138920662400800
138,920,662,400,800 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138920662400800 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 864 divisors.
138920662400800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 138920662400800:
25 × 52 × 72 × 53 × 67 × 311 × 3209
(2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 53 × 67 × 311 × 3209)See below for interesting mathematical facts about the number 138920662400800 from the Numbermatics database.
Names of 138920662400800
- Cardinal: 138920662400800 can be written as One hundred thirty-eight trillion, nine hundred twenty billion, six hundred sixty-two million, four hundred thousand, eight hundred.
Scientific notation
- Scientific notation: 1.389206624008 × 1014
Factors of 138920662400800
Divisors of 138920662400800
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 49 50 53 56 67 70 80 98 100 106 112 134 140 160 175 196 200 212 224 245 265 268 280 311 335 350 371 392 400 424 469 490 530 536 560 622 670 700 742 784 800 848 938 980 1060 1072 1120 1225 1244 1325 1340 1400 1484 1555 1568 1675 1696 1855 1876 1960 2120 2144 2177 2345 2450 2488 2597 2650 2680 2800 2968 3110 3209 3283 3350 3551 3710 3752 3920 4240 4354 4690 4900 4976 5194 5300 5360 5600 5936 6220 6418 6566 6700 7102 7420 7504 7775 7840 8480 8708 9275 9380 9800 9952 10388 10600 10720 10885 11725 11872 12440 12836 12985 13132 13400 14204 14840 15008 15239 15550 16045 16415 16483 17416 17755 18550 18760 19600 20776 20837 21200 21770 22463 23450 24857 24880 25672 25970 26264 26800 28408 29680 30478 31100 32090 32830 32966 34832 35510 37100 37520 39200 41552 41674 42400 43540 44926 46900 49714 49760 51344 51940 52528 53600 54425 56816 59360 60956 62200 64180 64925 65660 65932 69664 71020 74200 75040 76195 80225 82075 82415 83104 83348 87080 88775 89852 93800 99428 102688 103880 104185 105056 108850 112315 113632 115381 121912 124285 124400 128360 129850 131320 131864 142040 145859 148400 152390 157241 160450 164150 164830 166696 170077 173999 174160 177550 179704 187600 198856 207760 208370 215003 217700 224630 230762 243824 248570 248800 256720 259700 262640 263728 284080 291718 296800 304780 314482 320900 328300 329660 333392 340154 347998 348320 355100 359408 375200 380975 397712 412075 415520 416740 430006 435400 449260 461524 487648 497140 513440 519400 520925 525280 527456 561575 568160 576905 583436 609560 621425 628964 641800 656600 659320 666784 680308 695996 710200 718816 729295 761950 786205 795424 807667 824150 833480 850385 860012 869995 870800 898520 923048 994280 997999 1021013 1038800 1041850 1075015 1104361 1123150 1153810 1166872 1190539 1219120 1242850 1257928 1283600 1313200 1318640 1360616 1391992 1420400 1458590 1505021 1523900 1572410 1615334 1648300 1666960 1700770 1720024 1739990 1741600 1797040 1846096 1988560 1995998 2042026 2077600 2083700 2150030 2208722 2246300 2307620 2333744 2381078 2438240 2485700 2515856 2567200 2626400 2637280 2721232 2783984 2840800 2884525 2917180 3010042 3047800 3144820 3230668 3296600 3333920 3401540 3440048 3479980 3594080 3646475 3692192 3931025 3977120 3991996 4038335 4084052 4167400 4251925 4300060 4349975 4417444 4492600 4615240 4667488 4762156 4971400 4989995 5031712 5105065 5375075 5442464 5521805 5567968 5769050 5834360 5952695 6020084 6095600 6289640 6461336 6593200 6803080 6880096 6959960 6985993 7292950 7525105 7730527 7862050 7983992 8076670 8168104 8333773 8334800 8503850 8600120 8699950 8834888 8985200 9230480 9524312 9942800 9979990 10210130 10535147 10750150 11043610 11395159 11538100 11668720 11905390 12040168 12191200 12579280 12922672 13186400 13606160 13919920 13971986 14585900 15050210 15461054 15724100 15967984 16153340 16336208 16667546 16669600 17007700 17200240 17399900 17669776 17970400 18460960 19048624 19885600 19959980 20191675 20420260 21070294 21500300 22087220 22790318 23076200 23337440 23810780 24080336 24949975 25158560 25525325 25845344 27212320 27609025 27839840 27943972 29171800 29763475 30100420 30922108 31448200 31935968 32306680 32672416 33335092 34015400 34400480 34799800 34929965 35339552 37625525 38097248 38652635 39919960 40383350 40840520 41668865 42140588 43000600 44174440 45580636 46152400 47621560 48160672 48901951 49899950 51050650 52675735 52893947 54113689 55218050 55887944 56975795 58343600 59526950 60200840 61844216 62896400 64613360 66670184 66865933 68030800 69599600 69859930 75251050 77305270 79766113 79839920 80766700 81681040 83337730 84281176 86001200 88348880 91161272 92304800 95243120 97803902 99799900 102101300 105351470 105787894 108227378 110436100 111775888 113951590 116687200 119053900 120401680 123688432 125792800 129226720 133340368 133731866 136061600 139199200 139719860 150502100 154610540 159532226 159679840 161533400 163362080 166675460 168562352 172002400 174649825 176697760 182322544 190486240 193263175 195607804 199599800 204202600 208344325 210702940 211575788 216454756 220872200 223551776 227903180 238107800 240803360 244509755 247376864 263378675 264469735 266680736 267463732 270568445 279439720 