137046102361033216

Names of 137046102361033216

• Cardinal: 137046102361033216 can be written as One hundred thirty-seven quadrillion, forty-six trillion, one hundred two billion, three hundred sixty-one million, thirty-three thousand, two hundred sixteen.

Scientific notation

• Scientific notation: 1.37046102361033216 × 10¹⁷

Factors of 137046102361033216

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 20
• Sum of prime factors: 645

Divisors of 137046102361033216

• Number of divisors d(n): 400
• Complete list of divisors:
  1 2 4 8 13 16 26 32 43 52 64 86 104 128 169 172 208 256 338 344 416 512 559 587 676 688 832 1118 1174 1352 1376 1664 2197 2236 2348 2704 2752 3328 4394 4472 4696 5408 5504 6656 7267 7631 8788 8944 9392 10816 11008 14534 15262 17576 17888 18784 21632 22016 25241 28561 29068 30524 35152 35776 37568 43264 50482 57122 58136 61048 70304 71552 75136 86528 94471 99203 100964 114244 116272 122096 140608 143104 150272 188942 198406 201928 228488 232544 244192 281216 286208 300544 328133 371293 377884 396812 403856 456976 465088 488384 562432 656266 742586 755768 793624 807712 913952 930176 976768 1124864 1228123 1289639 1312532 1485172 1511536 1587248 1615424 1827904 1860352 1953536 2456246 2579278 2625064 2970344 3023072 3174496 3230848 3655808 3720704 3907072 4265729 4826809 4912492 5158556 5250128 5940688 6046144 6348992 6461696 7311616 8531458 9653618 9824984 10317112 10500256 11881376 12092288 12697984 12923392 14623232 15965599 16765307 17062916 19307236 19649968 20634224 21000512 23762752 24184576 25395968 31931198 33530614 34125832 38614472 39299936 41268448 42001024 47525504 48369152 50791936 55454477 62748517 63862396 67061228 68251664 77228944 78599872 82536896 84002048 95051008 110908954 125497034 127724792 134122456 136503328 154457888 157199744 165073792 168004096 190102016 207552787 217948991 221817908 250994068 255449584 268244912 273006656 308915776 314399488 330147584 415105574 435897982 443635816 501988136 510899168 536489824 546013312 617831552 628798976 660295168 720908201 815730721 830211148 871795964 887271632 1003976272 1021798336 1072979648 1092026624 1235663104 1441816402 1631461442 1660422296 1743591928 1774543264 2007952544 2043596672 2145959296 2184053248 2471326208 2698186231 2833336883 2883632804 3262922884 3320844592 3487183856 3549086528 4015905088 4087193344 4291918592 5396372462 5666673766 5767265608 6525845768 6641689184 6974367712 7098173056 8031810176 8174386688 8583837184 9371806613 10604499373 10792744924 11333347532 11534531216 13051691536 13283378368 13948735424 14196346112 16063620352 18743613226 21208998746 21585489848 22666695064 23069062432 26103383072 26566756736 27897470848 28392692224 32127240704 35076421003 36833379479 37487226452 42417997492 43170979696 45333390128 46138124864 52206766144 53133513472 55794941696 70152842006 73666758958 74974452904 84835994984 86341959392 90666780256 92276249728 104413532288 106267026944 111589883392 121833485969 140305684012 147333517916 149948905808 169671989968 172683918784 181333560512 184552499456 208827064576 243666971938 280611368024 294667035832 299897811616 339343979936 345367837568 362667121024 369104998912 417654129152 455993473039 478833933227 487333943876 561222736048 589334071664 599795623232 678687959872 690735675136 725334242048 911986946078 957667866454 974667887752 1122445472096 1178668143328 1199591246464 1357375919744 1381471350272 1450668484096 1583835317597 1823973892156 1915335732908 1949335775504 2244890944192 2357336286656 2399182492928 2714751839488 3167670635194 3647947784312 3830671465816 3898671551008 4489781888384 4714672573312 4798364985856 5429503678976 6224841131951 6335341270388 7295895568624 7661342931632 7797343102016 8979563776768 9429345146624 12449682263902 12670682540776 14591791137248 15322685863264 15594686204032 17959127553536 18858690293248 20589859128761 24899364527804 25341365081552 29183582274496 30645371726528 31189372408064 41179718257522 49798729055608 50682730163104 58367164548992 61290743453056 62378744816128 82359436515044 99597458111216 101365460326208 116734329097984 122581486906112 164718873030088 199194916222432 202730920652416 233468658195968 245162973812224 267668168673893 329437746060176 398389832444864 405461841304832 535336337347786 658875492120352 796779664889728 810923682609664 1070672674695572 1317750984240704 1593559329779456 2141345349391144 2635501968481408 3187118659558912 4282690698782288 5271003936962816 8565381397564576 10542007873925632 17130762795129152 34261525590258304 68523051180516608 137046102361033216
• Sum of all divisors σ(n): 304059035318046624
• Sum of proper divisors (its aliquot sum) s(n): 167012932957013408
• 137046102361033216 is an abundant number, because the sum of its proper divisors (167012932957013408) is greater than itself. Its abundance is 29966830595980192

Bases of 137046102361033216

• Binary: 111100110111000101011010000111001000101001100101000000000₂
• Hexadecimal: 0x1E6E2B43914CA00
• Base-36: 11HESEA09534

Squares and roots of 137046102361033216

• 137046102361033216 squared (137046102361033216²) is 18781634172350794020993047055302656
• 137046102361033216 cubed (137046102361033216³) is 2573949759291466284161308713584498727062159749021696
• The square root of 137046102361033216 is 370197382.9743171159
• The cube root of 137046102361033216 is 515571.4928470629

Scales and comparisons

• 137,046,102,361,033,216 seconds is equal to 4,357,642,143 years, 33 weeks, 6 days, 17 hours, 40 minutes, 16 seconds.
• To count from 1 to 137,046,102,361,033,216 would take you about thirteen billion, seventy-two million, nine hundred twenty-six thousand, four hundred thirty 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 137046102361033216 cubic inches would be around 42964.3 feet tall.

Recreational maths with 137046102361033216

• 137046102361033216 backwards is 612330163201640731
• The number of decimal digits it has is: 18
• The sum of 137046102361033216's digits is 49
• More coming soon!