164564020104000
164,564,020,104,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 164564020104000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1680 divisors.
164564020104000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, six hundred eighty divisors.
Prime factorization of 164564020104000:
26 × 3 × 53 × 114 × 19 × 1572
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 11 × 11 × 11 × 11 × 19 × 157 × 157)See below for interesting mathematical facts about the number 164564020104000 from the Numbermatics database.
Names of 164564020104000
- Cardinal: 164564020104000 can be written as One hundred sixty-four trillion, five hundred sixty-four billion, twenty million, one hundred four thousand.
Scientific notation
- Scientific notation: 1.64564020104 × 1014
Factors of 164564020104000
Divisors of 164564020104000
- Number of divisors d(n): 1680
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 19 20 22 24 25 30 32 33 38 40 44 48 50 55 57 60 64 66 75 76 80 88 95 96 100 110 114 120 121 125 132 150 152 157 160 165 176 190 192 200 209 220 228 240 242 250 264 275 285 300 304 314 320 330 352 363 375 380 400 418 440 456 471 475 480 484 500 528 550 570 600 605 608 627 628 660 704 726 750 760 785 800 825 836 880 912 942 950 960 968 1000 1045 1056 1100 1140 1200 1210 1216 1254 1256 1320 1331 1375 1425 1452 1500 1520 1570 1600 1650 1672 1727 1760 1815 1824 1884 1900 1936 2000 2090 2112 2200 2280 2299 2355 2375 2400 2420 2508 2512 2640 2662 2750 2850 2904 2983 3000 3025 3040 3135 3140 3300 3344 3454 3520 3630 3648 3768 3800 3872 3925 3993 4000 4125 4180 4400 4560 4598 4710 4750 4800 4840 5016 5024 5181 5225 5280 5324 5500 5700 5808 5966 6000 6050 6080 6270 6280 6600 6655 6688 6897 6908 7125 7260 7536 7600 7744 7850 7986 8000 8250 8360 8635 8800 8949 9075 9120 9196 9420 9500 9680 10032 10048 10362 10450 10560 10648 11000 11400 11495 11616 11775 11932 12000 12100 12540 12560 13200 13310 13376 13794 13816 14250 14520 14641 14915 15072 15125 15200 15675 15700 15972 16500 16720 17270 17600 17898 18150 18240 18392 18840 18997 19000 19360 19625 19965 20064 20724 20900 21296 22000 22800 22990 23232 23550 23864 24000 24200 24649 25080 25120 25289 25905 26125 26400 26620 27588 27632 28500 29040 29282 29830 30144 30250 30400 31350 31400 31944 32813 33000 33275 33440 34485 34540 35796 36300 36784 37680 37994 38000 38720 39250 39930 40128 41448 41800 42592 43175 43923 44000 44745 45375 45600 45980 47100 47728 48400 49298 50160 50240 50578 51810 52250 52800 53240 55176 55264 56991 57000 57475 58080 58564 58875 59660 60500 62700 62800 63888 65626 66000 66550 66880 68970 69080 71592 72600 73205 73568 73947 74575 75360 75867 75988 76000 78375 78500 79860 82896 83600 85184 86350 87846 88000 89490 90750 91200 91960 94200 94985 95456 96800 98439 98596 99825 100320 101156 103620 104500 106480 110352 110528 113982 114000 114950 116160 117128 117750 119320 121000 123245 125400 125600 126445 127776 129525 131252 132000 133100 137940 138160 143184 145200 146410 147136 147894 149150 150720 151734 151976 152000 156750 157000 159720 164065 165792 166375 167200 172425 172700 175692 178980 181500 183920 188400 189970 190912 193600 196878 197192 199650 200640 202312 207240 208967 209000 212960 215875 219615 220704 223725 227964 228000 229900 234256 235500 238640 242000 246490 250800 251200 252890 255552 259050 262504 264000 266200 271139 275880 276320 278179 284955 286368 287375 290400 292820 295788 298300 303468 303952 313500 314000 319440 328130 331584 332750 334400 344850 345400 351384 357960 360943 363000 366025 367840 369735 372875 376800 379335 379940 393756 394384 399300 404624 414480 417934 418000 425920 431750 439230 441408 447450 455928 456000 459800 468331 468512 471000 474925 477280 484000 492195 492980 499125 501600 505780 518100 525008 532400 542278 551760 552640 556358 569910 572736 574750 580800 585640 591576 596600 606936 607904 616225 626901 627000 628000 632225 638880 647625 656260 665500 689700 690800 702768 715920 721886 726000 732050 735680 739470 745750 753600 758670 759880 787512 788768 798600 809248 813417 820325 828960 834537 835868 836000 862125 863500 878460 894900 911856 919600 936662 937024 942000 949850 954560 968000 984390 985960 998250 1003200 1011560 1036200 1044835 1050016 1064800 1082829 1084556 1098075 1103520 1112716 