138753916612820800
138,753,916,612,820,800 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138753916612820800 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1008 divisors.
138753916612820800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand and eight divisors.
Prime factorization of 138753916612820800:
26 × 52 × 29 × 432 × 127 × 281 × 45319
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 29 × 43 × 43 × 127 × 281 × 45319)See below for interesting mathematical facts about the number 138753916612820800 from the Numbermatics database.
Names of 138753916612820800
- Cardinal: 138753916612820800 can be written as One hundred thirty-eight quadrillion, seven hundred fifty-three trillion, nine hundred sixteen billion, six hundred twelve million, eight hundred twenty thousand, eight hundred.
Scientific notation
- Scientific notation: 1.387539166128208 × 1017
Factors of 138753916612820800
Divisors of 138753916612820800
- Number of divisors d(n): 1008
-
Complete list of divisors:
1 2 4 5 8 10 16 20 25 29 32 40 43 50 58 64 80 86 100 116 127 145 160 172 200 215 232 254 281 290 320 344 400 430 464 508 562 580 635 688 725 800 860 928 1016 1075 1124 1160 1247 1270 1376 1405 1450 1600 1720 1849 1856 2032 2150 2248 2320 2494 2540 2752 2810 2900 3175 3440 3683 3698 4064 4300 4496 4640 4988 5080 5461 5620 5800 6235 6350 6880 7025 7366 7396 8128 8149 8600 8992 9245 9280 9976 10160 10922 11240 11600 12083 12470 12700 13760 14050 14732 14792 16298 17200 17984 18415 18490 19952 20320 21844 22480 23200 24166 24940 25400 27305 28100 29464 29584 31175 32596 34400 35687 36830 36980 39904 40640 40745 43688 44960 45319 46225 46400 48332 49880 50800 53621 54610 56200 58928 59168 60415 62350 65192 68800 71374 73660 73960 79808 81490 87376 89920 90638 92075 92450 96664 99760 101600 107242 109220 112400 117856 118336 120830 124700 130384 136525 142748 147320 147920 158369 162980 174752 178435 181276 184150 184900 193328 199520 203200 203725 214484 218440 224800 226595 234823 235712 241660 249400 260768 268105 273050 285496 294640 295840 302075 316738 325960 349504 350407 356870 362552 368300 369800 386656 399040 407450 428968 436880 449600 453190 469646 483320 498800 519569 521536 536210 546100 570992 589280 591680 604150 633476 651920 700814 713740 725104 736600 739600 773312 791845 814900 857936 873760 892175 906380 939292 966640 997600 1034923 1039138 1072420 1092200 1132975 1141984 1174115 1178560 1208300 1266952 1303840 1314251 1340525 1401628 1427480 1450208 1473200 1479200 1534541 1583690 1629800 1715872 1747520 1752035 1784350 1812760 1878584 1933280 1948717 1995200 2069846 2078276 2144840 2184400 2265950 2283968 2348230 2416600 2533904 2597845 2607680 2628502 2681050 2803256 2854960 2900416 2946400 2958400 3069082 3167380 3259600 3431744 3504070 3568700 3625520 3757168 3866560 3897434 3959225 4139692 4156552 4289680 4368800 4531900 4696460 4833200 5067808 5174615 5195690 5257004 5362100 5606512 5709920 5755513 5870575 5892800 6138164 6334760 6519200 6571255 6809867 7008140 7137400 7251040 7514336 7672705 7794868 7918450 8279384 8313104 8579360 8737600 8760175 9063800 9392920 9666400 9743585 10135616 10349230 10391380 10514008 10724200 11213024 11419840 11511026 11741150 12276328 12669520 12734639 12989225 13038400 13142510 13619734 14016280 14274800 14502080 15028672 15067501 15345410 15589736 15836900 16558768 16626208 17158720 17520350 18127600 18785840 19332800 19487170 20698460 20782760 21028016 21448400 22426048 23022052 23482300 24552656 25339040 25469278 25873075 25978450 26285020 27239468 28032560 28549600 28777565 30135002 30690820 31179472 31673800 32856275 33117536 33252416 34049335 35040700 36255200 37571680 38363525 38974340 41396920 41565520 42056032 42896800 44501689 46044104 46964600 48717925 49105312 50678080 50938556 51746150 51956900 52570040 54478936 56065120 56512793 57099200 57555130 60270004 61381640 62358944 63347600 63673195 65712550 65985263 66235072 68098670 70081400 72510400 75143360 75337505 76727050 77948680 82793840 83131040 83794831 84112064 85793600 89003378 92088208 93929200 97435850 98210624 101877112 103492300 103913800 105140080 108957872 112130240 113025586 115110260 120540008 122763280 124717888 126695200 127346390 131425100 131970526 136197340 140162800 143887825 