304 20358 21008 21808 21816 21866 21996 22464 22707 23432 23634 23829 24128 24336 24534 25056 26361 26508 26912 27072 27144 27378 28482 28717 29088 29328 29406 30276 30456 30537 31512 31772 32448 32712 32724 32799 32994 33696 34138 35148 35344 35438 35451 36192 36504 36801 37584 37976 38077 39104 39208 39527 39762 40368 40608 40716 42016 42723 43616 43632 43732 43992 44109 45414 46864 47268 47658 48672 49068 49491 50112 51207 52722 53016 53157 53824 54288 54756 56964 57434 58176 58656 58812 59643 60552 60912 61074 61711 63024 63544 64061 65424 65448 65598 65988 67392 68121 68276 70296 70688 70876 70902 71487 72384 73008 73602 75168 75952 76154 78416 79054 79083 79524 80736 81216 81432 84032 84941 85446 86151 87232 87264 87464 87984 88218 90828 93728 94536 95316 97344 98136 98397 98982 102414 105444 106032 106314 106353 108576 109512 110403 113928 114231 114868 117312 117624 118581 119286 121104 121824 122148 123422 126048 127088 128122 128169 130848 130896 131196 131976 132327 136242 136552 137663 140592 141376 141752 141804 142129 142974 146016 147204 150336 151904 152308 153621 156832 158108 158166 159048 159471 161472 162864 169882 170892 172302 174528 174928 175968 176436 178929 181656 185133 187456 189072 190632 192183 196272 196794 197964 204828 210888 212064 212628 212706 214461 217152 219024 220806 223109 227856 228462 229736 230347 235248 237162 237249 238572 242208 243648 244296 246844 252096 254176 254823 256244 256338 258453 261696 261792 262392 263952 264654 272484 273104 275326 281184 283504 283608 284258 285948 292032 294408 295191 303808 304616 307242 313664 316216 316332 318096 318942 325728 339764 341784 342693 344604 349856 351936 352872 355743 357858 363312 370266 373321 378144 381264 384366 384507 392544 393588 395928 396981 409656 412989 421776 424128 425256 425412 426387 428922 438048 441612 446218 455712 456924 459472 460694 460863 470496 474324 474498 477144 478413 484416 488592 493688 495001 508352 509646 512488 512676 513851 516906 523584 524784 527904 529308 544968 546208 550652 555399 562368 567008 567216 568516 571896 576549 588816 590382 609232 614484 632432 632664 636192 637884 643383 651456 669327 679528 683568 685386 689208 691041 699712 705744 711486 715716 726624 740532 746642 756288 762528 764469 768732 769014 775359 785088 787176 791856 793962 802243 819312 825978 832793 843552 850512 850824 852774 857844 876096 883224 885573 892436 911424 913848 918944 921388 921726 940992 948648 948996 954288 956826 977184 987376 990002 1019292 1024976 1025352 1027702 1028079 1033812 1049568 1055808 1058616 1067229 1089936 1092416 1101304 1104233 1110798 1119963 1134016 1134432 1137032 1143792 1153098 1177632 1180764 1218464 1228968 1238967 1264864 1265328 1272384 1275768 1279161 1286766 1338654 1359056 1367136 1370772 1378416 1382082 1382589 1411488 1422972 1431432 1435239 1453248 1481064 1485003 1493284 1525056 1528938 1537464 1538028 1541553 1550718 1574352 1583712 1587924 1604486 1638624 1651956 1665586 1666197 1687104 1701024 1701648 1705548 1715688 1729647 1766448 1771146 1784872 1789619 1827696 1837888 1842776 1843452 1857769 1897296 1897992 1908576 1913652 1954368 1974752 1980004 2007981 2038584 2049952 2050704 2055404 2056158 2067624 2073123 2099136 2117232 2134458 2179872 2202608 2208466 2221596 2239926 2268864 2274064 2287584 2293407 2306196 2326077 2355264 2361528 2406729 2436928 2457936 2477934 2498379 2529728 2530656 2551536 2558322 2573532 2677308 2718112 2734272 2741544 2756832 2764164 2765178 2822976 2845944 2862864 2870478 2900417 2962128 2970006 2986568 3057876 3074928 3076056 3083106 3084237 3101436 3148704 3167424 3175848 3201687 3208972 3277248 3303912 3312699 3331172 3332394 3359889 3402048 3403296 3411096 3431376 3459294 3532896 3542292 3569744 3579238 3655392 3685552 3686904 3715538 3716901 3794592 3795984 3817152 3827304 3837483 3949504 3960008 3992227 4015962 4077168 4099904 4101408 4110808 4112316 4135248 4146246 4234464 4268916 4359744 4405216 4416932 4443192 4455009 4479852 4548128 4575168 4586814 4612392 4624659 4652154 4723056 4813458 4915872 4955868 4996758 4998591 5061312 5103072 5116644 5147064 5188941 5354616 5368857 5436224 5483088 5513664 5528328 5530356 5573307 5691888 5725728 5740956 5800834 5924256 5940012 5973136 6023943 6115752 6149856 6152112 6166212 6168474 6202872 6219369 6297408 6351696 