137938264172363281250
137,938,264,172,363,281,250 is an even composite number composed of five prime numbers multiplied together.
137938264172363281250 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, three hundred fifty divisors.
Prime factorization of 137938264172363281250:
2 × 514 × 134 × 172 × 372
(2 × 5 × 5 × 5 × 5 × 5 × 5 × 5 × 5 × 5 × 5 × 5 × 5 × 5 × 5 × 13 × 13 × 13 × 13 × 17 × 17 × 37 × 37)See below for interesting mathematical facts about the number 137938264172363281250 from the Numbermatics database.
Names of 137938264172363281250
- Cardinal: 137938264172363281250 can be written as One hundred thirty-seven quintillion, nine hundred thirty-eight quadrillion, two hundred sixty-four trillion, one hundred seventy-two billion, three hundred sixty-three million, two hundred eighty-one thousand, two hundred fifty.
Scientific notation
- Scientific notation: 1.3793826417236328125 × 1020
Factors of 137938264172363281250
Divisors of 137938264172363281250
- Number of divisors d(n): 1350
-
Complete list of divisors:
1 2 5 10 13 17 25 26 34 37 50 65 74 85 125 130 169 170 185 221 250 289 325 338 370 425 442 481 578 625 629 650 845 850 925 962 1105 1250 1258 1369 1445 1625 1690 1850 2125 2197 2210 2405 2738 2873 2890 3125 3145 3250 3757 4225 4250 4394 4625 4810 5525 5746 6250 6253 6290 6845 7225 7514 8125 8177 8450 9250 10625 10693 10985 11050 12025 12506 13690 14365 14450 15625 15725 16250 16354 17797 18785 21125 21250 21386 21970 23125 23273 24050 27625 28561 28730 31250 31265 31450 34225 35594 36125 37349 37570 40625 40885 42250 46250 46546 48841 53125 53465 54925 55250 57122 60125 62530 68450 71825 72250 74698 78125 78625 81250 81289 81770 88985 93925 97682 105625 106250 106301 106930 109850 115625 116365 120250 138125 139009 142805 143650 156250 156325 157250 162578 171125 177970 180625 186745 187850 203125 204425 211250 212602 231250 231361 232730 244205 265625 267325 274625 276250 278018 285610 300625 302549 312650 342250 359125 361250 373490 390625 393125 395641 406250 406445 408850 444925 462722 469625 485537 488410 528125 531250 531505 534650 549250 578125 581825 601250 605098 634933 690625 695045 714025 718250 781250 781625 786250 791282 812890 855625 889850 903125 933725 939250 971074 1015625 1022125 1056250 1056757 1063010 1156250 1156805 1163650 1221025 1269866 1328125 1336625 1373125 1381250 1381913 1390090 1428050 1503125 1512745 1563250 1711250 1795625 1806250 1807117 1867450 1953125 1965625 1978205 2031250 2032225 2044250 2113514 2224625 2313610 2348125 2427685 2442050 2640625 2656250 2657525 2673250 2746250 2763826 2890625 2909125 3006250 3007693 3025490 3174665 3453125 3475225 3570125 3591250 3614234 3906250 3908125 3931250 3933137 3956410 4064450 4278125 4449250 4515625 4668625 4696250 4855370 5078125 5110625 5143333 5281250 5283785 5315050 5781250 5784025 5818250 6015386 6105125 6349330 6640625 6683125 6865625 6906250 6909565 6950450 7140250 7515625 7563725 7816250 7866274 8254129 8556250 8978125 9031250 9035585 9337250 9765625 9828125 9891025 10156250 10161125 10221250 10286666 10567570 11123125 11568050 11740625 12138425 12210250 13203125 13281250 13287625 13366250 13731250 13819130 14453125 14545625 15031250 15038465 15127450 15873325 16508258 17265625 17376125 17850625 17956250 17964869 18071170 19531250 19540625 19656250 19665685 19782050 20322250 21390625 22246250 22578125 23343125 23481250 23492521 24276850 25390625 25553125 25716665 26406250 26418925 26575250 28906250 28920125 29091250 30076930 30525625 31746650 33203125 33415625 34328125 34531250 34547825 34752250 35701250 35929738 37578125 37818625 39081250 39100009 39331370 41270645 42781250 44890625 45156250 45177925 46686250 46985042 48828125 49140625 49455125 50781250 50805625 51106250 51130781 51433330 52837850 55615625 57840250 58703125 60692125 61051250 66015625 66406250 66438125 66831250 