150675010 153454100 155897360 165587680 166262080 166909877 167589662 170246675 178006756 184176416 187858400 194871700 203754224 206984600 207827600 210280160 217915744 222508445 226051172 230220520 241080016 245526560 247487059 253390400 254692780 262850200 263941052 272394680 280325600 282563965 287775650 301350020 306908200 311794720 318365975 329926315 331175360 333819754 335179324 340493350 356013512 368352832 369304531 375716800 376687525 389743400 407508448 413969200 415655200 418974155 420560320 435831488 445016890 452102344 460441040 482160032 491053120 494974118 509385560 525700400 527882104 544789360 547589477 560651200 565127930 575551300 602700040 613816400 623589440 636731950 659852630 667639508 670358648 680986700 712027024 738609062 753375050 779486800 815016896 827938400 831310400 834549385 837948310 890033780 904204688 920882080 964320064 989948236 1018771120 1051400800 1055764208 1089578720 1095178954 1112542225 1130255860 1151102600 1205400080 1227632800 1237435295 1273463900 1319705260 1335279016 1340717296 1361973400 1412819825 1424054048 1477218124 1506750100 1558973600 1617299153 1649631575 1655876800 1669098770 1675896620 1780067560 1808409376 1841764160 1846522655 1913572627 1979896472 2037542240 2094870775 2102801600 2111528416 2179157440 2190357908 2225084450 2260511720 2302205200 2410800160 2430050099 2455265600 2474870590 2546927800 2639410520 2670558032 2681434592 2723946800 2737947385 2825639650 2848108096 2954436248 3013500200 3117947200 3234598306 3299263150 3338197540 3351793240 3560135120 3616818752 3693045310 3827145254 3959792944 4075084480 4172746925 4189741550 4223056832 4380715816 4450168900 4521023440 4604410400 4821600320 4860100198 4949741180 5093855600 5278821040 5341116064 5362869184 5447893600 5475894770 5651279300 5908872496 6027000400 6187176475 6469196612 6598526300 6676395080 6703586480 7120270240 7177124711 7386090620 7654290508 7919585888 8086495765 8345493850 8379483100 8761431632 8900337800 9042046880 9208820800 9232613275 9567863135 9720200396 9899482360 10187711200 10557642080 10641943537 10682232128 10895787200 10951789540 11302558600 11817744992 12054000800 12150250495 12374352950 12938393224 13197052600 13352790160 13407172960 13689736925 14240540480 14354249422 14772181240 15308581016 15839171776 15880094833 16172991530 16690987700 16758966200 17522863264 17800675600 18084093760 18465226550 19135726270 19440400792 19798964720 20375422400 21115284160 21283887074 21903579080 22605117200 23546347511 23635489984 24108001600 24300500990 24748705900 25876786448 26394105200 26705580320 26814345920 27379473850 28708498844 29544362480 30617162032 31760189666 32345983060 33381975400 33517932400 35045726528 35601351200 35885623555 36930453100 38271452540 38880801584 39597929440 40432478825 42567774148 43807158160 45210234400 46901675437 47092695022 47839315675 48601001980 49497411800 51753572896 52788210400 53209717685 53411160640 54758947700 57416997688 59088724960 60751252475 61234324064 63520379332 64691966120 66763950800 67035864800 69543863579 71202702400 71771247110 73860906200 76542905080 77761603168 79195858880 79400474165 80864957650 85135548296 87614316320 90420468800 93803350874 94185390044 95678631350 97202003960 98994823600 103507145792 105576420800 106419435370 109517895400 114833995376 117731737555 118177449920 121502504950 122468648128 127040758664 129383932240 133527901600 134071729600 139087727158 143542494220 147721812400 153085810160 155523206336 158800948330 161729915300 170271096592 175228632640 179428117775 187606701748 188370780088 191357262700 194404007920 197989647200 212838870740 219035790800 229667990752 234508377185 235463475110 243005009900 254081517328 258767864480 266048588425 267055803200 278175454316 287084988440 295443624800 306171620320 308616362573 317601896660 323459830600 340542193184 347719317895 358856235550 375213403496 376741560176 382714525400 388808015840 395979294400 397002370825 425677741480 438071581600 459335981504 469016754370 470926950220 486010019800 508163034656 517535728960 532097176850 556350908632 574169976880 588658687775 590887249600 612343240640 617232725146 635203793320 646919661200 681084386368 682844077819 695438635790 717712471100 750426806992 753483120352 765429050800 777616031680 