137904467760972
137,904,467,760,972 is an even composite number composed of five prime numbers multiplied together.
What does the number 137904467760972 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 324 divisors.
137904467760972 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred twenty-four divisors.
Prime factorization of 137904467760972:
22 × 33 × 112 × 432 × 23892
(2 × 2 × 3 × 3 × 3 × 11 × 11 × 43 × 43 × 2389 × 2389)See below for interesting mathematical facts about the number 137904467760972 from the Numbermatics database.
Names of 137904467760972
- Cardinal: 137904467760972 can be written as One hundred thirty-seven trillion, nine hundred four billion, four hundred sixty-seven million, seven hundred sixty thousand, nine hundred seventy-two.
Scientific notation
- Scientific notation: 1.37904467760972 × 1014
Factors of 137904467760972
Divisors of 137904467760972
- Number of divisors d(n): 324
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Complete list of divisors:
1 2 3 4 6 9 11 12 18 22 27 33 36 43 44 54 66 86 99 108 121 129 132 172 198 242 258 297 363 387 396 473 484 516 594 726 774 946 1089 1161 1188 1419 1452 1548 1849 1892 2178 2322 2389 2838 3267 3698 4257 4356 4644 4778 5203 5547 5676 6534 7167 7396 8514 9556 10406 11094 12771 13068 14334 15609 16641 17028 20339 20812 21501 22188 25542 26279 28668 31218 33282 40678 43002 46827 49923 51084 52558 61017 62436 64503 66564 78837 81356 86004 93654 99846 102727 105116 122034 129006 140481 157674 183051 187308 199692 205454 223729 236511 244068 258012 280962 289069 308181 315348 366102 410908 447458 473022 549153 561924 578138 616362 671187 709533 732204 867207 894916 924543 946044 1098306 1129997 1156276 1232724 1342374 1419066 1734414 1849086 2013561 2196612 2259994 2601621 2684748 2773629 2838132 3389991 3468828 3698172 4027122 4417261 4519988 5203242 5547258 5707321 6040683 6779982 7804863 8054244 8834522 10169973 10406484 11094516 11414642 12081366 12429967 13251783 13559964 15609726 17121963 17669044 20339946 22829284 24162732 24859934 26503566 30509919 31219452 34243926 37289901 39755349 40679892 48589871 49719868 51365889 53007132 61019838 62780531 68487852 74579802 79510698 97179742 102731778 111869703 119266047 122039676 125561062 145769613 149159604 154097667 159021396 188341593 194359484 205463556 223739406 238532094 245414803 251122124 291539226 308195334 335609109 376683186 437308839 447478812 477064188 490829606 534488581 565024779 583078452 616390668 671218218 690585841 736244409 753366372 874617678 981659212 1068977162 1130049558 1311926517 1342436436 1381171682 1472488818 1603465743 1695074337 1749235356 2071757523 2137954324 2208733227 2260099116 2623853034 2699562833 2762343364 2944977636 3206931486 3390148674 4143515046 4417466454 4810397229 5247706068 5399125666 6215272569 6413862972 6626199681 6780297348 8098688499 8287030092 8834932908 9620794458 10552836529 10798251332 12430545138 13252399362 14431191687 16197376998 18645817707 19241588916 21105673058 24296065497 24861090276 26504798724 28862383374 29695191163 31658509587 32394753996 37291635414 42211346116 48592130994 57724766748 59390382326 63317019174 72888196491 74583270828 89085573489 94975528761 97184261988 116081201819 118780764652 126634038348 145776392982 178171146978 189951057522 232162403638 267256720467 284926586283 291552785964 348243605457 356342293956 379902115044 464324807276 534513440934 569853172566 696487210914 801770161401 1044730816371 1069026881868 1139706345132 1276893220009 1392974421828 1603540322802 2089461632742 2553786440018 3134192449113 3207080645604 3830679660027 4178923265484 5107572880036 6268384898226 7661359320054 11492038980081 12536769796452 15322718640108 22984077960162 34476116940243 45968155920324 68952233880486 137904467760972
- Sum of all divisors σ(n): 402507904052520
- Sum of proper divisors (its aliquot sum) s(n): 264603436291548
- 137904467760972 is an abundant number, because the sum of its proper divisors (264603436291548) is greater than itself. Its abundance is 126698968530576
Bases of 137904467760972
- Binary: 111110101101100011000101101000001010111010011002
- Hexadecimal: 0x7D6C62D0574C
- Base-36: 1CVSFRIM30
Squares and roots of 137904467760972
- 137904467760972 squared (1379044677609722) is 19017642228436965702926384784
- 137904467760972 cubed (1379044677609723) is 2622617829581185240217478098761727009850048
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The
square root of 137904467760972 is 11743273.2984024519 -
The
cube root of 137904467760972 is 51664.5652032139
Scales and comparisons
How big is 137904467760972?- 137,904,467,760,972 seconds is equal to 4,384,935 years, 26 weeks, 3 days, 16 minutes, 12 seconds.
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To count from 1 to 137,904,467,760,972 would take you about ten million, nine hundred sixty-two thousand, three hundred thirty-eight 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 137904467760972 cubic inches would be around 4305.4 feet tall.
Recreational maths with 137904467760972
- 137904467760972 backwards is 279067764409731
- The number of decimal digits it has is: 15
- The sum of 137904467760972's digits is 72
- More coming soon!
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The information we have on file for 137904467760972 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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