137297457763223121
137,297,457,763,223,121 is an odd composite number composed of six prime numbers multiplied together.
What does the number 137297457763223121 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1680 divisors.
137297457763223121 is an odd composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, six hundred eighty divisors.
Prime factorization of 137297457763223121:
36 × 72 × 13 × 193 × 23 × 374
(3 × 3 × 3 × 3 × 3 × 3 × 7 × 7 × 13 × 19 × 19 × 19 × 23 × 37 × 37 × 37 × 37)See below for interesting mathematical facts about the number 137297457763223121 from the Numbermatics database.
Names of 137297457763223121
- Cardinal: 137297457763223121 can be written as One hundred thirty-seven quadrillion, two hundred ninety-seven trillion, four hundred fifty-seven billion, seven hundred sixty-three million, two hundred twenty-three thousand, one hundred twenty-one.
Scientific notation
- Scientific notation: 1.37297457763223121 × 1017
Factors of 137297457763223121
Divisors of 137297457763223121
- Number of divisors d(n): 1680
-
Complete list of divisors:
1 3 7 9 13 19 21 23 27 37 39 49 57 63 69 81 91 111 117 133 147 161 171 189 207 243 247 259 273 299 333 351 361 399 437 441 481 483 513 567 621 637 703 729 741 777 819 851 897 931 999 1053 1083 1127 1197 1311 1323 1369 1443 1449 1539 1701 1729 1813 1863 1911 2093 2109 2223 2331 2457 2527 2553 2691 2793 2997 3059 3159 3249 3367 3381 3591 3933 3969 4107 4329 4347 4617 4693 4921 5103 5187 5439 5589 5681 5733 5957 6279 6327 6669 6859 6993 7371 7581 7659 8073 8303 8379 8991 9139 9177 9477 9583 9747 10101 10143 10773 11063 11799 11907 12103 12321 12987 13041 13357 13851 14079 14651 14763 15561 16169 16317 16767 17043 17199 17689 17797 17871 18837 18981 20007 20577 20979 21413 22113 22743 22977 23569 24219 24909 25137 26011 26973 27417 27531 28749 29241 30303 30429 31487 32319 32851 33189 34447 35397 35721 36309 36963 38961 39123 39767 40071 41699 42237 43953 44289 46683 48013 48507 48951 50653 51129 51597 53067 53391 53613 56511 56943 58121 60021 61731 62937 63973 64239 66339 67081 68229 68931 70707 72657 74727 75411 77441 78033 82251 82593 86247 87723 89167 90909 91287 93499 94461 96957 98553 99567 103341 106191 107939 108927 110889 113183 116883 117369 119301 120213 124579 125097 126711 131859 132867 140049 144039 145521 146853 151959 153387 154791 157757 159201 160173 160839 169533 170829 173641 174363 180063 182077 185193 188811 191919 192717 201243 204687 206793 210197 212121 217971 220409 224181 226233 229957 232323 234099 246753 247779 253783 258741 263169 267501 272727 273861 278369 280497 283383 295659 298701 307211 310023 318573 323817 326781 332667 336091 338143 339549 350649 354571 357903 360639 373737 375291 380133 395577 398601 406847 409331 420147 432117 436563 440559 447811 455877 460161 464373 473271 477603 480519 482517 494209 508599 512487 520923 523089 542087 546231 555579 575757 578151 598253 603729 614061 620379 624169 630591 636363 654493 658489 661227 672543 678699 689871 696969 702297 740259 743337 755573 761349 776223 792281 802503 818181 821583 835107 841491 850149 872053 886977 896103 921633 930069 962407 971451 980343 998001 1008273 1014429 1018647 1063713 1073709 1081917 1104299 1121211 1125873 1140399 1165019 1186731 1195803 1215487 1220541 1227993 1260441 1274539 1296351 1309689 1321677 1343433 1367631 1380483 1419813 1432809 1441557 1447551 1471379 1482627 1525797 1542863 1562769 1569267 1626261 1638693 1666737 1727271 1734453 1776481 1794759 1811187 1842183 1872507 1874161 1891773 1909089 1963479 1975467 1983681 2017629 2050841 2069613 2090907 2106891 2150477 2220777 2230011 2266719 2284047 2328669 2367001 2376843 2407509 2454543 2481997 2505321 2524473 2550447 2616159 2660931 2688309 2764899 2790207 2865317 2887221 2914353 2941029 3024819 3043287 3055941 3191139 3221127 3245751 3299179 3312897 3363633 3377619 3421197 3459463 3495057 3560193 3587409 3646461 3661623 3683979 3823617 3889053 3929067 3993743 4030299 4102893 4141449 4187771 4259439 4298427 4324671 4342653 4369183 4414137 4447881 4609423 4628589 