138641916999168
138,641,916,999,168 is an even composite number composed of six prime numbers multiplied together.
What does the number 138641916999168 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1600 divisors.
138641916999168 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, six hundred divisors.
Prime factorization of 138641916999168:
29 × 34 × 11 × 17 × 293 × 733
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 11 × 17 × 29 × 29 × 29 × 733)See below for interesting mathematical facts about the number 138641916999168 from the Numbermatics database.
Names of 138641916999168
- Cardinal: 138641916999168 can be written as One hundred thirty-eight trillion, six hundred forty-one billion, nine hundred sixteen million, nine hundred ninety-nine thousand, one hundred sixty-eight.
Scientific notation
- Scientific notation: 1.38641916999168 × 1014
Factors of 138641916999168
Divisors of 138641916999168
- Number of divisors d(n): 1600
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 17 18 22 24 27 29 32 33 34 36 44 48 51 54 58 64 66 68 72 81 87 88 96 99 102 108 116 128 132 136 144 153 162 174 176 187 192 198 204 216 232 256 261 264 272 288 297 306 319 324 348 352 374 384 396 408 432 459 464 493 512 522 528 544 561 576 594 612 638 648 696 704 733 748 768 783 792 816 841 864 891 918 928 957 986 1044 1056 1088 1122 1152 1188 1224 1276 1296 1377 1392 1408 1466 1479 1496 1536 1566 1584 1632 1682 1683 1728 1782 1836 1856 1914 1972 2088 2112 2176 2199 2244 2304 2349 2376 2448 2523 2552 2592 2754 2784 2816 2871 2932 2958 2992 3132 3168 3264 3364 3366 3456 3564 3672 3712 3828 3944 4176 4224 4352 4398 4437 4488 4608 4698 4752 4896 5046 5049 5104 5184 5423 5508 5568 5632 5742 5864 5916 5984 6264 6336 6528 6597 6728 6732 6912 7128 7344 7424 7569 7656 7888 8063 8352 8448 8613 8704 8796 8874 8976 9251 9396 9504 9792 10092 10098 10208 10368 10846 11016 11136 11484 11728 11832 11968 12461 12528 12672 13056 13194 13311 13456 13464 13824 14256 14297 14688 14848 15138 15147 15312 15776 16126 16269 16704 16896 17226 17592 17748 17952 18502 18792 19008 19584 19791 20184 20196 20416 20736 21257 21692 22032 22272 22707 22968 23456 23664 23936 24189 24389 24922 25056 25344 25839 26112 26388 26622 26912 26928 27753 28512 28594 29376 30276 30294 30624 31552 32252 32538 33408 34452 35184 35496 35904 37004 37383 37584 38016 39168 39582 39933 40368 40392 40832 41472 42514 42891 43384 44064 44544 45414 45936 46912 47328 47872 48378 48778 48807 49844 50112 50688 51678 52776 53244 53824 53856 55506 57024 57188 58752 59373 60552 60588 61248 63104 63771 64504 65076 66816 68121 68904 70368 70992 71808 72567 73167 74008 74766 75168 76032 78336 79164 79866 80736 80784 81664 83259 85028 85782 86768 88128 90828 91872 93824 94656 95744 96756 97556 97614 99688 100224 103356 105552 106488 107648 107712 111012 112149 114048 114376 117504 118746 121104 121176 122496 126208 127542 128673 129008 130152 133632 136242 137071 137808 140736 141984 143616 145134 146334 146421 148016 149532 150336 152064 157267 158328 159732 161472 161568 163328 166518 170056 171564 173536 176256 181656 183744 187648 189312 191313 193512 195112 195228 199376 200448 206712 211104 212976 215296 215424 217701 219501 222024 224298 228096 228752 233827 235008 237492 242208 242352 244992 249777 252416 255084 257346 258016 260304 268279 272484 274142 275616 281472 283968 287232 290268 292668 292842 296032 299064 300672 314534 316656 319464 322944 323136 333036 336447 340112 343128 347072 352512 361369 363312 367488 375296 378624 382626 386019 387024 390224 390456 398752 400896 411213 413424 414613 422208 425952 430592 430848 435402 439002 439263 444048 448596 456192 457504 467654 471801 474984 484416 484704 489984 499554 510168 514692 516032 520608 536558 544968 548284 551232 562944 567936 573939 580536 585336 585684 592064 598128 601344 616453 629068 633312 638928 645888 646272 653103 658503 666072 672894 680224 686256 694144 701481 705024 722738 726624 734976 749331 757248 765252 772038 774048 780448 780912 797504 804837 822426 826848 829226 844416 851904 861696 870804 878004 878526 888096 897192 915008 935308 943602 949968 