137207936795842093400
137,207,936,795,842,093,400 is an even composite number composed of five prime numbers multiplied together.
What does the number 137207936795842093400 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 288 divisors.
137207936795842093400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 137207936795842093400:
23 × 52 × 17 × 1313 × 1339812
(2 × 2 × 2 × 5 × 5 × 17 × 131 × 131 × 131 × 133981 × 133981)See below for interesting mathematical facts about the number 137207936795842093400 from the Numbermatics database.
Names of 137207936795842093400
- Cardinal: 137207936795842093400 can be written as One hundred thirty-seven quintillion, two hundred seven quadrillion, nine hundred thirty-six trillion, seven hundred ninety-five billion, eight hundred forty-two million, ninety-three thousand, four hundred.
Scientific notation
- Scientific notation: 1.372079367958420934 × 1020
Factors of 137207936795842093400
Divisors of 137207936795842093400
- Number of divisors d(n): 288
-
Complete list of divisors:
1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 131 136 170 200 262 340 425 524 655 680 850 1048 1310 1700 2227 2620 3275 3400 4454 5240 6550 8908 11135 13100 17161 17816 22270 26200 34322 44540 55675 68644 85805 89080 111350 133981 137288 171610 222700 267962 291737 343220 429025 445400 535924 583474 669905 686440 858050 1071848 1166948 1339810 1458685 1716100 2248091 2277677 2333896 2679620 2917370 3349525 3432200 4496182 4555354 5359240 5834740 6699050 7293425 8992364 9110708 11240455 11388385 11669480 13398100 14586850 17551511 17984728 18221416 22480910 22776770 26796200 29173700 35103022 38217547 44961820 45553540 56202275 56941925 58347400 70206044 76435094 87757555 89923640 91107080 112404550 113883850 140412088 152870188 175515110 191087735 224809100 227767700 298375687 305740376 351030220 382175470 438787775 449618200 455535400 596751374 702060440 764350940 877575550 955438675 1193502748 1491878435 1528701880 1755151100 1910877350 2299247941 2387005496 2983756870 3510302200 3821754700 4598495882 5967513740 7459392175 7643509400 9196991764 11496239705 11935027480 14918784350 17950908361 18393983528 22992479410 29837568700 35901816722 39087214997 45984958820 57481198525 59675137400 71803633444 78174429994 89754541805 91969917640 114962397050 143607266888 156348859988 179509083610 195436074985 229924794100 301201480271 305165442137 312697719976 359018167220 390872149970 448772709025 459849588200 602402960542 610330884274 718036334440 781744299940 897545418050 977180374925 1204805921084 1220661768548 1506007401355 1525827210685 1563488599880 1795090836100 1954360749850 2351568995291 2409611842168 2441323537096 3012014802710 3051654421370 3590181672200 3908721499700 4703137990582 5120425164607 6024029605420 6103308842740 7530037006775 7629136053425 7817442999400 9406275981164 10240850329214 11757844976455 12048059210840 12206617685480 15060074013550 15258272106850 18812551962328 20481700658428 23515689952910 25602125823035 30120148027100 30516544213700 39976672919947 40963401316856 47031379905820 51204251646070 58789224882275 60240296054200 61033088427400 79953345839894 94062759811640 102408503292140 117578449764550 128010629115175 159906691679788 199883364599735 204817006584280 235156899529100 256021258230350 308055538383121 319813383359576 399766729199470 470313799058200 512042516460700 616111076766242 799533458398940 999416822998675 1024085032921400 1232222153532484 1540277691915605 1599066916797880 1998833645997350 2464444307064968 3080555383831210 3997667291994700 5236944152513057 6161110767662420 7701388459578025 7995334583989400 10473888305026114 12322221535324840 15402776919156050 20947776610052228 26184720762565285 30805553838312100 40355275528188851 41895553220104456 52369441525130570 61611107676624200 80710551056377702 104738883050261140 130923603812826425 161421102112755404 201776377640944255 209477766100522280 261847207625652850 322842204225510808 403552755281888510 523694415251305700 686039683979210467 807105510563777020 1008881888204721275 1047388830502611400 1372079367958420934 1614211021127554040 2017763776409442550 2744158735916841868 3430198419896052335 4035527552818885100 5488317471833683736 6860396839792104670 8071055105637770200 13720793679584209340 17150992099480261675 27441587359168418680 34301984198960523350 68603968397921046700 137207936795842093400
- Sum of all divisors σ(n): 340374454376884939440
- Sum of proper divisors (its aliquot sum) s(n): 203166517581042846040
- 137207936795842093400 is an abundant number, because the sum of its proper divisors (203166517581042846040) is greater than itself. Its abundance is 65958580785200752640
Bases of 137207936795842093400
- Binary: 11101110000001001001000001110001110100110000110101010100001010110002
- Hexadecimal: 0x77024838E986AA158
- Base-36: SYFWABAYXUIC8
Squares and roots of 137207936795842093400
- 137207936795842093400 squared (1372079367958420934002) is 18826017919771798668031082427294323560000
- 137207936795842093400 cubed (1372079367958420934003) is 2583079076853439597905195505944112495389639919927340504000000
-
The
square root of 137207936795842093400 is 11713579162.4866775133 -
The
cube root of 137207936795842093400 is 5157743.5499403555
Scales and comparisons
How big is 137207936795842093400?- 137,207,936,795,842,093,400 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 137,207,936,795,842,093,400 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 137207936795842093400 cubic inches would be around 429812 feet tall.
Recreational maths with 137207936795842093400
- 137207936795842093400 backwards is 004390248597639702731
- The number of decimal digits it has is: 21
- The sum of 137207936795842093400's digits is 89
- More coming soon!
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The information we have on file for 137207936795842093400 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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