138134901239480250
138,134,901,239,480,250 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138134901239480250 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1944 divisors.
138134901239480250 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, nine hundred forty-four divisors.
Prime factorization of 138134901239480250:
2 × 32 × 53 × 72 × 232 × 412 × 11872
(2 × 3 × 3 × 5 × 5 × 5 × 7 × 7 × 23 × 23 × 41 × 41 × 1187 × 1187)See below for interesting mathematical facts about the number 138134901239480250 from the Numbermatics database.
Names of 138134901239480250
- Cardinal: 138134901239480250 can be written as One hundred thirty-eight quadrillion, one hundred thirty-four trillion, nine hundred one billion, two hundred thirty-nine million, four hundred eighty thousand, two hundred fifty.
Scientific notation
- Scientific notation: 1.3813490123948025 × 1017
Factors of 138134901239480250
Divisors of 138134901239480250
- Number of divisors d(n): 1944
-
Complete list of divisors:
1 2 3 5 6 7 9 10 14 15 18 21 23 25 30 35 41 42 45 46 49 50 63 69 70 75 82 90 98 105 115 123 125 126 138 147 150 161 175 205 207 210 225 230 245 246 250 287 294 315 322 345 350 369 375 410 414 441 450 483 490 525 529 574 575 615 630 690 735 738 750 805 861 875 882 943 966 1025 1035 1050 1058 1125 1127 1150 1187 1225 1230 1435 1449 1470 1575 1587 1610 1681 1722 1725 1750 1845 1886 2009 2050 2070 2205 2250 2254 2374 2415 2450 2583 2625 2645 2829 2870 2875 2898 3075 3150 3174 3362 3381 3450 3561 3675 3690 3703 4018 4025 4305 4410 4715 4761 4830 5043 5125 5166 5175 5250 5290 5635 5658 5750 5935 6027 6125 6150 6601 6762 7122 7175 7245 7350 7406 7875 7935 8050 8309 8405 8487 8610 8625 9225 9430 9522 10045 10086 10143 10250 10350 10683 11025 11109 11270 11767 11870 12054 12075 12250 12915 13202 13225 14145 14350 14490 15129 15375 15750 15870 16618 16810 16905 16974 17250 17805 18081 18375 18450 18515 19803 20090 20125 20286 21366 21525 21689 22050 22218 23534 23575 23805 24150 24927 25215 25830 25875 25921 26450 27301 28175 28290 29675 30135 30258 30750 33005 33327 33810 35301 35610 35875 36162 36225 36750 37030 38663 39606 39675 40250 41545 42025 42435 43050 43378 46125 46207 47150 47610 48667 49854 50225 50430 50715 51750 51842 53415 54602 55125 55545 56350 58163 58835 59350 59409 60270 60375 64575 65067 66010 66125 66654 70602 70725 71750 72450 74781 75645 77326 77763 79350 81903 82369 83090 84050 84525 84870 89025 90405 92250 92414 92575 97334 99015 100450 101430 105903 106830 107625 108445 110250 111090 115989 116326 117670 117875 118818 119025 120750 124635 126075 129150 129605 130134 132250 136505 138621 140875 141450 146001 148375 149562 150675 151290 151823 155526 163806 164738 165025 166635 169050 174489 176505 178050 180810 181125 185150 191107 193315 195201 198030 198375 207725 210125 211806 212175 215250 216890 231035 231978 233289 235750 238050 243335 245709 247107 249270 251125 252150 253575 259210 267075 270641 273010 277242 277725 281750 290815 292002 294175 296750 297045 301350 303646 322875 325335 330050 333270 340669 347967 348978 353010 353625 362250 373905 378225 382214 386630 388815 390402 396750 409515 411845 415450 415863 420250 422625 424350 438003 445125 452025 455469 462070 462875 466578 486670 491418 494214 495075 502250 507150 523467 529515 534150 541282 542225 555450 573321 579945 581630 588350 594090 595125 623175 627923 630375 645750 648025 650670 681338 682525 693105 695934 707250 730005 741321 747810 753375 756450 759115 777630 811923 819030 823690 825125 831726 833175 845250 872445 876006 882525 889249 890250 904050 910938 925750 955535 966575 976005 990150 1022007 1038625 1046934 1059030 1060875 1062761 1084450 1119341 1146642 1155175 1159890 1166445 1190250 1216675 1228545 1235535 1246350 1255846 1260750 1267875 1296050 1335375 1337749 1353205 1365050 1366407 1386210 1388625 