968832 969408 999108 1009341 1020336 1029384 1032064 1041216 1073116 1084107 1089936 1096568 1102464 1125888 1135872 1147878 1158057 1161072 1170672 1171368 1184128 1196256 1202688 1232906 1233639 1243839 1258136 1266624 1277856 1291776 1292544 1306206 1317006 1332144 1345788 1360448 1372512 1388288 1402962 1415403 1445476 1453248 1469952 1498662 1530504 1544076 1548096 1560896 1561824 1595008 1609674 1644852 1653696 1658452 1688832 1703808 1721817 1741608 1756008 1757052 1776192 1794384 1830016 1849359 1870616 1887204 1899936 1937664 1938816 1975509 1998216 2018682 2040672 2058768 2064128 2082432 2104443 2146232 2168214 2179872 2193136 2204928 2271744 2295756 2316114 2322144 2341344 2342736 2368256 2392512 2414511 2465812 2467278 2487678 2516272 2533248 2555712 2585088 2612412 2634012 2664288 2691576 2720896 2745024 2776576 2805924 2830806 2890952 2906496 2997324 3061008 3088152 3096192 3121792 3123648 3190016 3219348 3252321 3289704 3307392 3316904 3377664 3407616 3443634 3483216 3512016 3514104 3552384 3588768 3660032 3698718 3700917 3731517 3741232 3774408 3799872 3875328 3877632 3951018 3975059 3996432 4037364 4081344 4117536 4128256 4164864 4208886 4246209 4292464 4336428 4359744 4386272 4409856 4560743 4591512 4632228 4644288 4682688 4685472 4736512 4785024 4829022 4931624 4934556 4975356 5032544 5066496 5111424 5224824 5268024 5328576 5383152 5441792 5490048 5548077 5611848 5661612 5781904 5812992 5994648 6122016 6176304 6192384 6243584 6247296 6313329 6380032 6438696 6504642 6579408 6614784 6633808 6780983 6815232 6887268 6966432 7024032 7028208 7104768 7177536 7243533 7320064 7397436 7401834 7463034 7482464 7548816 7599744 7755264 7902036 7950118 7992864 8074728 8162688 8235072 8329728 8417772 8492418 8584928 8672856 8719488 8772544 9121486 9183024 9264456 9288576 9365376 9370944 9570048 9658044 9756963 9863248 9869112 9950712 10065088 10132992 10222848 10449648 10479701 10536048 10657152 10766304 10883584 10980096 11096154 11102751 11194551 11223696 11323224 11563808 11625984 11925177 11989296 12244032 12352608 12384768 12487168 12494592 12626658 12738627 12877392 13009284 13158816 13229568 13267616 13561966 13682229 13774536 13932864 14048064 14056416 14209536 14355072 14487066 14794872 14803668 14926068 14964928 15097632 15199488 15804072 15900236 15985728 16149456 16325376 16470144 16644231 16835544 16984836 17169856 17345712 17438976 17545088 17877137 18242972 18366048 18528912 18577152 18730752 18741888 18939987 19140096 19316088 19513926 19726496 19738224 19901424 20130176 20342949 20445696 20899296 20959402 21072096 21314304 21532608 21730599 21960192 22192308 22205502 22389102 22447392 22646448 23127616 23850354 23978592 24488064 24705216 24989184 25253316 25477254 25754784 26018568 26317632 26535232 27123932 27364458 27549072 27865728 28096128 28112832 28710144 28974132 29270889 29589744 29607336 29852136 29929856 30195264 30398976 31439103 31608144 31800472 31971456 32298912 32650752 32940288 33288462 33583653 33671088 33969672 34339712 34691424 34877952 35090176 35754274 35775531 36485944 36732096 37057824 37154304 37461504 37483776 37879974 38632176 39027852 39452992 39476448 39802848 40260352 40685898 41046687 41798592 41918804 42144192 42628608 43065216 43461198 44384616 44411004 44778204 44894784 45292896 46255232 47700708 47957184 48976128 49410432 49932693 50506632 50954508 51509568 52037136 52635264 53070464 53631411 54247864 54728916 55098144 55731456 56192256 56225664 57420288 57948264 58541778 59179488 59214672 59704272 59859712 60390528 61028847 62878206 63216288 63600944 63942912 64597824 65880576 66576924 67167306 67342176 67939344 68679424 69382848 70180352 71508548 71551062 72971888 73464192 74115648 74967552 75759948 77264352 78055704 78905984 78952896 79605696 80520704 81371796 82093374 83597184 83837608 84288384 86130432 86922396 88769232 88822008 89556408 89789568 90585792 92510464 94317309 95401416 95914368 97952256 98820864 99865386 101013264 101909016 103019136 104074272 105270528 106140928 107262822 107326593 108495728 109457832 110196288 111462912 112384512 112451328 115276711 115896528 117083556 118358976 118429344 119408544 