137680316920215648
137,680,316,920,215,648 is an even composite number composed of four prime numbers multiplied together.
137680316920215648 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of six hundred forty-eight divisors.
Prime factorization of 137680316920215648:
25 × 35 × 312 × 1135
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 31 × 31 × 113 × 113 × 113 × 113 × 113)See below for interesting mathematical facts about the number 137680316920215648 from the Numbermatics database.
Names of 137680316920215648
- Cardinal: 137680316920215648 can be written as One hundred thirty-seven quadrillion, six hundred eighty trillion, three hundred sixteen billion, nine hundred twenty million, two hundred fifteen thousand, six hundred forty-eight.
Scientific notation
- Scientific notation: 1.37680316920215648 × 1017
Factors of 137680316920215648
Divisors of 137680316920215648
- Number of divisors d(n): 648
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 72 81 93 96 108 113 124 144 162 186 216 226 243 248 279 288 324 339 372 432 452 486 496 558 648 678 744 837 864 904 961 972 992 1017 1116 1296 1356 1488 1674 1808 1922 1944 2034 2232 2511 2592 2712 2883 2976 3051 3348 3503 3616 3844 3888 4068 4464 5022 5424 5766 6102 6696 7006 7533 7688 7776 8136 8649 8928 9153 10044 10509 10848 11532 12204 12769 13392 14012 15066 15376 16272 17298 18306 20088 21018 23064 24408 25538 25947 26784 27459 28024 30132 30752 31527 32544 34596 36612 38307 40176 42036 46128 48816 51076 51894 54918 56048 60264 63054 69192 73224 76614 77841 80352 84072 92256 94581 97632 102152 103788 108593 109836 112096 114921 120528 126108 138384 146448 153228 155682 168144 189162 204304 207576 217186 219672 229842 233523 241056 252216 276768 283743 292896 306456 311364 325779 336288 344763 378324 395839 408608 415152 434372 439344 459684 467046 504432 567486 612912 622728 651558 689526 756648 791678 830304 851229 868744 878688 919368 934092 977337 1008864 1034289 1134972 1187517 1225824 1245456 1303116 1379052 1442897 1513296 1583356 1702458 1737488 1838736 1868184 1954674 2068578 2269944 2375034 2490912 2606232 2758104 2885794 2932011 3026592 3102867 3166712 3404916 3474976 3562551 3677472 3736368 3909348 4137156 4328691 4539888 4750068 5212464 5516208 5771588 5864022 6205734 6333424 6809832 7125102 7472736 7818696 8274312 8657382 8796033 9079776 9500136 10424928 10687653 11032416 11543176 11728044 12271009 12411468 12666848 12986073 13619664 14250204 15637392 16548624 17314764 17592066 19000272 21375306 23086352 23456088 24542018 24822936 25972146 26388099 27239328 28500408 31274784 32062959 33097248 34629528 35184132 36813027 38000544 38958219 42750612 44729807 46172704 46912176 49084036 49645872 51944292 52776198 57000816 64125918 69259056 70368264 73626054 77916438 85501224 89459614 93824352 96188877 98168072 99291744 103888584 105552396 110439081 114001632 116874657 128251836 134189421 138518112 140736528 147252108 155832876 163047361 171002448 178919228 192377754 196336144 207777168 211104792 220878162 233749314 256503672 268378842 281473056 294504216 311665752 326094722 331317243 342004896 350623971 357838456 384755508 392672288 402568263 415554336 422209584 441756324 467498628 489142083 513007344 536757684 589008432 623331504 652189444 662634486 701247942 715676912 769511016 805136526 844419168 883512648 934997256 978284166 993951729 1026014688 1073515368 1178016864 1207704789 1246663008 1304378888 1325268972 1386624017 1402495884 1431353824 1467426249 1539022032 1610273052 1767025296 1869994512 1956568332 1987903458 2147030736 2415409578 2608757776 2650537944 2773248034 2804991768 2934852498 2981855187 3078044064 3220546104 3534050592 3623114367 3739989024 3913136664 3975806916 4159872051 4294061472 4402278747 4830819156 5054468191 5217515552 5301075888 5546496068 5609983536 5869704996 5963710374 6441092208 7246228734 7826273328 7951613832 8319744102 8804557494 9661638312 10108936382 10602151776 10869343101 11092992136 11219967072 11739409992 11927420748 12479616153 12882184416 13206836241 14492457468 15163404573 15652546656 15903227664 16639488204 17609114988 18424351793 19323276624 20217872764 21738686202 22185984272 23478819984 23854841496 24959232306 26413672482 28984914936 30326809146 31806455328 33278976408 35218229976 36848703586 37438848459 38646553248 39620508723 40435745528 43477372404 44371968544 45490213719 46957639968 47709682992 49918464612 52827344964 55273055379 57969829872 60653618292 66557952816 70436459952 73697407172 74877696918 79241017446 80871491056 86954744808 90980427438 95419365984 99836929224 105654689928 110546110758 112316545377 115939659744 121307236584 133115905632 136470641157 140872919904 147394814344 149755393836 156688513921 158482034892 161742982112 