1118625 1139820 1149500 1171280 1183152 1193200 1213872 1215808 1232450 1253802 1254000 1256000 1264450 1277760 1295250 1312520 1331000 1355695 1379400 1381600 1390895 1404993 1405536 1424775 1431840 1443772 1452000 1464100 1478940 1491500 1517340 1519760 1575024 1577536 1597200 1618496 1626834 1640650 1657920 1669074 1671736 1672000 1724250 1727000 1756920 1789800 1804715 1823712 1830125 1839200 1848675 1873324 1884000 1896675 1899700 1968780 1971920 1996500 2023120 2072400 2089670 2100032 2129600 2165658 2169112 2196150 2207040 2225432 2237250 2279640 2298637 2299000 2341655 2342560 2366304 2374625 2386400 2427744 2460975 2464900 2507604 2508000 2528900 2590500 2625040 2662000 2711390 2758800 2763200 2781790 2809986 2811072 2849550 2863680 2887544 2904000 2928200 2957880 2982529 2983000 3034680 3039520 3081125 3134505 3150048 3161125 3194400 3253668 3281300 3338148 3343472 3448500 3454000 3513840 3579600 3609430 3647424 3660250 3678400 3697350 3746648 3768000 3793350 3799400 3937560 3943840 3970373 3993000 4046240 4067085 4101625 4144800 4172685 4179340 4331316 4338224 4392300 4450864 4474500 4559280 4597274 4598000 4683310 4685120 4732608 4749250 4772800 4855488 4921950 4929800 5015208 5016000 5057800 5151641 5181000 5224175 5250080 5324000 5414145 5422780 5490375 5517600 5563580 5619972 5699100 5775088 5856400 5915760 5965058 5966000 6069360 6079040 6162250 6269010 6300096 6322250 6388800 6507336 6562600 6676296 6686944 6778475 6895911 6897000 6908000 6954475 7024965 7027680 7123875 7159200 7218860 7320500 7394700 7493296 7586700 7598800 7875120 7887680 7940746 7986000 8092480 8134170 8203250 8289600 8345370 8358680 8662632 8676448 8784600 8901728 8947587 8949000 9023575 9118560 9194548 9196000 9243375 9366620 9483375 9498500 9843900 9859600 10030416 10115600 10303282 10362000 10448350 10500160 10648000 10828290 10845560 10980750 11035200 11127160 11239944 11398200 11493185 11550176 11708275 11712800 11831520 11911119 11930116 11932000 12138720 12304875 12324500 12538020 12644500 13014672 13125200 13352592 13373888 13556950 13791822 13794000 13816000 13908950 14049930 14055360 14247750 14318400 14437720 14641000 14789400 14912645 14986592 15173400 15197600 15454923 15672525 15750240 15881492 15972000 16268340 16406500 16690740 16717360 17325264 17352896 17569200 17803456 17895174 17898000 18047150 18237120 18389096 18392000 18486750 18733240 18966750 18997000 19687800 19719200 19851865 20060832 20231200 20335425 20606564 20724000 20863425 20896700 21656580 21691120 21961500 22254320 22479888 22796400 22986370 23100352 23416550 23425600 23663040 23822238 23860232 23864000 24277440 24609750 24649000 25076040 25289000 25758205 26029344 26120875 26250400 26705184 27070725 27113900 27583644 27588000 27817900 28099860 28495500 28875440 29282000 29578800 29825290 29973184 30346800 30395200 30909846 31345050 31500480 31762984 31944000 32536680 32807819 32813000 33381480 33434720 33892375 34479555 34650528 34772375 35124825 35138400 35790348 35796000 36094300 36778192 36973500 37466480 37933500 37994000 39375600 39438400 39703730 40121664 40462400 40670850 41213128 41448000 41726850 41793400 43313160 43382240 43674103 43923000 44508640 44737935 44959776 45117875 45592800 45972740 46833100 47644476 47720464 49219500 49298000 50152080 50578000 51516410 52058688 52241750 52500800 53410368 54141450 54227800 55167288 55176000 55635800 56199720 56668051 56991000 57465925 57750880 58541375 58564000 59157600 59555595 59650580 60693600 61819692 62690100 63525968 65073360 65615638 65626000 66762960 66869440 67784750 68959110 69301056 69544750 70249650 70276800 71580696 71592000 72188600 73556384 73947000 74563225 74932960 75867000 75988000 77274615 78362625 78751200 79407460 81341700 82426256 83453700 83586800 86626320 86764480 87348206 87846000 89017280 89475870 89919552 90235750 91185600 91945480 93666200 95288952 95440928 98423457 98439000 98596000 99259325 100304160 101156000 101677125 103032820 104317125 104483500 108282900 108455600 110334576 111271600 112399440 113336102 113982000 114931850 115501760 117082750 117128000 118315200 119111190 119301160 121387200 123639384 125380200 127051936 128791025 130146720 131022309 131231276 131252000 133525920 135353625 135569500 137918220 139089500 140499300 143161392 144377200 147112768 147894000 