137664022896225
137,664,022,896,225 is an odd composite number composed of seven prime numbers multiplied together.
What does the number 137664022896225 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 720 divisors.
137664022896225 is an odd composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred twenty divisors.
Prime factorization of 137664022896225:
34 × 52 × 72 × 19 × 73 × 941 × 1063
(3 × 3 × 3 × 3 × 5 × 5 × 7 × 7 × 19 × 73 × 941 × 1063)See below for interesting mathematical facts about the number 137664022896225 from the Numbermatics database.
Names of 137664022896225
- Cardinal: 137664022896225 can be written as One hundred thirty-seven trillion, six hundred sixty-four billion, twenty-two million, eight hundred ninety-six thousand, two hundred twenty-five.
Scientific notation
- Scientific notation: 1.37664022896225 × 1014
Factors of 137664022896225
Divisors of 137664022896225
- Number of divisors d(n): 720
-
Complete list of divisors:
1 3 5 7 9 15 19 21 25 27 35 45 49 57 63 73 75 81 95 105 133 135 147 171 175 189 219 225 245 285 315 365 399 405 441 475 511 513 525 567 657 665 675 735 855 931 941 945 1063 1095 1197 1225 1323 1387 1425 1533 1539 1575 1825 1971 1995 2025 2205 2555 2565 2793 2823 2835 3189 3285 3325 3577 3591 3675 3969 4161 4275 4599 4655 4705 4725 5315 5475 5913 5985 6587 6615 6935 7441 7665 7695 8379 8469 9567 9709 9855 9975 10731 10773 11025 12483 12775 12825 13797 13965 14115 14175 15945 16425 17879 17885 17955 19761 19845 20197 20805 22323 22995 23275 23525 25137 25407 26575 28701 29127 29565 29925 32193 32935 33075 34675 37205 37449 38325 38475 41391 41895 42345 46109 47835 48545 49275 52087 53637 53655 53865 59283 60591 62415 66969 67963 68693 68985 69825 70575 75411 76221 77599 79725 86103 87381 89395 89425 89775 96579 98805 99225 100985 104025 111615 112347 114975 125153 125685 127035 138327 141379 143505 145635 147825 156261 160911 160965 164675 177849 181773 186025 187245 200907 203889 206079 206955 209475 211725 230545 232797 239175 242725 260435 262143 268185 268275 269325 289737 296415 302955 312075 334845 339815 343465 344925 375459 377055 381105 387995 414981 424137 430515 436905 446975 468783 480851 482733 482895 494025 504925 533547 543193 545319 558075 561735 602721 611667 618237 625765 628425 635175 691635 698391 706895 717525 728175 781305 786429 804555 804825 876071 889245 908865 936225 989653 1000283 1004535 1019445 1030395 1034775 1126377 1152725 1163985 1244943 1272411 1302175 1305167 1310715 1340925 1406349 1442553 1448199 1448685 1474381 1482075 1514775 1629579 1635957 1674225 1699075 1717325 1835001 1854711 1877295 1885275 1905525 1939975 2074905 2095173 2120685 2152575 2184525 2343915 2404255 2413665 2414475 2628213 2667735 2715965 2726595 2808675 2968959 3000849 3013605 3058335 3091185 3128825 3365957 3379131 3458175 3491955 3534475 3734829 3802351 3817233 3906525 3915501 3932145 4022775 4219047 4327659 4380355 4423143 4446225 4544325 4888737 4948265 5001415 5022675 5097225 5151975 5505003 5564133 5631885 5819925 6224715 6285519 6362055 6525835 6553575 7001981 7031745 7212765 7240995 7243425 7371905 7884639 8147895 8179785 8906877 9002547 9136169 9175005 9273555 9386475 10097871 10137393 10320667 10374525 10475865 10603425 11407053 11451699 11719575 11746503 12021275 12068325 12982977 13141065 13269429 13338675 13579825 13632975 14666211 14844795 15004245 15068025 15291675 15455925 16829785 16895655 17459775 18674145 19005377 19011755 19086165 19577505 19660725 21005943 21095235 21638295 21901775 22115715 23653917 24443685 24741325 25007075 26720631 27007641 27408507 27525015 27820665 28159425 30293613 30962001 31123575 31427595 31810275 32629175 34221159 35009905 35158725 35239509 36063825 36204975 36859525 38948931 39423195 39808287 40739475 40898925 43998633 44534385 45012735 45680845 45875025 46367775 49013867 50489355 50686965 51603335 52379325 57016131 57035265 57258495 58732515 63017829 63953183 64914885 65705325 66347145 70961751 72244669 73020659 73331055 74223975 75021225 80161893 81022923 82225521 84148925 84478275 90880839 92886003 93370725 95026885 95058775 95430825 97887525 102663477 105029715 105476175 105718527 108191475 110578575 118269585 119424861 122218425 133037639 133603155 135038205 137042535 137625075 139103325 147041601 151468065 154810005 157137975 171048393 171105795 175049525 