345973889093262144

Names of 345973889093262144

• Cardinal: 345973889093262144 can be written as Three hundred forty-five quadrillion, nine hundred seventy-three trillion, eight hundred eighty-nine billion, ninety-three million, two hundred sixty-two thousand, one hundred forty-four.

Scientific notation

• Scientific notation: 3.45973889093262144 × 10¹⁷

Factors of 345973889093262144

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 273090

Divisors of 345973889093262144

• Number of divisors d(n): 336
• Complete list of divisors:
  1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 64 66 78 88 96 104 132 143 156 169 176 192 208 264 286 312 338 352 416 429 507 528 572 624 676 704 832 858 1014 1056 1144 1248 1352 1716 1859 2028 2112 2197 2288 2496 2704 3432 3718 4056 4394 4576 5408 5577 6591 6864 7436 8112 8788 9152 10816 11154 13182 13728 14872 16224 17576 22308 24167 26364 27456 29744 32448 35152 44616 48334 52728 59488 70304 72501 89232 96668 105456 118976 140608 145002 178464 193336 210912 273061 290004 356928 386672 421824 546122 580008 773344 819183 1092244 1160016 1546688 1638366 2184488 2320032 3003671 3276732 3549793 4368976 4640064 6007342 6553464 7099586 8737952 9011013 10649379 12014684 13106928 14199172 17475904 18022026 21298758 24029368 26213856 28398344 36044052 39047723 42597516 46147309 48058736 52427712 56796688 72088104 78095446 85195032 92294618 96117472 113593376 117143169 138441927 144176208 156190892 170390064 184589236 192234944 227186752 234286338 276883854 288352416 312381784 340780128 369178472 468572676 507620399 553767708 576704832 599915017 624763568 681560256 738356944 937145352 1015240798 1107535416 1199830034 1249527136 1476713888 1522861197 1799745051 1874290704 2030481596 2215070832 2399660068 2499054272 2953427776 3045722394 3599490102 3748581408 4060963192 4430141664 4799320136 6091444788 6599065187 7198980204 7497162816 8121926384 8860283328 9598640272 12182889576 13198130374 14397960408 16243852768 19197280544 19797195561 24365779152 26396260748 28795920816 32487705536 38394561088 39594391122 48731558304 52792521496 57591841632 74562309721 79188782244 97463116608 105585042992 115183683264 149124619442 158377564488 211170085984 223686929163 298249238884 316755128976 422340171968 447373858326 596498477768 633510257952 820185406931 894747716652 969310026373 1192996955536 1267020515904 1640370813862 1789495433304 1938620052746 2385993911072 2460556220793 2907930079119 3280741627724 3578990866608 3877240105492 4771987822144 4921112441586 5815860158238 6561483255448 7157981733216 7754480210984 9842224883172 10662410290103 11631720316476 12601030342849 13122966510896 14315963466432 15508960421968 19684449766344 21324820580206 23263440632952 25202060685698 26245933021792 31017920843936 31987230870309 37803091028547 39368899532688 42649641160412 46526881265904 50404121371396 52491866043584 62035841687872 63974461740618 75606182057094 78737799065376 85299282320824 93053762531808 100808242742792 127948923481236 138611333771339 151212364114188 157475598130752 163813394457037 170598564641648 186107525063616 201616485485584 255897846962472 277222667542678 302424728228376 327626788914074 341197129283296 403232970971168 415834001314017 491440183371111 511795693924944 554445335085356 604849456456752 655253577828148 682394258566592 806465941942336 831668002628034 982880366742222 1023591387849888 1108890670170712 1209698912913504 1310507155656296 1663336005256068 1801947339027407 1965760733484444 2047182775699776 2217781340341424 2419397825827008 2621014311312592 3326672010512136 3603894678054814 3931521466968888 4435562680682848 5242028622625184 5405842017082221 6653344021024272 7207789356109628 7863042933937776 8871125361365696 10484057245250368 10811684034164442 13306688042048544 14415578712219256 15726085867875552 21623368068328884 26613376084097088 28831157424438512 31452171735751104 43246736136657768 57662314848877024 86493472273315536 115324629697754048 172986944546631072 345973889093262144
• Sum of all divisors σ(n): 1081789741055499840
• Sum of proper divisors (its aliquot sum) s(n): 735815851962237696
• 345973889093262144 is an abundant number, because the sum of its proper divisors (735815851962237696) is greater than itself. Its abundance is 389841962868975552

Bases of 345973889093262144

• Binary: 10011001101001001010110101101001000111101101101101101000000₂
• Hexadecimal: 0x4CD256B48F6DB40
• Base-36: 2MMLIAHD0XMO

Squares and roots of 345973889093262144

• 345973889093262144 squared (345973889093262144²) is 119697931934316854321013859503476736
• 345973889093262144 cubed (345973889093262144³) is 41412359027736180412248076404630872165955319853481984
• The square root of 345973889093262144 is 588195451.4387731509
• The cube root of 345973889093262144 is 702017.2350249307

Scales and comparisons

• 345,973,889,093,262,144 seconds is equal to 11,000,899,505 years, 34 weeks, 2 days, 21 hours, 42 minutes, 24 seconds.
• To count from 1 to 345,973,889,093,262,144 would take you about thirty-three billion, two million, six hundred ninety-eight thousand, five hundred sixteen 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 345973889093262144 cubic inches would be around 58501.4 feet tall.

Recreational maths with 345973889093262144

• 345973889093262144 backwards is 441262390988379543
• The number of decimal digits it has is: 18
• The sum of 345973889093262144's digits is 87
• More coming soon!