6403374 6417944 6470161 6607824 6625398 6662344 6664788 6680063 6719778 6806592 6822192 6862752 6880221 6918588 7065792 7084584 7139488 7158476 7220187 7310784 7371104 7373808 7431076 7433802 7495137 7589184 7591968 7654608 7674966 7920016 7984454 8031924 8154336 8202816 8221616 8224632 8270496 8292492 8468928 8537832 8701251 8810432 8833864 8886384 8910018 8959704 9096256 9173628 9224784 9249318 9304308 9446112 9626916 9831744 9911736 9938097 9993516 9997182 10079667 10206144 10233288 10294128 10377882 10709232 10737714 10826309 10966176 11056656 11060712 11146614 11150703 11383776 11451456 11481912 11512449 11601668 11848512 11880024 11946272 11976681 12047886 12231504 12299712 12304224 12332424 12336948 12405744 12438738 12703392 12806748 12835888 12940322 13215648 13250796 13324688 13329576 13360126 13365027 13439556 13644384 13725504 13760442 13837176 13873977 14169168 14278976 14316952 14355029 14440374 14742208 14747616 14862152 14867604 14990274 15183936 15309216 15349932 15840032 15968908 16063848 16106571 16308672 16443232 16449264 16540992 16584984 16719921 17075664 17402502 17667728 17772768 17820036 17919408 18071829 18347256 18449568 18498636 18608616 18658107 18892224 19253832 19410483 19823472 19876194 19987032 19994364 20040189 20159334 20466576 20588256 20755764 21418464 21475428 21652618 21660561 21932352 22113312 22121424 22293228 22301406 22485411 22767552 22963824 23024898 23203336 23265047 23760048 23892544 23953362 24095772 24150997 24463008 24608448 24664848 24673896 24811488 24877476 25406784 25613496 25671776 25880644 26103753 26431296 26501592 26649376 26659152 26720252 26730054 26879112 27288768 27520884 27674352 27747954 28338336 28633904 28710058 28880748 29495232 29724304 29735208 29814291 29980548 30239001 30618432 30699864 31680064 31937816 32127696 32213142 32478927 32886464 32898528 33169968 33439842 34151328 34805004 35335456 35545536 35640072 35838816 35930043 36143658 36694512 36899136 36997272 37217232 37316214 37705421 38507664 38820966 39646944 39752388 39974064 39988728 40080378 40095081 40318668 40933152 41176512 41511528 41621931 42836928 42950856 43065087 43305236 43321122 44226624 44242848 44586456 44602812 44970822 45927648 46049796 46406672 46530094 47520096 47906724 48191544 48301994 48319713 48926016 49329696 49347792 49622976 49754952 50159763 51226992 51343552 51761288 51898951 52207506 53003184 53298752 53318304 53440504 53460108 53758224 55041768 55348704 55495908 56676672 57267808 57420116 57761496 58231449 59448608 59470416 59628582 59961096 60120567 60478002 61399728 63875632 64255392 64426284 64957854 64981683 65797056 66339936 66879684 67456233 68302656 69610008 69795141 70670912 71280144 71677632 71860086 72287316 72452991 73389024 73994544 74434464 74632428 75410842 77015328 77641932 78311259 79293888 79504776 79948128 79977456 80160756 80190162 80637336 81866304 83023056 83243862 84112093 85901712 86130174 86610472 86642244 88485696 89172912 89205624 89442873 89941644 91855296 92099592 92813344 93060188 95040192 95813448 96383088 96603988 96639426 97436781 98659392 98695584 99509904 100319526 102453984 103522576 103797902 104415012 106006368 106636608 106881008 106920216 107516448 107790129 110083536 110697408 110991816 113116263 114535616 114840232 115522992 116462898 118897216 118940832 119257164 119922192 120241134 120956004 122799456 127751264 128510784 128852568 129195261 129915708 129963366 132679872 133759368 134912466 139220016 139590282 142560288 143720172 144574632 144905982 144959139 146778048 147989088 148868928 149264856 150479289 150821684 154030656 155283864 155696853 156622518 159009552 159896256 159954912 160321512 160380324 161274672 166046112 166487724 168224186 171803424 172260348 173220944 173284488 174694347 178345824 178411248 178885746 179883288 180361701 184199184 185626688 186120376 187634669 191626896 192766176 193207976 193278852 194873562 197391168 199019808 200639052 204907968 207045152 207595804 208830024 209385423 212012736 213762016 213840432 215032896 215580258 217358973 220167072 221983632 226232526 229680464 231045984 232925796 234933777 237881664 238514328 239844384 240482268 241912008 245598912 252336279 255502528 257705136 258390522 259831416 259926732 267518736 269824932 278440032 279180564 285120576 287440344 289149264 289811964 289918278 292310343 