137842664624744625
137,842,664,624,744,625 is an odd composite number composed of seven prime numbers multiplied together.
What does the number 137842664624744625 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1944 divisors.
137842664624744625 is an odd composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, nine hundred forty-four divisors.
Prime factorization of 137842664624744625:
32 × 53 × 72 × 13 × 192 × 412 × 5632
(3 × 3 × 5 × 5 × 5 × 7 × 7 × 13 × 19 × 19 × 41 × 41 × 563 × 563)See below for interesting mathematical facts about the number 137842664624744625 from the Numbermatics database.
Names of 137842664624744625
- Cardinal: 137842664624744625 can be written as One hundred thirty-seven quadrillion, eight hundred forty-two trillion, six hundred sixty-four billion, six hundred twenty-four million, seven hundred forty-four thousand, six hundred twenty-five.
Scientific notation
- Scientific notation: 1.37842664624744625 × 1017
Factors of 137842664624744625
Divisors of 137842664624744625
- Number of divisors d(n): 1944
-
Complete list of divisors:
1 3 5 7 9 13 15 19 21 25 35 39 41 45 49 57 63 65 75 91 95 105 117 123 125 133 147 171 175 195 205 225 245 247 273 285 287 315 325 361 369 375 399 441 455 475 525 533 563 585 615 637 665 735 741 779 819 855 861 875 931 975 1025 1083 1125 1197 1225 1235 1365 1425 1435 1575 1599 1625 1681 1689 1729 1805 1845 1911 1995 2009 2205 2223 2275 2337 2375 2527 2583 2625 2665 2793 2815 2925 3075 3185 3249 3325 3675 3705 3731 3895 3941 4095 4275 4305 4655 4693 4797 4875 5043 5067 5125 5187 5415 5453 5733 5985 6027 6125 6175 6825 7011 7125 7175 7319 7581 7875 7995 8379 8405 8445 8645 9025 9225 9555 9975 10045 10127 10697 11025 11115 11193 11375 11685 11767 11823 12103 12635 12915 13325 13965 14075 14079 14625 14801 15129 15375 15561 15925 16245 16359 16625 17689 18081 18375 18525 18655 19475 19705 20475 21375 21525 21853 21957 22743 23083 23275 23465 23985 25215 25335 25935 26117 27075 27265 27587 28665 29925 30135 30381 30875 31939 32091 32851 33579 34125 35055 35301 35469 35875 36309 36595 37905 38171 39975 41895 42025 42225 42237 43225 44403 45125 46125 47775 49077 49875 50225 50635 51233 53067 53485 55125 55575 55965 58425 58835 59115 60515 63175 64575 65559 65871 66625 69249 69825 70375 70395 70889 74005 74879 75645 77805 78351 79625 81225 81795 82369 82761 88445 90405 91143 92625 93275 95817 96273 97375 98525 98553 102375 103607 105903 107625 108927 109265 109785 113715 114513 115415 116375 117325 119925 126075 126675 129675 130585 133209 135375 136325 137935 139061 143325 149625 150675 151905 152971 153699 159201 159695 160455 161581 164255 167895 175275 176505 177345 181545 182975 189525 190855 192413 196677 199875 203243 207747 209475 210125 211125 211185 212667 216125 222015 223573 224637 229957 235053 238875 245385 247107 248283 251125 253175 256165 265335 267425 277875 279825 287451 292125 294175 295575 295659 300079 302575 310821 315875 316969 322875 327795 329355 343539 346245 349125 351975 354445 358631 370025 374395 378225 389025 391755 406125 408975 411845 413805 415207 417183 438577 442225 452025 455715 458913 461097 466375 479085 481365 484743 492625 492765 496223 518035 524153 529515 544635 546325 548925 568575 572565 577075 577239 586625 599625 606841 609729 630375 633375 638001 648375 652925 666045 670719 673911 681625 689675 689871 695305 716625 725249 741321 753375 759525 764855 768495 796005 798475 802275 807905 821275 839475 876375 882525 886725 900237 907725 914875 932463 946403 947625 950907 954275 962065 973427 983385 1016215 1038735 1047375 1055925 1063335 1070797 1075893 1110075 1117865 1123185 1131067 1149785 1175265 1226925 1235535 1241415 1245621 1251549 1265875 1280825 1315731 1326675 1337125 1346891 1376739 1399125 1422701 1437255 1454229 1470875 1477875 1478295 1488669 1500395 1512875 1554105 1565011 1572459 1584845 1638975 1646775 1717695 1731225 1731717 1759875 1772225 1793155 1820523 1829187 1850125 1871975 1891125 1945125 1958775 2012157 2044875 2059225 2069025 2069613 2076035 2085915 2100553 2175747 2192885 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613624045125 616544326125 620870952975 637791392133 648161983875 652710489025 652895984013 656003162997 658038737915 663512178875 678216049875 