137456507987968
137,456,507,987,968 is an even composite number composed of five prime numbers multiplied together.
137456507987968 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 137456507987968:
211 × 132 × 292 × 181 × 2609
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 13 × 13 × 29 × 29 × 181 × 2609)See below for interesting mathematical facts about the number 137456507987968 from the Numbermatics database.
Names of 137456507987968
- Cardinal: 137456507987968 can be written as One hundred thirty-seven trillion, four hundred fifty-six billion, five hundred seven million, nine hundred eighty-seven thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 1.37456507987968 × 1014
Factors of 137456507987968
Divisors of 137456507987968
- Number of divisors d(n): 432
-
Complete list of divisors:
1 2 4 8 13 16 26 29 32 52 58 64 104 116 128 169 181 208 232 256 338 362 377 416 464 512 676 724 754 832 841 928 1024 1352 1448 1508 1664 1682 1856 2048 2353 2609 2704 2896 3016 3328 3364 3712 4706 4901 5218 5249 5408 5792 6032 6656 6728 7424 9412 9802 10436 10498 10816 10933 11584 12064 13312 13456 14848 18824 19604 20872 20996 21632 21866 23168 24128 26624 26912 29696 30589 33917 37648 39208 41744 41992 43264 43732 46336 48256 53824 59392 61178 67834 68237 75296 75661 78416 83488 83984 86528 87464 92672 96512 107648 122356 135668 136474 142129 150592 151322 152221 156832 166976 167968 173056 174928 185344 193024 215296 244712 271336 272948 284258 301184 302644 304442 313664 333952 335936 346112 349856 370688 386048 430592 440921 472229 489424 542672 545896 568516 602368 605288 608884 627328 667904 671872 699712 772096 861184 881842 887081 944458 978848 983593 1085344 1091792 1137032 1204736 1210576 1217768 1254656 1335808 1343744 1399424 1722368 1763684 1774162 1888916 1957696 1967186 1978873 2170688 2183584 2194169 2274064 2409472 2421152 2435536 2509312 2671616 2687488 2798848 3527368 3548324 3777832 3915392 3934372 3957746 4341376 4367168 4388338 4548128 4818944 4842304 4871072 5018624 5343232 5374976 5597696 6138977 7054736 7096648 7555664 7830784 7868744 7915492 8682752 8734336 8776676 9096256 9684608 9742144 10037248 10749952 11195392 12277954 12786709 13694641 14109472 14193296 15111328 15661568 15737488 15830984 17365504 17468672 17553352 18192512 19369216 19484288 22390784 24555908 25573418 25725349 27389282 28218944 28386592 28524197 30222656 31323136 31474976 31661968 34731008 34937344 35106704 36385024 38738432 38968576 49111816 51146836 51450698 54778564 56437888 56773184 57048394 60445312 62646272 62949952 63323936 69462016 69874688 70213408 72770048 77476864 77937152 79806701 98223632 102293672 102901396 109557128 112875776 113546368 114096788 120890624 125899904 126647872 139749376 140426816 145540096 154953728 155874304 159613402 178030333 196447264 204587344 205802792 219114256 225751552 227092736 228193576 241781248 251799808 253295744 280853632 291080192 311748608 319226804 356060666 370814561 392894528 397144589 409174688 411605584 438228512 451503104 454185472 456387152 483562496 503599616 506591488 561707264 638453608 712121332 741629122 785789056 794289178 818349376 823211168 876457024 903006208 908370944 912774304 967124992 1007199232 1013182976 1123414528 1276907216 1424242664 1483258244 1571578112 1588578356 1636698752 1646422336 1752914048 1816741888 1825548608 2014398464 2026365952 2246829056 2314394329 2553814432 2848485328 2966516488 3143156224 3177156712 3273397504 3292844672 3505828096 3651097216 4052731904 4493658112 4628788658 5107628864 5162879657 5696970656 5933032976 6286312448 6354313424 6546795008 6585689344 7011656192 7302194432 9257577316 10215257728 10325759314 11393941312 11866065952 12572624896 12708626848 13093590016 13171378688 14023312384 14604388864 18515154632 20430515456 20651518628 22787882624 23732131904 25417253696 26187180032 26342757376 28046624768 29208777728 37030309264 40861030912 41303037256 45575765248 47464263808 50834507392 52685514752 58417555456 67117435541 74060618528 81722061824 82606074512 91151530496 94928527616 101669014784 134234871082 148121237056 163444123648 165212149024 182303060992 189857055232 203338029568 268469742164 296242474112 330424298048 364606121984 379714110464 406676059136 536939484328 592484948224 660848596096 759428220928 813352118272 1073878968656 1184969896448 1321697192192 2147757937312 2369939792896 2643394384384 4295515874624 4739879585792 5286788768768 8591031749248 10573577537536 17182063498496 34364126996992 68728253993984 137456507987968
- Sum of all divisors σ(n): 310052363411700
- Sum of proper divisors (its aliquot sum) s(n): 172595855423732
- 137456507987968 is an abundant number, because the sum of its proper divisors (172595855423732) is greater than itself. Its abundance is 35139347435764
Bases of 137456507987968
- Binary: 111110100000100000101100101010010101000000000002
- Hexadecimal: 0x7D041654A800
- Base-36: 1CQ2NBU134
Squares and roots of 137456507987968
- 137456507987968 squared (1374565079879682) is 18894291588246310591632769024
- 137456507987968 cubed (1374565079879683) is 2597143342626775581419474839371082715103232
-
The
square root of 137456507987968 is 11724184.7472635811 -
The
cube root of 137456507987968 is 51608.5632669219
Scales and comparisons
How big is 137456507987968?- 137,456,507,987,968 seconds is equal to 4,370,691 years, 40 weeks, 1 day, 9 hours, 59 minutes, 28 seconds.
-
To count from 1 to 137,456,507,987,968 would take you about ten million, nine hundred twenty-six thousand, seven hundred twenty-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 137456507987968 cubic inches would be around 4300.7 feet tall.
Recreational maths with 137456507987968
- 137456507987968 backwards is 869789705654731
- The number of decimal digits it has is: 15
- The sum of 137456507987968's digits is 85
- More coming soon!
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The information we have on file for 137456507987968 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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