295978176 298529712 300958578 301643368 310567728 311393706 313245036 313962961 318019104 319909824 320643024 320760648 322549344 323370387 332092224 332975448 336448372 339348789 343606848 344520696 346441888 346568976 349388694 356691648 356822496 357771492 359766576 360723402 368398368 372240752 375269338 383253792 385532352 386415952 386557704 387585783 389747124 398039616 401278104 414090304 415191608 417660048 418770846 427524032 427680864 431160516 434717946 440334144 443967264 452465052 459360928 462091968 465851592 467090559 469867554 477028656 479688768 480964536 483824016 504672558 515410272 516781044 519662832 519853464 524083041 535037472 539649864 541085103 556880064 558361128 562904007 574880688 578298528 579623928 579836556 584620686 597059424 601917156 603286736 621135456 622787412 626490072 627925922 628156269 636038208 641286048 641521296 645098688 646740774 652076919 665950896 672896744 674686363 678697578 689041392 692883776 693137952 698777388 713644992 715542984 719533152 721446804 736796736 744481504 750538676 757008837 766507584 772831904 773115408 775171566 779494248 802556208 830383216 835320096 837541692 855361728 862321032 869435892 876931029 887934528 904930104 918721856 931703184 934181118 939735108 941888883 954057312 961929072 967648032 1009345116 1018046367 1030820544 1033562088 1039325664 1039706928 1048166082 1070074944 1079299728 1082170206 1093457209 1116722256 1125808014 1149761376 1156597056 1159247856 1159673112 1162757349 1169241372 1194118848 1203834312 1206573472 1242270912 1245574824 1252980144 1255851844 1256312538 1282572096 1283042592 1293481548 1304153838 1331901792 1345793488 1349372726 1357395156 1378082784 1386275904 1397554776 1401271677 1431085968 1439066304 1442893608 1488963008 1501077352 1514017674 1545663808 1546230816 1550343132 1558988496 1605112416 1660766432 1670640192 1675083384 1688712021 1724642064 1738871784 1753862058 1809860208 1863406368 1868362236 1879470216 1883777766 1884468807 1908114624 1923858144 1935296064 1956230757 2018690232 2024059089 2036092734 2067124176 2078651328 2079413856 2096332164 2158599456 2164340412 2186914418 2233444512 2251616028 2271026511 2299522752 2318495712 2319346224 2325514698 2338482744 2407668624 2413146944 2439250697 2491149648 2505960288 2511703688 2512625076 2566085184 2586963096 2608307676 2663803584 2691586976 2698745452 2714790312 2756165568 2795109552 2802543354 2825666649 2862171936 2885787216 3002154704 3028035348 3054139101 3092461632 3100686264 3117976992 3210224832 3280371627 3321532864 3350166768 3377424042 3449284128 3477743568 3507724116 3619720416 3726812736 3736724472 3758940432 3767555532 3768937614 3847716288 3912461514 4037380464 4048118178 4072185468 4134248352 4158827712 4192664328 4203815031 4317198912 4328680824 4373828836 4466889024 4503232056 4542053022 4636991424 4638692448 4651029396 4676965488 4815337248 4878501394 4982299296 5011920576 5023407376 5025250152 5066136063 5173926192 5216615352 5383173952 5397490904 5429580624 5590219104 5605086708 5651333298 5724343872 5771574432 6004309408 6056070696 6072177267 6108278202 6201372528 6235953984 6560743254 6700333536 6754848084 6813079533 6898568256 6955487136 7015448232 7239440832 7317752091 7473448944 7517880864 7535111064 7537875228 7824923028 8074760928 8096236356 8144370936 8268496704 8385328656 8407630062 8476999947 8657361648 8747657672 9006464112 9084106044 9277384896 9302058792 9353930976 9630674496 9757002788 9841114881 9964598592 10046814752 10050500304 10132272126 10347852384 10433230704 10794981808 10859161248 11180438208 11210173416 11302666596 11543148864 12008618816 12112141392 12144354534 12216556404 12402745056 13121486508 13400667072 13509696168 13626159066 13910974272 14030896464 14635504182 14946897888 15035761728 15070222128 15075750456 15198408189 15649846056 16149521856 16192472712 16288741872 16770657312 16815260124 16953999894 17314723296 17495315344 18012928224 18168212088 18216531801 18604117584 18707861952 19514005576 19682229762 20093629504 20101000608 20264544252 20695704768 20866461408 21589963616 21718322496 21953256273 22420346832 22605333192 24224282784 24288709068 24433112808 24805490112 25430999841 26242973016 27019392336 27252318132 28061792928 29271008364 29523344643 29893795776 30140444256 30151500912 30396816378 31299692112 31710259061 32384945424 