794004741650 851355482960 876143163200 938033508740 941853900440 972020039600 1016326069312 1064194353700 1112701817264 1148339953760 1172541885925 1177317375550 1234465450292 1270407586640 1293839322400 1365688155638 1390877271580 1435424942200 1500853613984 1506966240704 1530858101600 1543081812865 1588009483300 1702710965920 1738596589475 1876067017480 1883707800880 1944040079200 2016772043791 2128388707400 2225403634528 2296679907520 2345083771850 2354634751100 2468930900584 2540815173280 2587678644800 2731376311276 2781754543160 2870849884400 2990386133897 3001707227968 3061716203200 3086163625730 3176018966600 3405421931840 3414220389095 3477193178950 3752134034960 3767415601760 3888080158400 4033544087582 4256777414800 4450807269056 4690167543700 4709269502200 4937861801168 5081630346560 5462752622552 5563509086320 5741699768800 5980772267794 6172327251460 6352037933200 6828440778190 6954386357900 7504268069920 7534831203520 7715409064325 8067088175164 8513554829600 9380335087400 9418539004400 9875723602336 10083860218955 10925505245104 11127018172640 11483399537600 11961544535588 12344654502920 12704075866400 13656881556380 13908772715800 14951930669485 15008536139840 15430818128650 16134176350328 17027109659200 17071101945475 18760670174800 18837078008800 19751447204672 20167720437910 21851010490208 22254036345280 23923089071176 24689309005840 25408151732800 27313763112760 27817545431600 29903861338970 30861636257300 32268352700656 34142203890950 37521340349600 37674156017600 40335440875820 43702020980416 47846178142352 49378618011680 50419301094775 54627526225520 55635090863200 59807722677940 61723272514600 64536705401312 68284407781900 74759653347425 75042680699200 80670881751640 86721197883013 95692356284704 98757236023360 100838602189550 109255052451040 111270181726400 119615445355880 123446545029200 129073410802624 136568815563800 149519306694850 161341763503280 173442395766026 191384712569408 201677204379100 218510104902080 239230890711760 246893090058400 273137631127600 299038613389700 322683527006560 346884791532052 403354408758200 433605989415065 478461781423520 493786180116800 546275262255200 598077226779400 645367054013120 693769583064104 806708817516400 867211978830130 956923562847040 1092550524510400 1196154453558800 1387539166128208 1613417635032800 1734423957660260 2168029947075325 2392308907117600 2775078332256416 3226835270065600 3468847915320520 4336059894150650 4784617814235200 5550156664512832 6937695830641040 8672119788301300 13875391661282080 17344239576602600 27750783322564160 34688479153205200 69376958306410400 138753916612820800
- Sum of all divisors σ(n): 365751623569305600
- Sum of proper divisors (its aliquot sum) s(n): 226997706956484800
- 138753916612820800 is an abundant number, because the sum of its proper divisors (226997706956484800) is greater than itself. Its abundance is 88243790343664000
Bases of 138753916612820800
- Binary: 1111011001111001111110011101101101110011010111111010000002
- Hexadecimal: 0x1ECF3F3B6E6BF40
- Base-36: 11Y85PBBB70G
Squares and roots of 138753916612820800
- 138753916612820800 squared (1387539166128208002) is 19252649375397627988054932912640000
- 138753916612820800 cubed (1387539166128208003) is 2671380506009798932804497866488300329710374912000000
-
The
square root of 138753916612820800 is 372496867.9235045595 -
The
cube root of 138753916612820800 is 517704.2738570315
Scales and comparisons
How big is 138753916612820800?- 138,753,916,612,820,800 seconds is equal to 4,411,945,354 years, 12 weeks, 4 days, 16 hours, 26 minutes, 40 seconds.
-
To count from 1 to 138,753,916,612,820,800 would take you about thirteen billion, two hundred thirty-five million, eight hundred thirty-six thousand and sixty-two 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 138753916612820800 cubic inches would be around 43142 feet tall.
Recreational maths with 138753916612820800
- 138753916612820800 backwards is 008028216619357831
- The number of decimal digits it has is: 18
- The sum of 138753916612820800's digits is 70
- More coming soon!
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The information we have on file for 138753916612820800 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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