1408969 1454075 1460010 1470875 1482642 1485225 1506750 1518230 1623846 1626675 1650250 1666350 1703345 1719963 1739835 1744890 1765050 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2426244618 2430471525 2444300075 2465695750 2468146905 2518517250 2522994614 2599547805 2657315534 2682768375 2703208515 2742385450 2769140430 2801134350 2830618721 2888386450 2891257803 2916565830 2933160090 2938270125 3009935250 3106776645 3142671525 3166615689 3170180250 3175816126 3212508670 3218105375 3243850218 3267990075 3296595750 3402660135 3441973575 3451974050 3491857250 3525924150 3639366927 3698543625 3726723005 3784491921 3846028375 3861726450 3921588090 3985973301 4043741030 4050785875 4083192162 4113578175 4130368290 4262595750 4332579675 4399740135 4438252350 4472067606 4489530750 4497512138 4505347525 4615234050 4668557250 4736953778 4763724189 4818763005 4860943050 4888600150 4936293810 4944893625 5177961075 5199095610 5217412207 5237785875 5277692815 5365536750 5406417030 5446650125 5661237442 5671100225 5736622625 5782515606 5792589675 5876540250 6065611545 6213553290 6285343050 6307486535 6333231378 6436210750 6535980150 6643288835 6708101409 6746268207 6805320270 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365218854490 369438497050 381324779129 390625383498 391305915525 395826961125 396977015750 405481277250 414483455575 418527196605 424592808150 427827800974 454920865875 458386929615 465030218450 465492506283 469567098630 473061490125 474992353350 490274716023 497380146690 498246662625 505970115525 510399020250 517213895870 532907300025 544749684470 547828281735 550064315538 554157745575 559008450750 562189017250 567673788150 580276837805 585938075247 592119222250 595465523625 597895995150 636889212225 641741701461 651042305830 652176525875 657393938082 664989294690 696332205366 697545327675 707654680250 714558628350 722814450750 746070220035 762649558258 763978216025 775820843805 782611831050 791653922250 817124526705 828966911150 837054393210 838512676125 843283525875 888178833375 909841731750 913047136225 916773859230 923596242625 930985012566 946122980250 976563458745 980549432046 996493325250 1011940231050 1044498308049 1061482020375 1065814600050 1069569502435 1095656563470 1108315491150 1143974337387 1160553675610 1162575546125 1171876150494 1173917746575 1187480883375 1190931047250 1243450366725 1252924274281 1273778424450 1283483402922 1293034739675 1304353051750 1361874211175 1375160788845 1395090655350 1419184470375 1492140440070 1494739987875 1497397303409 1527956432050 1551641687610 1627605764575 1634249053410 1643484845205 1662473236725 1677025352250 1686567051750 1740830513415 1776357666750 1786396570875 1826094272450 1847192485250 1906623895645 1925225104383 1953126917490 1956529577625 2072417277875 2088996616098 2092635983025 2122964040750 2139139004870 2287948674774 2291934648075 2325151092250 2327462531415 2347835493150 2374961766750 2451373580115 2486900733450 2505848548562 2529850577625 2586069479350 2664536500125 2669273453903 2723748422350 2739141408675 2750321577690 2770788727875 2838368940750 2901384189025 2929690376235 2989479975750 2994794606818 3184446061125 3208708507305 3255211529150 3286969690410 3324946473450 3431923012161 3481661026830 3487726638375 3572793141750 3730351100175 3758772822843 3813247791290 3819891080125 3850450208766 3879104219025 3913059155250 4085622633525 4144834555750 4185271966050 4492191910227 4565235681125 4583869296150 4654925062830 4882817293725 4902747160230 5059701155250 5222491540245 5329073000250 5338546907806 5347847512175 5478282817350 5541577455750 5719871686935 5802768378050 5859380752470 5869588732875 6217251833625 6264621371405 6368892122250 6417417014610 6465173698375 6809371055875 6863846024322 6875803944225 6975453276750 7460702200350 7486986517045 7517545645686 7639782160250 7758208438050 