32577483744 33541314624 33630520248 33907999788 34629446592 34990630688 36025856448 36336424176 36433063602 37208235168 39028011152 39364459524 40202001216 40529088504 41732922816 43179927232 43906512546 44840693664 45210666384 48448565568 48577418136 48866225616 50861999682 52485946032 54038784672 54504636264 54649595403 56123585856 58542016728 59046689286 60280888512 60303001824 60793632756 62599384224 63420518122 64769890848 65154967488 65859768819 67261040496 67815999576 69981261376 72672848352 72866127204 74416470336 78056022304 78728919048 81058177008 87813025092 88570033929 89681387328 90421332768 95130777183 97154836272 97732451232 101723999364 104971892064 108077569344 109009272528 109299190806 117084033456 118093378572 120606003648 121587265512 125198768448 126841036244 129539781696 131719537638 134522080992 135631999152 145345696704 145732254408 156112044608 157457838096 162116354016 175626050184 177140067858 180842665536 190261554366 194309672544 195464902464 197579306457 203447998728 209943784128 218018545056 218598381612 234168066912 236186757144 243174531024 253682072488 263439075276 269044161984 271263998304 285392331549 291464508816 314915676192 324232708032 351252100368 354280135716 380523108732 388619345088 395158612914 406895997456 436037090112 437196763224 468336133824 472373514288 486349062048 507364144976 526878150552 542527996608 570784663098 582929017632 629831352384 702504200736 708560271432 761046217464 790317225828 813791994912 856176994647 874393526448 944747028576 972698124096 1014728289952 1053756301104 1141569326196 1165858035264 1405008401472 1417120542864 1522092434928 1580634451656 1627583989824 1712353989294 1748787052896 1889494057152 2029456579904 2107512602208 2283138652392 2568530983941 2834241085728 3044184869856 3161268903312 3424707978588 3497574105792 4215025204416 4566277304784 5137061967882 5668482171456 6088369739712 6322537806624 6849415957176 9132554609568 10274123935764 12645075613248 13698831914352 18265109219136 20548247871528 27397663828704 41096495743056 54795327657408 82192991486112 164385982972224
- Sum of all divisors σ(n): 563884383067434
- Sum of proper divisors (its aliquot sum) s(n): 399498400095210
- 164385982972224 is an abundant number, because the sum of its proper divisors (399498400095210) is greater than itself. Its abundance is 235112417122986
Bases of 164385982972224
- Binary: 1001010110000010000110000001111100000001010000002
- Hexadecimal: 0x9582181F0140
- Base-36: 1M9PVLXW00
Squares and roots of 164385982972224
- 164385982972224 squared (1643859829722242) is 27022751397744318873155506176
- 164385982972224 cubed (1643859829722243) is 4442161551132239897805373993583563668455424
-
The
square root of 164385982972224 is 12821309.7214061559 -
The
cube root of 164385982972224 is 54779.9453065487
Scales and comparisons
How big is 164385982972224?- 164,385,982,972,224 seconds is equal to 5,226,965 years, 40 weeks, 3 days, 15 hours, 50 minutes, 24 seconds.
-
To count from 1 to 164,385,982,972,224 would take you about thirteen million, sixty-seven thousand, four hundred fourteen years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 164385982972224 cubic inches would be around 4565 feet tall.
Recreational maths with 164385982972224
- 164385982972224 backwards is 422279289583461
- 164385982972224 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 164385982972224's digits is 72
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 164385982972224 - Facts about the integer". Numbermatics.com. 2024. Web. 9 June 2024.
APA style:
Numbermatics. (2024). Number 164385982972224 - Facts about the integer. Retrieved 9 June 2024, from https://numbermatics.com/n/164385982972224/
Chicago style:
Numbermatics. 2024. "Number 164385982972224 - Facts about the integer". https://numbermatics.com/n/164385982972224/
The information we have on file for 164385982972224 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
Keywords: Divisors of 164385982972224, math, Factors of 164385982972224, curriculum, school, college, exams, university, Prime factorization of 164385982972224, STEM, science, technology, engineering, physics, economics, calculator, one hundred sixty-four trillion, three hundred eighty-five billion, nine hundred eighty-two million, nine hundred seventy-two thousand, two hundred twenty-four.