13874399210374128

Names of 13874399210374128

• Cardinal: 13874399210374128 can be written as Thirteen quadrillion, eight hundred seventy-four trillion, three hundred ninety-nine billion, two hundred ten million, three hundred seventy-four thousand, one hundred twenty-eight.

Scientific notation

• Scientific notation: 1.3874399210374128 × 10¹⁶

Factors of 13874399210374128

• Number of distinct prime factors ω(n): 8
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 10543

Divisors of 13874399210374128

• Number of divisors d(n): 1280
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 19 23 24 27 36 37 38 46 48 54 57 69 72 74 76 79 92 108 111 114 138 144 148 152 158 171 184 207 216 222 228 237 276 296 304 316 333 342 368 414 432 437 444 456 474 513 552 592 621 632 666 684 703 711 828 851 874 888 912 948 999 1026 1104 1242 1264 1311 1332 1368 1406 1422 1501 1656 1702 1748 1776 1817 1896 1998 2052 2109 2133 2484 2553 2622 2664 2736 2812 2844 2923 3002 3312 3404 3496 3634 3792 3851 3933 3996 4104 4218 4266 4503 4968 5106 5244 5328 5451 5624 5688 5846 6004 6327 6529 6808 6992 7268 7659 7702 7866 7992 8208 8436 8532 8769 9006 9936 10212 10488 10902 11248 11376 11553 11692 11799 12008 12654 13058 13509 13616 14536 15318 15404 15732 15984 16169 16353 16872 17064 17538 18012 18981 19587 20424 20976 21804 22977 23106 23384 23598 24016 25308 26116 26307 27018 29072 30636 30808 31464 32338 32706 33744 34128 34523 34659 35076 36024 37962 39174 40527 40848 43608 45954 46212 46768 47196 48507 49059 50616 52232 52614 54036 55537 58761 61272 61616 62928 64676 65412 67229 69046 69318 70152 72048 73169 75924 78348 78921 81054 87216 88573 91908 92424 94392 97014 98118 101232 103569 103977 104464 105228 108072 111074 117522 122544 124051 129352 130824 134458 138092 138636 140304 142487 145521 146338 150167 151848 156696 157842 162108 166611 176283 177146 183816 184848 188784 194028 196236 201687 207138 207954 210456 216144 219507 222148 235044 241573 248102 258704 261648 265719 268916 276184 277272 284974 291042 292676 300334 303696 304229 310707 313392 315684 324216 333222 352566 354292 367632 372153 388056 392472 403374 414276 415908 420912 427461 436563 439014 444296 450501 470088 483146 496204 499833 515791 531438 537832 552368 554544 569948 582084 585352 600668 605061 608458 621414 631368 648432 658521 666444 705132 708584 724719 744306 776112 784944 797157 806748 828552 831816 854922 873126 878028 888592 901002 912687 932121 940176 966292 992408 999666 1031582 1062876 1075664 1116459 1139896 1164168 1170704 1201336 1210122 1216916 1242828 1262736 1277351 1282383 1317042 1332888 1351503 1410264 1417168 1449438 1488612 1499499 1547373 1594314 1613496 1657104 1663632 1682887 1709844 1746252 1756056 1802004 1815183 1825374 1864242 1932584 1975563 1984816 1999332 2063164 2125752 2174157 2232918 2279792 2328336 2391471 2402672 2420244 2433832 2485656 2554702 2564766 2634084 2665776 2703006 2707253 2738061 2820528 2853173 2898876 2977224 2998998 3094746 3188628 3226992 3277201 3349377 3365774 3419688 3492504 3512112 3604008 3630366 3650748 3728484 3832053 3847149 3865168 3951126 3998664 4054509 4126328 4251504 4348314 4465836 4589887 4642119 4782942 4840488 4867664 4971312 5048661 5109404 5129532 5268168 5406012 5414506 5476122 5556179 5706346 5780351 5797752 5954448 5997996 6189492 6377256 6522471 6554402 6698754 6731548 6839376 6985008 6997267 7208016 7260732 7301496 7456968 7664106 7694298 7902252 7997328 8109018 8121759 8214183 8252656 8559519 8696628 8931672 9179774 9284238 9565884 9680976 9800029 9831603 10097322 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868017968617 881922146604 900701065332 