137137701449091728
137,137,701,449,091,728 is an even composite number composed of six prime numbers multiplied together.
What does the number 137137701449091728 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1680 divisors.
137137701449091728 is an even 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 137137701449091728:
24 × 76 × 112 × 19 × 29 × 1033
(2 × 2 × 2 × 2 × 7 × 7 × 7 × 7 × 7 × 7 × 11 × 11 × 19 × 29 × 103 × 103 × 103)See below for interesting mathematical facts about the number 137137701449091728 from the Numbermatics database.
Names of 137137701449091728
- Cardinal: 137137701449091728 can be written as One hundred thirty-seven quadrillion, one hundred thirty-seven trillion, seven hundred one billion, four hundred forty-nine million, ninety-one thousand, seven hundred twenty-eight.
Scientific notation
- Scientific notation: 1.37137701449091728 × 1017
Factors of 137137701449091728
Divisors of 137137701449091728
- Number of divisors d(n): 1680
-
Complete list of divisors:
1 2 4 7 8 11 14 16 19 22 28 29 38 44 49 56 58 76 77 88 98 103 112 116 121 133 152 154 176 196 203 206 209 232 242 266 304 308 319 343 392 406 412 418 464 484 532 539 551 616 638 686 721 784 812 824 836 847 931 968 1064 1078 1102 1133 1232 1276 1372 1421 1442 1463 1624 1648 1672 1694 1862 1936 1957 2128 2156 2204 2233 2266 2299 2401 2552 2744 2842 2884 2926 2987 3248 3344 3388 3509 3724 3773 3857 3914 4312 4408 4466 4532 4598 4802 5047 5104 5488 5684 5768 5852 5929 5974 6061 6517 6776 7018 7448 7546 7714 7828 7931 8624 8816 8932 9064 9196 9604 9947 10094 10241 10609 11368 11536 11704 11858 11948 12122 12463 13034 13552 13699 14036 14896 15092 15428 15631 15656 15862 16093 16807 17864 18128 18392 19208 19894 20188 20482 20909 21218 21527 22736 23408 23716 23896 24244 24563 24926 26068 26411 26999 27398 28072 30184 30856 31262 31312 31724 32186 32857 33614 35329 35728 36784 38416 39788 40376 40964 41503 41818 42427 42436 43054 45619 47432 47792 48488 49126 49852 52136 52822 53998 54796 55517 56144 56753 60368 61712 62524 63448 64372 65714 66671 67228 69629 70658 71687 74263 79576 80752 81928 83006 83636 84854 84872 86108 87241 91238 94864 95893 96976 98252 99704 104272 105644 107996 109417 109592 111034 112651 113506 116699 117649 125048 126896 128744 131428 133342 134456 139258 141316 143374 146363 148526 150689 159152 163856 166012 167272 169708 169744 171941 172216 174482 182476 184877 188993 191786 196504 199408 201571 211288 215992 218834 219184 222068 225302 227012 229999 233398 235298 236797 247303 250096 257488 262856 266684 268912 278516 282632 286748 290521 292726 296989 297052 301378 307661 319333 332024 334544 339416 343882 344432 348964 361427 364952 369754 377986 383572 388619 393008 397271 403142 422576 431984 437668 444136 450604 454024 459998 466697 466796 470596 473594 487403 494606 501809 519841 525712 533368 557032 565264 573496 581042 585452 593978 594104 602756 610687 615322 624283 638666 664048 671251 678832 687764 697928 722854 729904 739508 755972 765919 767144 777238 788557 794542 806284 816893 875336 888272 901208 908048 919996 933394 933592 941192 947188 974806 989212 1003618 1024541 1039682 1054823 1066736 1092727 1114064 1146992 1162084 1170904 1187956 1188208 1203587 1205512 1221374 1230644 1248566 1277332 1283689 1294139 1322951 1342502 1375528 1395856 1410997 1445708 1479016 1511944 1531838 1534288 1554476 1577114 1589084 1609993 1612568 1633786 1657579 1731121 1750672 1802416 1839992 1866788 1867184 1882384 1894376 1949612 1978424 2007236 2033647 2049082 2078923 2079364 2109646 2153627 2185454 2217281 2235331 2324168 2341808 2375912 2407174 2411024 2442748 2461288 2497132 2529989 2554664 2567378 2588278 2645902 2685004 2720333 2751056 2780897 2821994 2891416 2958032 3023888 3063676 3108952 3154228 3178168 3219986 3225136 3266879 3267572 3315158 3384271 3411821 3462242 3512663 3638887 3679984 3733576 3788752 3899224 3956848 4014472 4067294 4098164 4157846 4158728 4219292 4274809 4307254 4369981 4370908 4434562 4470662 4648336 4698757 4751824 4814348 4885496 4922576 4994264 5059978 5109328 5134756 5176556 5291804 5361433 5370008 5440666 5519899 5561794 5643988 5718251 5782832 5845559 6127352 6217904 6308456 6356336 6439972 6533758 6535144 6630316 6768542 6823642 6867113 6924484 7025326 7171787 7277774 7383761 7467152 7649089 7798448 8028944 8134588 8196328 8315692 8317456 8425109 8438584 8549618 8614508 8739962 8741816 8869124 8941324 8985823 9260657 9397514 9628696 9770992 9876979 9988528 10119956 10269512 10353112 10583608 10722866 10740016 10881332 11039798 11123588 