176197545 189053487 191859549 194744655 197115975 199041435 216734007 219061977 219993165 222671925 225063675 228404225 245069335 246676563 252446775 253434825 258016675 272642517 278658009 285080655 285176325 286292475 293662575 307990431 315089145 319765915 324574425 331735725 354808755 361223345 365103295 366655275 399112917 400809465 405114615 411127605 441124803 454404195 464430015 475134425 511144613 513145179 513317385 525148575 528592635 567160461 575578647 591347925 597124305 650202021 657185931 665188195 668015775 675191025 685212675 735208005 740029689 757340325 774050025 835974027 855241965 855528975 880987725 931263473 945267435 959297745 973723275 995207175 1083670035 1095309885 1099965825 1197338751 1225346675 1233382815 1323374409 1363212585 1387392521 1393290045 1425403275 1533433839 1539435537 1539952155 1575445725 1598829575 1726735941 1774043775 1806116725 1825516475 1950606063 1971557793 1995564585 2004047325 2025573075 2055638025 2205624015 2272020975 2322150075 2555723065 2565725895 2566586925 2642963175 2793790419 2835802305 2877893235 2985621525 3251010105 3285929655 3325940975 3578012291 3592016253 3676040025 3700148445 3970123227 4162177563 4179870135 4276209825 4600301517 4656317365 4726337175 4796488725 5180207823 5418350175 5476549425 5851818189 5914673379 5986693755 6166914075 6616872045 6816062925 6936962605 6966450225 7667169195 7697177685 7699760775 8381371257 8633679705 9711747647 9753030315 9857788965 9977822925 10734036873 10776048759 11028120075 12486532689 12778615325 12828629475 13800904551 13968952095 14179011525 14389466175 16255050525 16429648275 17890061455 17960081265 18500742225 19850616135 20810887815 20899350675 23001507585 23281586825 25144113771 25901039115 29135242941 29259090945 29573366895 29933468775 32202110619 33084360225 34684813025 37459598067 38335845975 38485888425 41402713653 41906856285 43168398525 48558738235 48765151575 49288944825 53670184365 53880243795 62432663445 67982233529 69004522755 69844760475 75432341313 87405728823 89450307275 89800406325 96606331857 99253080675 104054439075 112378794201 115007537925 125720568855 129505195575 145676214705 146295454725 147866834475 161010553095 187297990335 203946700587 207013568265 209534281425 242793691175 262217186469 268350921825 269401218975 289818995571 312163317225 339911167645 345022613775 377161706565 437028644115 483031659285 561893971005 611840101761 628602844275 728381073525 786651559407 805052765475 936489951675 1019733502935 1035067841325 1311085932345 1449094977855 1699555838225 1835520305283 1885808532825 2185143220575 2415158296425 2809469855025 3059200508805 3933257797035 5098667514675 5506560915849 6555429661725 7245474889275 9177601526415 15296002544025 19666288985175 27532804579245 45888007632075 137664022896225
- Sum of all divisors σ(n): 317158361815680
- Sum of proper divisors (its aliquot sum) s(n): 179494338919455
- 137664022896225 is an abundant number, because the sum of its proper divisors (179494338919455) is greater than itself. Its abundance is 41830316023230
Bases of 137664022896225
- Binary: 111110100110100011001110010111011011110011000012
- Hexadecimal: 0x7D34672EDE61
- Base-36: 1CSPZ8UP29
Squares and roots of 137664022896225
- 137664022896225 squared (1376640228962252) is 18951383199972361037119250625
- 137664022896225 cubed (1376640228962253) is 2608923650756128917601156605155714141390625
-
The
square root of 137664022896225 is 11733031.2748336693 -
The
cube root of 137664022896225 is 51634.5209598333
Scales and comparisons
How big is 137664022896225?- 137,664,022,896,225 seconds is equal to 4,377,290 years, 5 weeks, 3 days, 8 hours, 3 minutes, 45 seconds.
-
To count from 1 to 137,664,022,896,225 would take you about ten million, nine hundred forty-three thousand, two hundred twenty-five 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 137664022896225 cubic inches would be around 4302.9 feet tall.
Recreational maths with 137664022896225
- 137664022896225 backwards is 522698220466731
- 137664022896225 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 137664022896225's digits is 63
- More coming soon!
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The information we have on file for 137664022896225 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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