137973096298125
137,973,096,298,125 is an odd composite number composed of five prime numbers multiplied together.
137973096298125 is an odd composite number. It is composed of five distinct prime numbers multiplied together. It has a total of seven hundred twenty divisors.
Prime factorization of 137973096298125:
32 × 54 × 115 × 173 × 31
(3 × 3 × 5 × 5 × 5 × 5 × 11 × 11 × 11 × 11 × 11 × 17 × 17 × 17 × 31)See below for interesting mathematical facts about the number 137973096298125 from the Numbermatics database.
Names of 137973096298125
- Cardinal: 137973096298125 can be written as One hundred thirty-seven trillion, nine hundred seventy-three billion, ninety-six million, two hundred ninety-eight thousand, one hundred twenty-five.
Scientific notation
- Scientific notation: 1.37973096298125 × 1014
Factors of 137973096298125
Divisors of 137973096298125
- Number of divisors d(n): 720
-
Complete list of divisors:
1 3 5 9 11 15 17 25 31 33 45 51 55 75 85 93 99 121 125 153 155 165 187 225 255 275 279 289 341 363 375 425 465 495 527 561 605 625 765 775 825 867 935 1023 1089 1125 1275 1331 1375 1395 1445 1581 1683 1705 1815 1875 2057 2125 2325 2475 2601 2635 2805 3025 3069 3179 3751 3825 3875 3993 4125 4335 4675 4743 4913 5115 5445 5625 5797 6171 6375 6655 6875 6975 7225 7905 8415 8525 8959 9075 9537 10285 10625 11253 11625 11979 12375 13005 13175 14025 14641 14739 15125 15345 15895 17391 18513 18755 19125 19375 19965 20625 21675 22627 23375 23715 24565 25575 26877 27225 28611 28985 30855 31875 33275 33759 34875 34969 36125 39525 41261 42075 42625 43923 44217 44795 45375 47685 51425 52173 54043 56265 58125 59895 61875 63767 65025 65875 67881 70125 73205 73695 75625 76725 79475 80631 86955 92565 93775 95625 98549 99825 104907 108375 113135 116875 118575 122825 123783 127875 131769 134385 136125 143055 144925 152303 154275 161051 162129 166375 168795 174375 174845 180625 191301 197625 203643 206305 210375 213125 219615 221085 223975 226875 238425 248897 257125 260865 270215 281325 295647 299475 314721 318835 325125 329375 339405 350625 366025 368475 371349 383625 384659 397375 403155 434775 453871 456909 462825 468875 483153 486387 492745 499125 524535 541875 565675 573903 592875 594473 614125 618915 639375 658845 671925 680625 701437 715275 724625 746691 761515 771375 805255 810645 831875 843975 874225 886941 956505 988125 1018215 1031525 1051875 1084039 1098075 1105425 1119875 1153977 1192125 1244485 1285625 1304325 1351075 1361613 1370727 1406625 1449459 1478235 1497375 1573605 1594175 1625625 1675333 1697025 1783419 1830125 1842375 1856745 1918125 1923295 1986875 2015775 2104311 2173875 2240073 2269355 2284545 2314125 2344375 2415765 2431935 2463725 2495625 2622675 2737867 2828375 2869515 2964375 2972365 3070625 3094575 3252117 3294225 3359625 3461931 3507185 3576375 3623125 3733455 3807575 3856875 4026275 4053225 4084839 4219875 4231249 4371125 4434705 4782525 4992581 5025999 5091075 5157625 5350257 5420195 5490375 5527125 5599375 5769885 5960625 6222425 6312933 6521625 6539203 6755375 6808065 6853635 7033125 7247295 7391175 7486875 7715807 7868025 7970875 8213601 8376665 8485125 8917095 9150625 9211875 9283725 9616475 9756351 10078875 10521555 10869375 11200365 11346775 11422725 11570625 11924429 12078825 12159675 12318625 12693747 13113375 13689335 14141875 14347575 14861825 14977743 15077997 15472875 16260585 16471125 16798125 17309655 17535925 17881875 18428663 18667275 19037875 19617609 20131375 20266125 20424195 21099375 21156245 21855625 22173525 23147421 23912625 24640803 24962905 25129995 25455375 25788125 26751285 27100975 27451875 27635625 28849425 31112125 31564665 32608125 32696015 33776875 34040325 34268175 35773287 36236475 36955875 38081241 38579035 39340125 39854375 41068005 41883325 42425625 44585475 44933229 46418625 46543739 48082375 48781755 50394375 52607775 55285989 56001825 56733875 57113625 58852827 59622145 60394125 60798375 61593125 63468735 65566875 68446675 69442263 71737875 71931233 74309125 74888715 75389985 77364375 81302925 82355625 84873877 86548275 87679625 92143315 93336375 95189375 98088045 100656875 101330625 102120975 105781225 107319861 110867625 115737105 119563125 123204015 124814525 125649975 127276875 131168719 133756425 