8007820361709 8138028822875 8171245267050 8217424226025 8312366183625 8704152567075 8770469919967 8984383820454 9130471362250 9533119478225 9626125521915 9765634587450 10444983080490 10463179915125 10695695024350 11276318468529 11439743373870 11459673240375 11637312657075 11739177465750 12256867900575 12434503667250 12529242742810 12930347396750 13346367269515 13476575730681 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68758039442250 73242259405875 74869865170450 78934229279703 80078203617090 80217712682625 82174242260250 85798075304025 87041525670750 87704699199670 93969320571075 95331194782250 96261255219150 112304797755675 112763184685290 116373126570750 120117305425635 122568679005750 122786578879538 130562288506125 131557048799505 133463672695150 134765757306810 142996792173375 146484518811750 156615534285125 157868458559406 160435425365250 171596150608050 184179868319307 187174662926125 187938641142150 200195509042725 219261747999175 224609595511350 240234610851270 240653138047875 261124577012250 263114097599010 281907961713225 285993584346750 306966447198845 313231068570250 333659181737875 336914393267025 368359736638614 374349325852250 394671146398515 400391018085450 428990376520125 438523495998350 469846602855375 481306276095750 552539604957921 561523988778375 563815923426450 600586527128175 613932894397690 657785243997525 667318363475750 673828786534050 789342292797030 857980753040250 920899341596535 939693205710750 1000977545213625 1096308739995875 1105079209915842 1123047977556750 1201173054256350 1315570487995050 1409539808566125 1534832235994225 1684571966335125 1841798683193070 1973355731992575 2001955090427250 2192617479991750 2762698024789605 2819079617132250 3002932635640875 3069664471988450 3288926219987625 3369143932670250 3946711463985150 4604496707982675 5525396049579210 6005865271281750 6577852439975250 7674161179971125 9208993415965350 9866778659962875 13813490123948025 15348322359942250 19733557319925750 23022483539913375 27626980247896050 46044967079826750 69067450619740125 138134901239480250
- Sum of all divisors σ(n): 465952812387193404
- Sum of proper divisors (its aliquot sum) s(n): 327817911147713154
- 138134901239480250 is an abundant number, because the sum of its proper divisors (327817911147713154) is greater than itself. Its abundance is 189683009908232904
Bases of 138134901239480250
- Binary: 1111010101100000011110101111101110111011001111111101110102
- Hexadecimal: 0x1EAC0F5F7767FBA
- Base-36: 11S4QHKSIZEI
Squares and roots of 138134901239480250
- 138134901239480250 squared (1381349012394802502) is 19081250940440962307761290140062500
- 138134901239480250 cubed (1381349012394802503) is 2635786714183551970256874108833060274377202515625000
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The
square root of 138134901239480250 is 371665039.0331060583 -
The
cube root of 138134901239480250 is 516933.2574239085
Scales and comparisons
How big is 138134901239480250?- 138,134,901,239,480,250 seconds is equal to 4,392,262,580 years, 5 weeks, 5 days, 15 hours, 37 minutes, 30 seconds.
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To count from 1 to 138,134,901,239,480,250 would take you about thirteen billion, one hundred seventy-six million, seven hundred eighty-seven thousand, seven hundred forty 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 138134901239480250 cubic inches would be around 43077.8 feet tall.
Recreational maths with 138134901239480250
- 138134901239480250 backwards is 052084932109431831
- 138134901239480250 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138134901239480250's digits is 63
- More coming soon!
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The information we have on file for 138134901239480250 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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