119719424 120781056 122057694 123140061 125756412 126432576 127201888 127885824 129195648 133153848 134334612 134684352 135878688 137358848 138765696 143017096 143102124 145943776 146928384 148231296 151519896 154528704 156111408 157811968 157905792 159211392 160894233 162743592 164186748 167194368 167675216 168576768 172260864 173844792 177538464 177644016 179112816 179579136 181171584 183086541 185020928 188634618 190802832 191828736 196648507 197641728 199730772 202026528 203818032 206038272 208148544 210541056 212281856 214525644 214653186 216991456 218915664 220392576 224902656 230553422 231793056 234167112 236717952 236858688 238817088 241562112 244115388 246280122 251512824 252865152 254403776 258391296 266307696 268669224 269368704 271757376 277531392 282951927 286034192 286204248 291887552 293856768 296462592 303039792 303911329 309057408 312222816 315623936 315811584 318422784 321788466 321979779 325487184 328373496 334388736 335350432 337153536 345830133 347689584 355076928 355288032 358225632 359158272 362343168 366173082 369420183 377269236 381605664 383657472 393297014 399461544 404053056 407636064 412076544 416297088 429051288 429306372 433982912 437831328 440785152 461106844 463586112 468334224 473435904 473717376 477634176 482682699 488230776 492560244 503025648 505730304 508807552 516782592 532615392 537338448 538737408 543514752 549259623 555062784 565903854 572068384 572408496 583775104 589945521 592925184 606079584 607822658 618114816 624445632 631623168 636845568 643576932 643959558 650974368 656746992 670700864 691660266 695379168 710153856 710576064 716451264 724686336 732346164 738840366 754538472 763211328 786594028 798923088 808106112 815272128 832594176 848855781 858102576 858612744 867965824 875662656 881570304 911733987 922213688 927172224 936668448 946871808 947434752 955268352 965365398 976461552 985120488 1006051296 1011460608 1017615104 1037490399 1065230784 1074676896 1077474816 1087029504 1098519246 1131807708 1144136768 1144816992 1167550208 1179891042 1212159168 1215645316 1236229632 1248891264 1287153864 1287919116 1301948736 1313493984 1341401728 1383320532 1390758336 1420307712 1421152128 1432902528 1448048097 1464692328 1477680732 1509076944 1526422656 1573188056 1597846176 1616212224 1630544256 1665188352 1697711562 1716205152 1717225488 1735931648 1751325312 1769836563 1823467974 1844427376 1854344448 1873336896 1894869504 1910536704 1930730796 1952923104 1970240976 2012102592 2035230208 2074980798 2130461568 2149353792 2174059008 2197038492 2263615416 2288273536 2289633984 2335100416 2359782084 2424318336 2431290632 2497782528 2574307728 2575838232 2603897472 2626987968 2682803456 2735201961 2766641064 2781516672 2840615424 2842304256 2865805056 2896096194 2929384656 2955361464 3018153888 3052845312 3112471197 3146376112 3195692352 3232424448 3261088512 3343024619 3395423124 3432410304 3434450976 3471863296 3502650624 3539673126 3646935948 3688854752 3708688896 3746673792 3861461592 3905846208 3940481952 4024205184 4149961596 4260923136 4298707584 4394076984 4527230832 4576547072 4579267968 4719564168 4848636672 4862581264 4995565056 5148615456 5151676464 5207794944 5253975936 5309509689 5365606912 5470403922 5533282128 5563033344 5684608512 5731610112 5792192388 5858769312 5910722928 6036307776 6105690624 6224942394 6292752224 6391384704 6522177024 6686049238 6790846248 6864820608 6868901952 7005301248 7079346252 7293871896 7377709504 7493347584 7722923184 7811692416 7880963904 8048410368 8205605883 8299923192 8521846272 8597415168 8788153968 9054461664 9153094144 9158535936 9337413591 9439128336 9697273344 9725162528 10029073857 10297230912 10303352928 10415589888 10507951872 10619019378 10940807844 11066564256 11126066688 11584384776 11717538624 11821445856 12072615552 12449884788 12585504448 12782769408 13372098476 13581692496 13729641216 13737803904 14158692504 14587743792 14755419008 14986695168 15445846368 15623384832 15761927808 15928529067 16096820736 16411211766 16599846384 17194830336 17576307936 18108923328 18317071872 18674827182 18878256672 19450325056 20058147714 20594461824 20606705856 21015903744 21238038756 