135504875 139631217 144247125 155560625 157823325 163480075 165857967 170201625 171340875 178866435 181182375 184779375 190406205 192895175 196700625 202715293 205340025 209416625 215793699 222927375 224666145 232093125 232718695 240411875 243908775 254621631 263038875 276429945 280009125 283669375 285568125 294264135 298110725 301970625 303991875 317343675 342233375 347211315 358689375 359656165 371545625 374443575 376949925 393506157 406514625 418893651 424369385 432741375 438398125 460716575 466681875 490440225 510604875 528906125 536599305 554338125 578685525 608145879 616020075 624072625 628249875 647381097 655843595 668782125 677524375 698156085 721235625 763864893 789116625 791243563 817400375 829289835 851008125 856704375 894332175 905911875 952031025 964475875 1013576465 1026700125 1047083125 1078968495 1114636875 1123330725 1163593475 1180518471 1219543875 1273108155 1315194375 1382149725 1400045625 1442855909 1471320675 1490553625 1586718375 1711166875 1736056575 1798280825 1824437637 1872217875 1884749625 1967530785 2032573125 2094468255 2121846925 2163706875 2229868223 2303582875 2373730689 2452201125 2553024375 2644530625 2682996525 2893427625 3040729395 3080100375 3120363125 3141249375 3236905485 3279217975 3343910625 3490780425 3819324465 3945583125 3956217815 4087001875 4146449175 4328567727 4471660875 4760155125 4822379375 5067882325 5133500625 5394842475 5616653625 5817967375 5902592355 6097719375 6365540775 6689604669 6910748625 7121192067 7214279545 7356603375 7452768125 7933591875 8680282875 8991404125 9122188185 9361089375 9423748125 9837653925 10472341275 10609234625 11149341115 11517914375 11868653445 12261005625 12985703181 13414982625 14467138125 15203646975 15400501875 16184527425 16396089875 17453902125 19096622325 19781089075 20068814007 20732245875 21642838635 22358304375 23800775625 24528550453 25339411625 26974212375 28083268125 29089836875 29512961775 31827703875 33448023345 34553743125 35605960335 36071397725 36783016875 43401414375 44957020625 45610940925 49188269625 52361706375 53046173125 55746705575 59343267225 64928515905 67074913125 73585651359 76018234875 80922637125 81980449375 87269510625 95483111625 98905445375 100344070035 103661229375 108214193175 122642752265 126697058125 134871061875 147564808875 159138519375 167240116725 178029801675 180356988625 220756954077 228054704625 245941348125 261808531875 278733527875 296716336125 324642579525 367928256795 380091174375 404613185625 477415558125 494527226875 501720350175 541070965875 613213761325 737824044375 836200583625 890149008375 901784943125 1103784770385 1140273523125 1393667639375 1483581680625 1623212897625 1839641283975 2508601750875 2705354829375 3066068806625 4181002918125 4450745041875 5518923851925 8116064488125 9198206419875 12543008754375 15330344033125 27594619259625 45991032099375 137973096298125
- Sum of all divisors σ(n): 300448979550720
- Sum of proper divisors (its aliquot sum) s(n): 162475883252595
- 137973096298125 is an abundant number, because the sum of its proper divisors (162475883252595) is greater than itself. Its abundance is 24502786954470
Bases of 137973096298125
- Binary: 111110101111100010111010110010010110110100011012
- Hexadecimal: 0x7D7C5D64B68D
- Base-36: 1CWNYR6C99
Squares and roots of 137973096298125
- 137973096298125 squared (1379730962981252) is 19036575302091674578878515625
- 137973096298125 cubed (1379730962981253) is 2626535237342002629408445492493782470703125
-
The
square root of 137973096298125 is 11746194.9710587131 -
The
cube root of 137973096298125 is 51673.1341195149
Scales and comparisons
How big is 137973096298125?- 137,973,096,298,125 seconds is equal to 4,387,117 years, 35 weeks, 3 days, 18 hours, 48 minutes, 45 seconds.
-
To count from 1 to 137,973,096,298,125 would take you about ten million, nine hundred sixty-seven thousand, seven hundred ninety-four 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 137973096298125 cubic inches would be around 4306.1 feet tall.
Recreational maths with 137973096298125
- 137973096298125 backwards is 521892690379731
- The number of decimal digits it has is: 15
- The sum of 137973096298125's digits is 72
- More coming soon!
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