284878975 301004200 309221080 319064452 323066800 333350920 334329665 337124704 349299650 364645088 370257629 386526350 391215608 398830565 399199600 408405200 416688650 421405880 423151576 432909512 441744400 455806360 468061531 476215600 489019510 526757350 528939470 534927464 541136890 558362791 558879440 569757950 602008400 618442160 638128904 646133600 666701840 668659330 698599300 740515258 773052700 782431216 797661130 798399200 816810400 833377300 842811760 846303152 865819024 883488800 911612720 936123062 952431200 978039020 1053514700 1057878940 1069854928 1082273780 1116725582 1117758880 1139515900 1204016800 1222548775 1236884320 1276257808 1322348675 1333403680 1337318660 1352842225 1397198600 1481030516 1546105400 1564862432 1595322260 1666754600 1671648325 1685623520 1692606304 1731638048 1823225440 1851288145 1872246124 1956078040 1994152825 2107029400 2115757880 2139709856 2164547560 2233451164 2279031800 2340307655 2445097550 2552515616 2591803403 2644697350 2674637320 2705684450 2791813955 2794397200 2962061032 3092210800 3190644520 3276430717 3333509200 3343296650 3543894449 3702576290 3744492248 3912156080 3988305650 4214058800 4231515760 4329095120 4466902328 4558063600 4680615310 4890195100 5183606806 5289394700 5349274640 5411368900 5583627910 5588794400 5924122064 6184421600 6381289040 6552861434 6667018400 6686593300 7087788898 7405152580 7488984496 7824312160 7976611300 8428117600 8463031520 8658190240 8933804656 9116127200 9256440725 9361230620 9780390200 10367213612 10578789400 10698549280 10822737800 11167255820 11701538275 11848244128 12762578080 12959017015 13105722868 13373186600 13959069775 14175577796 14810305160 14977968992 15953222600 16382153585 17719472245 17867609312 18512881450 18722461240 19560780400 20734427224 21157578800 21645475600 22334511640 23403076550 24807261143 25918034030 26211445736 26746373200 27918139550 28351155592 29620610320 31906445200 32764307170 35438944490 37025762900 37444922480 39121560800 41468854448 42315157600 43290951200 44669023280 46806153100 49614522286 51836068060 52422891472 53492746400 55836279100 56702311184 59241220640 63812890400 64795085075 65528614340 70877888980 74051525800 74889844960 81910767925 82937708896 88597361225 89338046560 93612306200 99229044572 103672136120 104845782944 111672558200 113404622368 124036305715 129590170150 131057228680 141755777960 148103051600 163821535850 173650828001 177194722450 187224612400 198458089144 207344272240 223345116400 248072611430 259180340300 262114457360 283511555920 296206103200 327643071700 347301656002 354389444900 374449224800 396916178288 414688544480 446690232800 496145222860 518360680600 524228914720 567023111840 620181528575 655286143400 694603312004 708778889800 793832356576 868254140005 992290445720 1036721361200 1240363057150 1310572286800 1389206624008 1417557779600 1736508280010 1984580891440 2073442722400 2480726114300 2621144573600 2778413248016 2835115559200 3473016560020 3969161782880 4341270700025 4961452228600 5556826496032 6946033120040 8682541400050 9922904457200 13892066240080 17365082800100 19845808914400 27784132480160 34730165600200 69460331200400 138920662400800
- Sum of all divisors σ(n): 409392043482240
- Sum of proper divisors (its aliquot sum) s(n): 270471381081440
- 138920662400800 is an abundant number, because the sum of its proper divisors (270471381081440) is greater than itself. Its abundance is 131550718680640
Bases of 138920662400800
- Binary: 111111001011000111111001011101111111111001000002
- Hexadecimal: 0x7E58FCBBFF20
- Base-36: 1D8R9RKGF4
Squares and roots of 138920662400800
- 138920662400800 squared (1389206624008002) is 19298950441877046819840640000
- 138920662400800 cubed (1389206624008003) is 2681022979025771203921576808695808512000000
-
The
square root of 138920662400800 is 11786460.9786313721 -
The
cube root of 138920662400800 is 51791.1572390193
Scales and comparisons
How big is 138920662400800?- 138,920,662,400,800 seconds is equal to 4,417,247 years, 18 weeks, 3 days, 1 hour, 6 minutes, 40 seconds.
-
To count from 1 to 138,920,662,400,800 would take you about eleven million, forty-three thousand, one hundred eighteen 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 138920662400800 cubic inches would be around 4315.9 feet tall.
Recreational maths with 138920662400800
- 138920662400800 backwards is 008004266029831
- 138920662400800 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138920662400800's digits is 49
- More coming soon!
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"Number 138920662400800 - Facts about the integer". Numbermatics.com. 2024. Web. 31 May 2024.
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Numbermatics. (2024). Number 138920662400800 - Facts about the integer. Retrieved 31 May 2024, from https://numbermatics.com/n/138920662400800/
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The information we have on file for 138920662400800 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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