137593988064
137,593,988,064 is an even composite number composed of six prime numbers multiplied together.
137593988064 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 137593988064:
25 × 33 × 13 × 31 × 151 × 2617
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 13 × 31 × 151 × 2617)See below for interesting mathematical facts about the number 137593988064 from the Numbermatics database.
Names of 137593988064
- Cardinal: 137593988064 can be written as One hundred thirty-seven billion, five hundred ninety-three million, nine hundred eighty-eight thousand and sixty-four.
Scientific notation
- Scientific notation: 1.37593988064 × 1011
Factors of 137593988064
Divisors of 137593988064
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 27 31 32 36 39 48 52 54 62 72 78 93 96 104 108 117 124 144 151 156 186 208 216 234 248 279 288 302 312 351 372 403 416 432 453 468 496 558 604 624 702 744 806 837 864 906 936 992 1116 1208 1209 1248 1359 1404 1488 1612 1674 1812 1872 1963 2232 2416 2418 2617 2718 2808 2976 3224 3348 3624 3627 3744 3926 4077 4464 4681 4832 4836 5234 5436 5616 5889 6448 6696 7248 7254 7851 7852 8154 8928 9362 9672 10468 10872 10881 11232 11778 12896 13392 14043 14496 14508 15702 15704 16308 17667 18724 19344 20936 21744 21762 23553 23556 26784 28086 29016 31404 31408 32616 34021 35334 37448 38688 41872 42129 43488 43524 47106 47112 53001 56172 58032 60853 62808 62816 65232 68042 70659 70668 74896 81127 83744 84258 87048 94212 94224 102063 106002 112344 116064 121706 125616 126387 130464 136084 141318 141336 149792 162254 168516 174096 182559 188424 188448 204126 212004 224688 243381 243412 251232 252774 272168 282636 282672 306189 324508 337032 348192 365118 376848 395167 408252 424008 449376 486762 486824 505548 544336 547677 565272 565344 612378 649016 674064 730143 730236 753696 790334 816504 848016 918567 973524 973648 1011096 1054651 1088672 1095354 1130544 1185501 1224756 1298032 1348128 1460286 1460472 1580668 1633008 1643031 1696032 1837134 1947048 1947296 2022192 2109302 2190429 2190708 2261088 2371002 2449512 2596064 2920572 2920944 3161336 3163953 3266016 3286062 3556503 3674268 3894096 4044384 4218604 4380858 4381416 4742004 4899024 5137171 5841144 5841888 6322672 6327906 6572124 7113006 7348536 7788192 8437208 8761716 8762832 9484008 9491859 9798048 10274342 10669509 11682288 12250177 12645344 12655812 13144248 14226012 14697072 15411513 16874416 17523432 17525664 18968016 18983718 20548684 21339018 23364576 24500354 25311624 26288496 28452024 28475577 29394144 30823026 33748832 35046864 36750531 37936032 37967436 41097368 42678036 46234539 49000708 50623248 52576992 56904048 56951154 61646052 70093728 73501062 75934872 82194736 85356072 92469078 98001416 101246496 110251593 113808096 113902308 123292104 138703617 147002124 151869744 159252301 164389472 170712144 184938156 196002832 220503186 227804616 246584208 277407234 294004248 303739488 318504602 330754779 341424288 369876312 392005664 441006372 455609232 477756903 493168416 554814468 588008496 637009204 661509558 739752624 882012744 911218464 955513806 1109628936 1176016992 1274018408 1323019116 1433270709 1479505248 1764025488 1911027612 2219257872 2548036816 2646038232 2866541418 3528050976 3822055224 4299812127 4438515744 5096073632 5292076464 5733082836 7644110448 8599624254 10584152928 11466165672 15288220896 17199248508 22932331344 34398497016 45864662688 68796994032 137593988064
- Sum of all divisors σ(n): 449253826560
- Sum of proper divisors (its aliquot sum) s(n): 311659838496
- 137593988064 is an abundant number, because the sum of its proper divisors (311659838496) is greater than itself. Its abundance is 174065850432
Bases of 137593988064
- Binary: 100000000010010011110110100011111000002
- Hexadecimal: 0x20093DA3E0
- Base-36: 1R7JWOO0
Squares and roots of 137593988064
- 137593988064 squared (1375939880642) is 18932105551356174468096
- 137593988064 cubed (1375939880643) is 2604943905259689608775902572806144
-
The
square root of 137593988064 is 370936.6361846723 -
The
cube root of 137593988064 is 5162.5763337849
Scales and comparisons
How big is 137593988064?- 137,593,988,064 seconds is equal to 4,375 years, 3 weeks, 2 days, 14 minutes, 24 seconds.
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To count from 1 to 137,593,988,064 would take you about eight thousand, seven hundred fifty 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 137593988064 cubic inches would be around 430.2 feet tall.
Recreational maths with 137593988064
- 137593988064 backwards is 460889395731
- The number of decimal digits it has is: 12
- The sum of 137593988064's digits is 63
- More coming soon!
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