66863329 68656250 69095650 72265625 72728125 75156250 75192325 75637250 78200018 79366625 82541290 86328125 86880625 89253125 89781250 89824345 90355850 97656250 97703125 98281250 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6449932861328125 6491212431640625 6529621972656250 7343000488281250 7750646972656250 8434527587890625 8488508564453125 8771908691406250 8828048907031250 9545900634765625 9602385253906250 10075841064453125 11029766845703125 11470957519531250 12483100830078125 12556965332031250 12899865722656250 12982424863281250 14912244775390625 16324054931640625 16869055175781250 16977017128906250 18357501220703125 19091801269531250 20151682128906250 21929771728515625 22059533691406250 22070122267578125 24005963134765625 24966201660156250 28677393798828125 29824489550781250 31392413330078125 32456062158203125 32648109863281250 36715002441406250 42442542822265625 43859543457031250 44140244535156250 47729503173828125 48011926269531250 50379205322265625 57354787597656250 62415504150390625 62784826660156250 64912124316406250 74561223876953125 81620274658203125 84885085644531250 95459006347656250 100758410644531250 109648858642578125 110350611337890625 124831008300781250 143386968994140625 149122447753906250 162280310791015625 163240549316406250 212212714111328125 219297717285156250 220701222675781250 238647515869140625 286773937988281250 312077520751953125 324560621582031250 372806119384765625 408101373291015625 424425428222656250 477295031738281250 551753056689453125 624155041503906250 745612238769531250 811401553955078125 816202746582031250 1061063570556640625 1103506113378906250 1622803107910156250 1864030596923828125 2122127141113281250 2758765283447265625 3728061193847656250 4057007769775390625 5305317852783203125 5517530566894531250 8114015539550781250 10610635705566406250 13793826417236328125 27587652834472656250 68969132086181640625 137938264172363281250
- Sum of all divisors σ(n): 305899063306321514337
- Sum of proper divisors (its aliquot sum) s(n): 167960799133958233087
- 137938264172363281250 is an abundant number, because the sum of its proper divisors (167960799133958233087) is greater than itself. Its abundance is 30022534961594951837
Bases of 137938264172363281250
- Binary: 11101111010010001110010100001101111101111111011010001110011011000102
- Hexadecimal: 0x77A47286FBFB47362
- Base-36: T3ZNDRG08HSO2
Squares and roots of 137938264172363281250
- 137938264172363281250 squared (1379382641723632812502) is 19026964722884679615646600723266601562500
- 137938264172363281250 cubed (1379382641723632812503) is 2624546486343503850242879685176376369781792163848876953125000
-
The
square root of 137938264172363281250 is 11744712179.2048731861 -
The
cube root of 137938264172363281250 is 5166878.5357233047
Scales and comparisons
How big is 137938264172363281250?- 137,938,264,172,363,281,250 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 137,938,264,172,363,281,250 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 137938264172363281250 cubic inches would be around 430573.2 feet tall.
Recreational maths with 137938264172363281250
- 137938264172363281250 backwards is 052182363271462839731
- The number of decimal digits it has is: 21
- The sum of 137938264172363281250's digits is 83
- More coming soon!
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"Number 137938264172363281250 - Facts about the integer". Numbermatics.com. 2024. Web. 26 May 2024.
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Numbermatics. (2024). Number 137938264172363281250 - Facts about the integer. Retrieved 26 May 2024, from https://numbermatics.com/n/137938264172363281250/
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The information we have on file for 137938264172363281250 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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