689644350843 700858080125 716389561125 722237639175 727305973485 753341520015 759275466825 777257123825 780956146425 786436540435 821005179575 839199200175 853087087125 859073663175 863162056575 865840444625 896835142875 901103245875 907426777425 914834342955 921254233081 961748924645 991238842125 999330587775 1011132694845 1018228362879 1034784921625 1055578088025 1062985653555 1088159973355 1093338604995 1149407251405 1174878880245 1184469728247 1194321921975 1203729398625 1212176622475 1255569200025 1261544544225 1265459111375 1280768080137 1301593577375 1330437756375 1346448494503 1398665333625 1399062822885 1415585772783 1431789438625 1438603427625 1477809323235 1488179914977 1512377962375 1524723904925 1558512800325 1665550979625 1673477456625 1685221158075 1697047271465 1731148064361 1759296813375 1771642755925 1822231008325 1840872135375 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35389644319575 36945233080875 37204497874425 37508208061155 41456440488645 42426181786625 43278701609025 44826882804795 47125697307605 48967198800975 49352905343625 51723326313225 52511491285617 53365336672375 54547948011375 58039016684103 58982740532625 60590182252635 62007496457375 62513680101925 68612575721625 69094067481075 72131169348375 74711471341325 76367127215925 79723924016625 81611998001625 82000395374625 84826255153689 86205543855375 87519152142695 96057606010275 96731694473505 100983637087725 111613493623275 112524624183465 115156779135125 122526812999773 127278545359875 134480648414385 141377091922815 148058716030875 157534473856851 160096010017125 161219490789175 168306061812875 176948221597875 186022489372125 187541040305775 207282202443225 216393508045125 224134414023975 235628486538025 244835994004875 258616631566125 262557456428085 290195083420515 302950911263175 312568400509625 345470337405375 367580438999319 373557356706625 381835636079625 424131275768445 437595760713475 480288030051375 483658472367525 504918185438625 558067468116375 562623120917325 612634064998865 672403242071925 706885459614075 787672369284255 806097453945875 937705201528875 1036411012216125 1102741316997957 1120672070119875 1178142432690125 1312787282140425 1450975417102575 1514754556315875 1837902194996595 2120656378842225 2187978803567375 2418292361837625 2813115604586625 3063170324994325 3362016210359625 3534427298070375 3938361846421275 5513706584989785 6563936410702125 7254877085512875 9189510974982975 10603281894211125 15315851624971625 19691809232106375 27568532924948925 45947554874914875 137842664624744625
- Sum of all divisors σ(n): 337341647571449976
- Sum of proper divisors (its aliquot sum) s(n): 199498982946705351
- 137842664624744625 is an abundant number, because the sum of its proper divisors (199498982946705351) is greater than itself. Its abundance is 61656318321960726
Bases of 137842664624744625
- Binary: 1111010011011011100101100010100111101100111101000101100012
- Hexadecimal: 0x1E9B72C53D9E8B1
- Base-36: 11P959XHFTM9
Squares and roots of 137842664624744625
- 137842664624744625 squared (1378426646247446252) is 19000600190849823249667846466390625
- 137842664624744625 cubed (1378426646247446253) is 2619093359776170901670754329500290329827786119140625
-
The
square root of 137842664624744625 is 371271685.7299309661 -
The
cube root of 137842664624744625 is 516568.4606902513
Scales and comparisons
How big is 137842664624744625?- 137,842,664,624,744,625 seconds is equal to 4,382,970,359 years, 36 weeks, 6 days, 13 hours, 3 minutes, 45 seconds.
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To count from 1 to 137,842,664,624,744,625 would take you about thirteen billion, one hundred forty-eight million, nine hundred eleven thousand and seventy-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 137842664624744625 cubic inches would be around 43047.4 feet tall.
Recreational maths with 137842664624744625
- 137842664624744625 backwards is 526447426466248731
- The number of decimal digits it has is: 18
- The sum of 137842664624744625's digits is 81
- More coming soon!
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The information we have on file for 137842664624744625 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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