21881615688 22133128512 23168769552 23435077248 23642891712 24145231104 24616817649 24899769576 25171008896 25565538816 26744196952 27163384992 27459282432 27475607808 28317385008 29175487584 29510838016 30087221571 30891692736 31246769664 31523855616 31857058134 32822423532 33199692768 35152615872 36217846656 37349654364 37756513344 38900650112 40116295428 41188923648 41213411712 42476077512 43763231376 44266257024 46337539104 46870154496 47285783424 48290462208 49233635298 49799539152 50342017792 53488393904 54326769984 54951215616 56634770016 58350975168 59021676032 60174443142 61783385472 63047711232 63714116268 65644847064 66399385536 70305231744 72435693312 74699308728 75513026688 77801300224 80232590856 82377847296 82426823424 84952155024 87526462752 88532514048 90261664713 92675078208 93740308992 94571566848 98467270596 99599078304 100684035584 106976787808 108653539968 113269540032 116701950336 120348886284 123566770944 127428232536 131289694128 132798771072 140610463488 144871386624 149398617456 151026053376 155602600448 160465181712 164853646848 169904310048 175052925504 177065028096 180523329426 185350156416 189143133696 196934541192 199198156608 213953575616 217307079936 226539080064 233403900672 240697772568 247133541888 254856465072 262579388256 265597542144 270784994139 281220926976 298797234912 302052106752 320930363424 339808620096 350105851008 361046658852 370700312832 393869082384 398396313216 427907151232 434614159872 453078160128 466807801344 481395545136 509712930144 525158776512 531195084288 541569988278 597594469824 641860726848 679617240192 700211702016 722093317704 741400625664 787738164768 796792626432 855814302464 906156320256 962791090272 1019425860288 1050317553024 1083139976556 1195188939648 1283721453696 1359234480384 1400423404032 1444186635408 1575476329536 1593585252864 1711628604928 1925582180544 2038851720576 2100635106048 2166279953112 2390377879296 2567442907392 2718468960768 2888373270816 3150952659072 3851164361088 4077703441152 4201270212096 4332559906224 4780755758592 5134885814784 5776746541632 6301905318144 7702328722176 8155406882304 8665119812448 11553493083264 12603810636288 15404657444352 17330239624896 23106986166528 34660479249792 46213972333056 69320958499584 138641916999168
- Sum of all divisors σ(n): 495728812307520
- Sum of proper divisors (its aliquot sum) s(n): 357086895308352
- 138641916999168 is an abundant number, because the sum of its proper divisors (357086895308352) is greater than itself. Its abundance is 218444978309184
Bases of 138641916999168
- Binary: 111111000011000000101100011011010110110000000002
- Hexadecimal: 0x7E181636B600
- Base-36: 1D577TR400
Squares and roots of 138641916999168
- 138641916999168 squared (1386419169991682) is 19221581149204188850112692224
- 138641916999168 cubed (1386419169991683) is 2664916858280739411093511430843059648069632
-
The
square root of 138641916999168 is 11774630.2277043079 -
The
cube root of 138641916999168 is 51756.4942567207
Scales and comparisons
How big is 138641916999168?- 138,641,916,999,168 seconds is equal to 4,408,384 years, 5 weeks, 6 days, 2 hours, 52 minutes, 48 seconds.
-
To count from 1 to 138,641,916,999,168 would take you about eleven million, twenty thousand, nine hundred sixty 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 138641916999168 cubic inches would be around 4313 feet tall.
Recreational maths with 138641916999168
- 138641916999168 backwards is 861999619146831
- 138641916999168 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138641916999168's digits is 81
- More coming soon!
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"Number 138641916999168 - Facts about the integer". Numbermatics.com. 2024. Web. 21 June 2024.
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Numbermatics. (2024). Number 138641916999168 - Facts about the integer. Retrieved 21 June 2024, from https://numbermatics.com/n/138641916999168/
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The information we have on file for 138641916999168 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!
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