149126450 149865920 151734000 151976000 154549230 156725250 157502400 158814920 162683400 164039095 164852512 166907400 167173600 170004153 172397775 173252640 174696412 175624125 175692000 178951740 180471500 183890960 187332400 190577904 190881856 196846914 196878000 197192000 198518650 200608320 202312000 203354250 206065640 208634250 208967000 216565800 216911200 218370515 220669152 222543200 223689675 224798880 226672204 227964000 229863700 234165500 238222380 238602320 247278768 250760400 254103872 257582050 260293440 262044618 262462552 262504000 267051840 270707250 271139000 275836440 278179000 280998600 283340255 286322784 287329625 288754400 295788000 297777975 298252900 303468000 309098460 313450500 317629840 325366800 328078190 329705024 333814800 334347200 340008306 344795550 346505280 349392824 351248250 351384000 357903480 360886009 360943000 367781920 372816125 374664800 381155808 386373075 393693828 393756000 397037300 406708500 412131280 417268500 417934000 433131600 433822400 436741030 441338304 445086400 447379350 449597760 453344408 455928000 459727400 468331000 476444760 477204640 492117285 494557536 496296625 501520800 515164100 524089236 524925104 541414500 542278000 551672880 556358000 561997200 566680510 572645568 574659250 577508800 591576000 595555950 596505800 606936000 618196920 623348561 626901000 635259680 643955125 650733600 655111545 656156380 667629600 680016612 689591100 698785648 702496500 715806960 721772018 721886000 735563840 745632250 749329600 762311616 772746150 787387656 787512000 794074600 813417000 820195475 824262560 834537000 835868000 850020765 861988875 866263200 873482060 894758700 906688816 919454800 936662000 952889520 954409280 984234570 989115072 992593250 1003041600 1030328200 1048178472 1049850208 1082658027 1082829000 1084556000 1091852575 1103345760 1112716000 1118448375 1123994400 1133361020 1149318500 1191111900 1193011600 1236393840 1246697122 1253802000 1270519360 1287910250 1301467200 1310223090 1312312760 1335259200 1360033224 1379182200 1397571296 1404993000 1416701275 1431613920 1443544036 1443772000 1488889875 1491264500 1545492300 1574775312 1588149200 1626834000 1640390950 1648525120 1669074000 1671736000 1700041530 1723977750 1732526400 1746964120 1789517400 1804430045 1813377632 1838909600 1870045683 1873324000 1905779040 1931865375 1968469140 1985186500 2060656400 2096356944 2099700416 2165316054 2165658000 2169112000 2183705150 2206691520 2225432000 2236896750 2247988800 2266722040 2298637000 2382223800 2386023200 2460586425 2472787680 2493394244 2507604000 2575820500 2620446180 2624625520 2720066448 2758364400 2795142592 2809986000 2833402550 2863227840 2887088072 2887544000 2977779750 2982529000 3090984600 3116742805 3149550624 3176298400 3253668000 3275557725 3280781900 3338148000 3400083060 3447955500 3493928240 3579034800 3608860090 3626755264 3677819200 3740091366 3746648000 3811558080 3863730750 3936938280 3970373000 4100977375 4121312800 4192713888 4250103825 4330632108 4331316000 4367410300 4473793500 4533444080 4597274000 4764447600 4772046400 4921172850 4945575360 4986788488 5015208000 5151641000 5240892360 5249251040 5413290135 5440132896 5459262875 5516728800 5619972000 5666805100 5774176144 5955559500 5965058000 6181969200 6233485610 6299101248 6352596800 6507336000 6551115450 6561563800 6676296000 6800166120 6856834171 6895911000 6987856480 7083506375 7158069600 7217720180 7480182732 7727461500 7873876560 7940746000 8201954750 8242625600 8385427776 8500207650 8661264216 8662632000 8734820600 8947587000 9022150225 9066888160 9194548000 9350228415 9528895200 9842345700 9973576976 10303282000 10481784720 10498502080 10826580270 10880265792 10918525750 11033457600 11239944000 11333610200 11548352288 11911119000 11930116000 12302932125 12363938400 12466971220 13102230900 13123127600 13600332240 13713668342 13791822000 13975712960 14167012750 14316139200 14435440360 14960365464 15454923000 15583714025 15747753120 15881492000 16377788625 16403909500 17000415300 17322528432 17469641200 17895174000 18044300450 18133776320 18389096000 18700456830 19057790400 19684691400 19947153952 20570502513 20606564000 20963569440 21250519125 21653160540 21837051500 22667220400 23096704576 23822238000 23860232000 24605864250 24727876800 24933942440 26204461800 