11269951 11287976 11436502 11603053 11691118 12019997 12117847 12254704 12616912 12879944 13067516 13070288 13260632 13537084 13647284 13734226 13848968 14050652 14235529 14343574 14552461 14555548 14767522 15075389 15298178 15520967 16269176 16392656 16631384 16850218 16877168 17099236 17229016 17479924 17483632 17709923 17738248 17882648 17971646 18521314 18795028 19042331 19257392 19466279 19753958 20239912 20539024 20706224 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725623178896 741778054864 751538292428 785970480904 796312197758 797585808208 807908977337 808080358316 819848518874 826071015644 836940371113 861677524939 910071083152 923324545528 936969735856 956503281272 970432940708 984774314216 1019944825438 1028465910584 1043443569476 1065196835962 1080709411243 1096680486286 1165651229072 1175140330672 1208197817288 1217367812528 1235096469992 1251347739334 1253349127184 1269840563068 1298111596012 1315192011749 1375448341582 1395775164364 1414140627053 1430111702096 1445624277377 1503076584856 1571940961808 1592624395516 1615817954674 1616160716632 1639697037748 1652142031288 1673880742226 1698257646239 1723355049878 1846649091056 1913006562544 1940865881416 1969548628432 2039889650876 2056931821168 2086887138952 2130393671924 2161418822486 2193360972572 2222220985369 2271695293021 2416395634576 2442606537637 2470192939984 2502695478668 2539681126136 2596223192024 2630384023498 2750896683164 2791550328728 2828281254106 2869469816059 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161909919066224 164040312738148 166429249331422 168888794888044 174920537562617 190204856378768 199909185785848 214949375312056 222626138716058 248888750361328 254429872818352 257777634302804 283342358365892 295555391054077 328080625476296 332858498662844 337777589776088 349841075125234 399818371571696 429898750624112 445252277432116 451110860029907 515555268605608 566684716731784 591110782108154 656161250952592 665716997325688 675555179552176 699682150250468 779191485506203 890504554864232 902221720059814 1031110537211216 1133369433463568 1182221564216308 1224443762938319 1331433994651376 1399364300500936 1558382971012406 1781009109728464 1804443440119628 2364443128432616 2448887525876638 2798728601001872 3116765942024812 3608886880239256 4728886256865232 4897775051753276 6233531884049624 7217773760478512 8571106340568233 9795550103506552 12467063768099248 17142212681136466 19591100207013104 34284425362272932 68568850724545864 137137701449091728
- Sum of all divisors σ(n): 374669042761104000
- Sum of proper divisors (its aliquot sum) s(n): 237531341312012272
- 137137701449091728 is an abundant number, because the sum of its proper divisors (237531341312012272) is greater than itself. Its abundance is 100393639862920544
Bases of 137137701449091728
- Binary: 1111001110011011000000011010011000010111111001010100100002
- Hexadecimal: 0x1E736034C2FCA90
- Base-36: 11IB9ABG9K7K
Squares and roots of 137137701449091728
- 137137701449091728 squared (1371377014490917282) is 18806749158740215433758036158025984
- 137137701449091728 cubed (1371377014490917283) is 2579114351359272678591484521225222136117154223460352
-
The
square root of 137137701449091728 is 370321078.8614276653 -
The
cube root of 137137701449091728 is 515686.3334251115
Scales and comparisons
How big is 137137701449091728?- 137,137,701,449,091,728 seconds is equal to 4,360,554,711 years, 16 weeks, 4 days, 1 hour, 2 minutes, 8 seconds.
-
To count from 1 to 137,137,701,449,091,728 would take you about thirteen billion, eighty-one million, six hundred sixty-four thousand, one hundred thirty-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 137137701449091728 cubic inches would be around 42973.9 feet tall.
Recreational maths with 137137701449091728
- 137137701449091728 backwards is 827190944107731731
- The number of decimal digits it has is: 18
- The sum of 137137701449091728's digits is 74
- More coming soon!
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Cite this page
MLA style:
"Number 137137701449091728 - Facts about the integer". Numbermatics.com. 2024. Web. 23 May 2024.
APA style:
Numbermatics. (2024). Number 137137701449091728 - Facts about the integer. Retrieved 23 May 2024, from https://numbermatics.com/n/137137701449091728/
Chicago style:
Numbermatics. 2024. "Number 137137701449091728 - Facts about the integer". https://numbermatics.com/n/137137701449091728/
The information we have on file for 137137701449091728 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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