165819166137 173909489616 181960854876 199673858448 211309379856 221092221516 224633090754 242614473168 272941282314 294789628688 299510787672 313377027842 316964069784 331638332274 336949636131 347818979232 363921709752 399347716896 409411923471 422618759712 442184443032 449266181508 470065541763 485228946336 497457498411 545882564628 571154905583 589579257376 599021575344 626754055684 633928139568 663276664548 673899272262 727843419504 818823846942 884368886064 898532363016 940131083526 994914996822 1091765129256 1142309811166 1198043150688 1228235770413 1253508111368 1267856279136 1326553329096 1347798544524 1410196625289 1455686839008 1492372495233 1637647693884 1713464716749 1768737772128 1797064726032 1880262167052 1989829993644 2183530258512 2284619622332 2456471540826 2507016222736 2653106658192 2695597089048 2820393250578 2984744990466 3275295387768 3426929433498 3594129452064 3760524334104 3979659987288 4230589875867 4367060517024 4477117485699 4569239244664 4912943081652 5014032445472 5140394150247 5306213316384 5391194178096 5640786501156 5969489980932 6550590775536 6853858866996 7521048668208 7959319974576 8461179751734 8954234971398 9138478489328 9825886163304 10280788300494 10782388356192 11281573002312 11938979961864 12691769627601 13101181551072 13707717733992 15042097336416 15421182450741 15918639949152 16922359503468 17705802073073 17908469942796 18276956978656 19651772326608 20561576600988 22563146004624 23877959923728 25383539255202 27415435467984 30842364901482 33844719006936 35411604146146 35816939885592 38075308882803 39303544653216 41123153201976 45126292009248 46263547352223 47755919847456 50767078510404 53117406219219 54830870935968 61684729802964 67689438013872 70823208292292 71633879771184 76150617765606 82246306403952 92527094704446 101534157020808 106234812438438 123369459605928 135378876027744 138790642056669 141646416584584 143267759542368 152301235531212 159352218657657 164492612807904 185054189408892 203068314041616 212469624876876 246738919211856 277581284113338 283292833169168 304602471062424 318704437315314 370108378817784 406136628083232 424939249753752 478056655972971 493477838423712 555162568226676 566585666338336 609204942124848 637408874630628 740216757635568 849878499507504 956113311945942 1110325136453352 1218409884249696 1274817749261256 1434169967918913 1480433515271136 1699756999015008 1912226623891884 2220650272906704 2549635498522512 2868339935837826 3824453247783768 4302509903756739 4441300545813408 5099270997045024 5736679871675652 7648906495567536 8605019807513478 11473359743351304 15297812991135072 17210039615026956 22946719486702608 34420079230053912 45893438973405216 68840158460107824 137680316920215648
- Sum of all divisors σ(n): 423295663997062584
- Sum of proper divisors (its aliquot sum) s(n): 285615347076846936
- 137680316920215648 is an abundant number, because the sum of its proper divisors (285615347076846936) is greater than itself. Its abundance is 147935030156631288
Bases of 137680316920215648
- Binary: 1111010010010001110000100110011101001011110111000011000002
- Hexadecimal: 0x1E92384CE97B860
- Base-36: 11NNLKF9UU00
Squares and roots of 137680316920215648
- 137680316920215648 squared (1376803169202156482) is 18955869667251019256366374824059904
- 137680316920215648 cubed (1376803169202156483) is 2609850143285423071791548561208673719782834550177792
-
The
square root of 137680316920215648 is 371052983.9796678525 -
The
cube root of 137680316920215648 is 516365.5804721493
Scales and comparisons
How big is 137680316920215648?- 137,680,316,920,215,648 seconds is equal to 4,377,808,204 years, 45 weeks, 5 days, 13 hours, 40 minutes, 48 seconds.
-
To count from 1 to 137,680,316,920,215,648 would take you about thirteen billion, one hundred thirty-three million, four hundred twenty-four thousand, six hundred fourteen 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 137680316920215648 cubic inches would be around 43030.5 feet tall.
Recreational maths with 137680316920215648
- 137680316920215648 backwards is 846512029613086731
- 137680316920215648 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 137680316920215648's digits is 72
- More coming soon!
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"Number 137680316920215648 - Facts about the integer". Numbermatics.com. 2024. Web. 12 May 2024.
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Numbermatics. (2024). Number 137680316920215648 - Facts about the integer. Retrieved 12 May 2024, from https://numbermatics.com/n/137680316920215648/
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The information we have on file for 137680316920215648 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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