905757880296 954485361198 1018977615333 1027048575792 1062520999416 1096443749832 1155429647766 1175896195472 1186657476084 1200934753776 1219620183753 1233499218561 1272647148264 1322883219906 1358636820444 1396376732123 1540572863688 1582209968112 1626160245004 1644665624748 1690350780991 1736035937234 1763844293208 1801402130664 1811515760592 1908970722396 1984324829859 2037955230666 2125041998832 2192887499664 2310859295532 2373314952168 2439240367506 2466998437122 2545294296528 2604053905851 2645766439812 2717273640888 2792753464246 3081145727376 3252320490008 3289331249496 3380701561982 3472071874468 3527688586416 3602804261328 3658860551259 3817941444792 3968649659718 4075910461332 4189130196369 4621718591064 4746629904336 4878480735012 4933996874244 5071052342973 5208107811702 5291532879624 5434547281776 5585506928492 6504640980016 6578662498992 6761403123964 6944143748936 7317721102518 7635882889584 7812161717553 7937299319436 8151820922664 8378260392738 9243437182128 9756961470024 9867993748488 10142104685946 10416215623404 10583065759248 10976581653777 11171013856984 12567390589107 13522806247928 13888287497872 14635442205036 15213157028919 15624323435106 15874598638872 16303641845328 16756520785476 19513922940048 19735987496976 20284209371892 20832431246808 21953163307554 22342027713968 23436485152659 25134781178214 27045612495856 29270884410072 30426314057838 31248646870212 31749197277744 32116664838829 33513041570952 37702171767321 40568418743784 41664862493616 43906326615108 45639471086757 46872970305318 50269562356428 58541768820144 60852628115676 62497293740424 64233329677658 67026083141904 75404343534642 81136837487568 87812653230216 91278942173514 93745940610636 96349994516487 100539124712856 121705256231352 124994587480848 128466659355316 150808687069284 175625306460432 182557884347028 187491881221272 192699989032974 201078249425712 243410512462704 256933318710632 289049983549461 301617374138568 365115768694056 374983762442544 385399978065948 513866637421264 578099967098922 603234748277136 730231537388112 770799956131896 867149950648383 1156199934197844 1541599912263792 1734299901296766 2312399868395688 3468599802593532 4624799736791376 6937199605187064 13874399210374128
• Sum of all divisors σ(n): 45513052692480000
• Sum of proper divisors (its aliquot sum) s(n): 31638653482105872
• 13874399210374128 is an abundant number, because the sum of its proper divisors (31638653482105872) is greater than itself. Its abundance is 17764254271731744

Bases of 13874399210374128

• Binary: 110001010010101011000101001100011010000000001111110000₂
• Hexadecimal: 0x314AB14C6803F0
• Base-36: 3SM2B07HGC0

Squares and roots of 13874399210374128

• 13874399210374128 squared (13874399210374128²) is 192498953448830226555417731760384
• 13874399210374128 cubed (13874399210374128³) is 2670807327728296119200512753756989004044688945152
• The square root of 13874399210374128 is 117789639.6563557197
• The cube root of 13874399210374128 is 240291.3083683241

Scales and comparisons

• 13,874,399,210,374,128 seconds is equal to 441,162,978 years, 28 weeks, 6 days, 3 hours, 28 minutes, 48 seconds.
• To count from 1 to 13,874,399,210,374,128 would take you about one billion, three hundred twenty-three million, four hundred eighty-eight thousand, nine hundred thirty-five 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 13874399210374128 cubic inches would be around 20024.3 feet tall.

Recreational maths with 13874399210374128

• 13874399210374128 backwards is 82147301299347831
• 13874399210374128 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 13874399210374128's digits is 72
• More coming soon!