26246255200 27066450675 27200664480 27427336684 27583644000 28334025500 28870880720 29920730928 30909846000 31167428050 31495506240 31762984000 32755577250 32807819000 34000830600 34284170855 34645056864 34939282400 35790348000 36088600900 37400913660 39369382800 39894307904 41141005026 41213128000 41927138880 42501038250 43306321080 43674103000 45110751125 45334440800 46751142075 47644476000 49211728500 49867884880 52408923600 52492510400 54132901350 54401328960 54854673368 55167288000 56668051000 57741761440 59841461856 61819692000 62334856100 65511154500 65615638000 68001661200 68568341710 69290113728 69878564800 71580696000 72177201800 74801827320 77918570125 78738765600 82282010052 85002076500 86612642160 87348206000 90221502250 90668881600 93502284150 95288952000 98423457000 99735769760 102852512565 104817847200 108265802700 109709346736 113336102000 115483522880 119682923712 123639384000 124669712200 131022309000 131231276000 135332253375 136003322400 137136683420 144354403600 149603654640 155837140250 157477531200 164564020104 170004153000 171420854275 173225284320 174696412000 180443004500 187004568300 196846914000 199471539520 205705025130 209635694400 216531605400 219418693472 226672204000 233755710375 249339424400 262044618000 262462552000 270664506750 272006644800 274273366840 288708807200 299207309280 311674280500 329128040208 340008306000 342841708550 346450568640 349392824000 360886009000 374009136600 393693828000 411410050260 433063210800 438837386944 453344408000 467511420750 498678848800 514262562825 524089236000 541329013500 548546733680 577417614400 598414618560 623348561000 658256080416 680016612000 685683417100 721772018000 748018273200 787387656000 822820100520 857104271375 866126421600 935022841500 997357697600 1028525125650 1048178472000 1082658027000 1097093467360 1246697122000 1316512160832 1360033224000 1371366834200 1443544036000 1496036546400 1645640201040 1714208542750 1732252843200 1870045683000 2057050251300 2165316054000 2194186934720 2493394244000 2571312814125 2742733668400 2887088072000 2992073092800 3291280402080 3428417085500 3740091366000 4114100502600 4330632108000 4986788488000 5142625628250 5485467336800 6582560804160 6856834171000 7480182732000 8228201005200 8661264216000 10285251256500 10970934673600 13713668342000 14960365464000 16456402010400 20570502513000 27427336684000 32912804020800 41141005026000 54854673368000 82282010052000 164564020104000
- Sum of all divisors σ(n): 633218044305600
- Sum of proper divisors (its aliquot sum) s(n): 468654024201600
- 164564020104000 is an abundant number, because the sum of its proper divisors (468654024201600) is greater than itself. Its abundance is 304090004097600
Bases of 164564020104000
- Binary: 1001010110101011100010111111011000001011010000002
- Hexadecimal: 0x95AB8BF60B40
- Base-36: 1MBZO0NI2O
Squares and roots of 164564020104000
- 164564020104000 squared (1645640201040002) is 27081316712789716170816000000
- 164564020104000 cubed (1645640201040003) is 4456610347966318045858618122084864000000000
-
The
square root of 164564020104000 is 12828250.8591000043 -
The
cube root of 164564020104000 is 54799.7145215739
Scales and comparisons
How big is 164564020104000?- 164,564,020,104,000 seconds is equal to 5,232,626 years, 42 weeks, 14 hours, 40 minutes.
-
To count from 1 to 164,564,020,104,000 would take you about thirteen million, eighty-one thousand, five hundred sixty-seven 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 164564020104000 cubic inches would be around 4566.6 feet tall.
Recreational maths with 164564020104000
- 164564020104000 backwards is 000401020465461
- 164564020104000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 164564020104000's digits is 33
- More coming soon!
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"Number 164564020104000 - Facts about the integer". Numbermatics.com. 2024. Web. 28 May 2024.
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Numbermatics. (2024). Number 164564020104000 - Facts about the integer. Retrieved 28 May 2024, from https://numbermatics.com/n/164564020104000/
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The information we have on file for 164564020104000 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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