137037990444768

Names of 137037990444768

• Cardinal: 137037990444768 can be written as One hundred thirty-seven trillion, thirty-seven billion, nine hundred ninety million, four hundred forty-four thousand, seven hundred sixty-eight.

Scientific notation

• Scientific notation: 1.37037990444768 × 10¹⁴

Factors of 137037990444768

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 5942491

Divisors of 137037990444768

• Number of divisors d(n): 480
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 31 32 36 41 42 48 54 56 62 63 72 81 82 84 93 96 108 112 123 124 126 144 162 164 168 186 189 216 217 224 246 248 252 279 287 288 324 328 336 369 372 378 432 434 492 496 504 558 567 574 648 651 656 672 738 744 756 837 861 864 868 984 992 1008 1107 1116 1134 1148 1271 1296 1302 1312 1476 1488 1512 1674 1722 1736 1953 1968 2016 2214 2232 2268 2296 2511 2542 2583 2592 2604 2952 2976 3024 3321 3348 3444 3472 3813 3906 3936 4428 4464 4536 4592 5022 5084 5166 5208 5859 5904 6048 6642 6696 6888 6944 7626 7749 7812 8856 8897 8928 9072 9184 10044 10168 10332 10416 11439 11718 11808 13284 13392 13776 15252 15498 15624 17577 17712 17794 18144 20088 20336 20664 20832 22878 23247 23436 26568 26691 26784 27552 30504 30996 31248 34317 35154 35424 35588 40176 40672 41328 45756 46494 46872 53136 53382 61008 61992 62496 68634 70308 71176 80073 80352 82656 91512 92988 93744 102951 106272 106764 122016 123984 137268 140616 142352 160146 183024 185976 187488 205902 213528 240219 247968 274536 281232 284704 320292 366048 371952 411804 427056 480438 549072 562464 640584 720657 743904 823608 854112 960876 1098144 1281168 1441314 1647216 1921752 2562336 2882628 3294432 3843504 5765256 5942407 7687008 11530512 11884814 17827221 23061024 23769628 35654442 41596849 47539256 53481663 71308884 83193698 95078512 106963326 124790547 142617768 160444989 166387396 184214617 190157024 213926652 243638687 249581094 285235536 320889978 332774792 368429234 374371641 427853304 481334967 487277374 499162188 552643851 570471072 641779956 665549584 730916061 736858468 748743282 855706608 962669934 974554748 998324376 1105287702 1123114923 1283559912 1289502319 1331099168 1461832122 1473716936 1497486564 1657931553 1705470809 1711413216 1925339868 1949109496 1996648752 2192748183 2210575404 2246229846 2567119824 2579004638 2923664244 2947433872 2994973128 3315863106 3369344769 3410941618 3850679736 3868506957 3898218992 3993297504 4385496366 4421150808 4492459692 4973794659 5116412427 5134239648 5158009276 5847328488 5894867744 5989946256 6578244549 6631726212 6738689538 6821883236 7552799297 7701359472 7737013914 7796437984 8770992732 8842301616 8984919384 9947589318 10232824854 10316018552 11605520871 11694656976 11979892512 13156489098 13263452424 13477379076 13643766472 14921383977 15105598594 15349237281 15402718944 15474027828 17541985464 17684603232 17969838768 19734733647 19895178636 20465649708 20632037104 22658397891 23211041742 23389313952 26312978196 26526904848 26954758152 27287532944 29842767954 30211197188 30698474562 30948055656 34816562613 35083970928 35939677536 39469467294 39790357272 40931299416 41264074208 45316795782 46047711843 46422083484 52625956392 52869595079 53053809696 53909516304 54575065888 59685535908 60422394376 61396949124 61896111312 67975193673 69633125226 70167941856 78938934588 79580714544 81862598832 90633591564 92095423686 92844166968 104449687839 105251912784 105739190158 107819032608 119371071816 120844788752 122793898248 123792222624 135950387346 138143135529 139266250452 157877869176 158608785237 159161429088 163725197664 181267183128 184190847372 185688333936 203925581019 208899375678 210503825568 211478380316 238742143632 241689577504 245587796496 271900774692 276286271058 278532500904 315755738352 317217570474 362534366256 368381694744 371376667872 407851162038 417798751356 422956760632 475826355711 477484287264 491175592992 543801549384 552572542116 557065001808 611776743057 631511476704 634435140948 725068732512 736763389488 815702324076 835597502712 845913521264 951652711422 1087603098768 1105145084232 1114130003616 1223553486114 1268870281896 1427479067133 1473526778976 1631404648152 1671195005424 1691827042528 1903305422844 2175206197536 2210290168464 2447106972228 2537740563792 2854958134266 3262809296304 3342390010848 3806610845688 4282437201399 4420580336928 4894213944456 5075481127584 5709916268532 6525618592608 7613221691376 8564874402798 9788427888912 11419832537064 15226443382752 17129748805596 19576855777824 22839665074128 34259497611192 45679330148256 68518995222384 137037990444768
• Sum of all divisors σ(n): 487054591930368
• Sum of proper divisors (its aliquot sum) s(n): 350016601485600
• 137037990444768 is an abundant number, because the sum of its proper divisors (350016601485600) is greater than itself. Its abundance is 212978611040832

Bases of 137037990444768

• Binary: 11111001010001010100100101111011011111011100000₂
• Hexadecimal: 0x7CA2A4BDBEE0
• Base-36: 1CKQDTAM00

Squares and roots of 137037990444768

• 137037990444768 squared (137037990444768²) is 18779410825140325670458573824
• 137037990444768 cubed (137037990444768³) is 2573492721213952691701057702906092722552832
• The square root of 137037990444768 is 11706322.6695990231
• The cube root of 137037990444768 is 51556.1320223331

Scales and comparisons

• 137,037,990,444,768 seconds is equal to 4,357,384 years, 10 weeks, 6 days, 8 hours, 52 minutes, 48 seconds.
• To count from 1 to 137,037,990,444,768 would take you about ten million, eight hundred ninety-three thousand, four hundred sixty 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 137037990444768 cubic inches would be around 4296.3 feet tall.

Recreational maths with 137037990444768

• 137037990444768 backwards is 867444099730731
• 137037990444768 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 137037990444768's digits is 72
• More coming soon!