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9912458144771 10279063993653 10528138774881 10571914819683 11143369674801 11344084752807 11530818658203 11636363909079 12410508701367 12744589043277 13536178424847 13592461911021 14086124732043 14327189581887 14487438826973 14961039311673 15023247375339 15270543628431 16385900198499 16535885555007 17006993405577 17926290346419 18110731798341 18626707063251 19633556093697 20017124619219 20587413069909 21700246208823 21866134378599 23048087588253 23948623367037 24167832734241 24565657141389 25243143549039 26469531089883 26905243535807 27900316554201 29255797520397 29737374434313 31584416324643 31715744459049 33430109024403 34592455974609 34909091727237 38233767129831 40608535274541 40777385733063 42258374196129 43462316480919 44883117935019 45811630885293 49157700595497 51020980216731 53778871039257 54332195395023 55880121189753 58900668281091 61762239209727 65100738626469 65598403135797 71845870101111 73696971424167 75729430647117 79408593269649 80715730607421 89212123302939 94753248973929 95147233377147 100290327073209 103777367923827 104727275181711 114701301389493 121825605823623 126775122588387 130386949442757 137434892655879 147473101786491 153062940650193 161336613117771 167640363569259 176702004843273 185286717629181 188336704750649 195302215879407 215537610303333 221090914272501 242147191822263 267636369908817 284259746921787 285441700131441 311332103771481 314181825545133 344103904168479 380325367765161 391160848328271 412304677967637 459188821950579 502921090707777 530106014529819 555860152887543 565010114251947 663272742817503 726441575466789 802909109726451 852779240765361 933996311314443 1032311712505437 1173482544984813 1236914033902911 1508763272123331 1695030342755841 1989818228452509 2179324726400367 2408727329179353 2801988933943329 3520447634954439 3710742101708733 5085091028267523 5969454685357527 6537974179201101 7226181987538059 10561342904863317 15255273084802569 19613922537603303 45765819254407707 137297457763223121
- Sum of all divisors σ(n): 291930166191565440
- Sum of proper divisors (its aliquot sum) s(n): 154632708428342319
- 137297457763223121 is an abundant number, because the sum of its proper divisors (154632708428342319) is greater than itself. Its abundance is 17335250665119198
Bases of 137297457763223121
- Binary: 1111001111100011101001111011101101000101010000110010100012
- Hexadecimal: 0x1E7C74F768A8651
- Base-36: 11JVVXCSWW29
Squares and roots of 137297457763223121
- 137297457763223121 squared (1372974577632231212) is 18850591908244036856316126428980641
- 137297457763223121 cubed (1372974577632231213) is 2588138346333891184693837985906155687287126672600561
-
The
square root of 137297457763223121 is 370536715.8099492857 -
The
cube root of 137297457763223121 is 515886.5024936383
Scales and comparisons
How big is 137297457763223121?- 137,297,457,763,223,121 seconds is equal to 4,365,634,467 years, 49 weeks, 2 days, 14 hours, 25 minutes, 21 seconds.
-
To count from 1 to 137,297,457,763,223,121 would take you about thirteen billion, ninety-six million, nine hundred three thousand, four hundred three 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 137297457763223121 cubic inches would be around 42990.5 feet tall.
Recreational maths with 137297457763223121
- 137297457763223121 backwards is 121322367754792731
- The number of decimal digits it has is: 18
- The sum of 137297457763223121's digits is 72
- More coming soon!
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MLA style:
"Number 137297457763223121 - Facts about the integer". Numbermatics.com. 2024. Web. 12 June 2024.
APA style:
Numbermatics. (2024). Number 137297457763223121 - Facts about the integer. Retrieved 12 June 2024, from https://numbermatics.com/n/137297457763223121/
Chicago style:
Numbermatics. 2024. "Number 137297457763223121 - Facts about the integer". https://numbermatics.com/n/137297457763223121/
The information we have on file for 137297457763223121 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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