345731996321978112

Names of 345731996321978112

• Cardinal: 345731996321978112 can be written as Three hundred forty-five quadrillion, seven hundred thirty-one trillion, nine hundred ninety-six billion, three hundred twenty-one million, nine hundred seventy-eight thousand, one hundred twelve.

Scientific notation

• Scientific notation: 3.45731996321978112 × 10¹⁷

Factors of 345731996321978112

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 88009657

Divisors of 345731996321978112

• Number of divisors d(n): 1152
• Complete list of divisors:
  1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 27 28 32 33 36 42 44 48 54 56 61 63 64 66 72 77 84 88 96 99 108 112 121 122 126 128 132 144 154 168 176 183 189 192 198 216 224 231 242 244 252 256 264 288 297 308 336 352 363 366 378 384 396 427 432 448 462 484 488 504 528 549 576 594 616 671 672 693 704 726 732 756 768 792 847 854 864 896 924 968 976 1008 1056 1089 1098 1152 1188 1232 1281 1331 1342 1344 1386 1408 1452 1464 1512 1584 1647 1694 1708 1728 1792 1848 1936 1952 2013 2016 2079 2112 2178 2196 2304 2376 2464 2541 2562 2662 2684 2688 2772 2816 2904 2928 3024 3168 3267 3294 3388 3416 3456 3696 3843 3872 3904 3993 4026 4032 4158 4224 4356 4392 4697 4752 4928 5082 5124 5324 5368 5376 5544 5808 5856 6039 6048 6336 6534 6588 6776 6832 6912 7381 7392 7623 7686 7744 7808 7986 8052 8064 8316 8448 8712 8784 9317 9394 9504 9856 10164 10248 10648 10736 11088 11529 11616 11712 11979 12078 12096 12672 13068 13176 13552 13664 14091 14762 14784 15246 15372 15488 15616 15972 16104 16128 16632 17424 17568 18117 18634 18788 19008 19712 20328 20496 21296 21472 22143 22176 22869 23058 23232 23424 23958 24156 24192 25344 26136 26352 27104 27328 27951 28182 29524 29568 30492 30744 30976 31944 32208 33264 34848 35136 35937 36234 37268 37576 38016 40656 40992 42273 42592 42944 44286 44352 45738 46116 46464 46848 47916 48312 48384 51667 52272 52704 54208 54656 55902 56364 59048 59136 60984 61488 63888 64416 66429 66528 69696 70272 71874 72468 74536 75152 76032 81191 81312 81984 83853 84546 85184 85888 88572 88704 91476 92232 92928 95832 96624 103334 104544 105408 108416 109312 111804 112728 118096 121968 122976 126819 127776 128832 132858 133056 139392 140544 143748 144936 149072 150304 155001 162382 162624 163968 167706 169092 170368 171776 177144 177408 182952 184464 191664 193248 199287 206668 209088 210816 216832 223608 225456 236192 243573 243936 245952 251559 253638 255552 257664 265716 266112 278784 287496 289872 298144 300608 310002 324764 325248 327936 335412 338184 340736 354288 365904 368928 383328 386496 398574 413336 418176 421632 447216 450912 465003 472384 487146 487872 491904 503118 507276 511104 515328 531432 532224 568337 574992 579744 596288 601216 620004 649528 650496 670824 676368 708576 730719 731808 737856 766656 772992 797148 826672 836352 894432 901824 930006 944768 974292 975744 983808 1006236 1014552 1022208 1062864 1136674 1149984 1159488 1192576 1202432 1240008 1299056 1341648 1352736 1395009 1417152 1461438 1463616 1475712 1533312 1545984 1594296 1653344 1705011 1788864 1803648 1860012 1889536 1948584 1951488 2012472 2029104 2125728 2192157 2273348 2299968 2318976 2385152 2480016 2598112 2683296 2705472 2790018 2834304 2922876 2927232 2951424 3066624 3188592 3306688 3410022 3577728 3607296 3720024 3897168 4024944 4058208 4251456 4384314 4546696 4599936 4637952 4960032 5115033 5196224 5366592 5410944 5580036 5668608 5845752 5854464 6377184 6613376 6820044 7155456 7440048 7794336 8049888 8116416 8502912 8768628 9093392 9199872 9920064 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13641571824573 14291170482886 14312468799552 14430753665664 14759733449538 14881714717716 14994014932864 15117932411648 15590367799512 15613602326784 16101527399496 16234597873872 16868266799472 17007673963104 17539163774451 18188762432764 18401745599424 18553826141568 19083291732736 19679644599384 19842286290288 20787157066016 21436755724329 21468703199328 21646130498496 22139600174307 22322572076574 22491022399296 22676898617472 23385551699268 23420403490176 24535660799232 25302400199208 25511510944656 26239526132512 26456381720384 27283143649146 28582340965772 28624937599104 28861507331328 29519466899076 29763429435432 29988029865728 31180735599024 32203054798992 32469195747744 33736533598944 34015347926208 35078327548902 36377524865528 36803491198848 37107652283136 39359289198768 39684572580576 40924715473719 41574314132032 42873511448658 42937406398656 43292260996992 44279200348614 44645144153148 44982044798592 45353797234944 46771103398536 46840806980352 50019096690101 50604800398416 51023021889312 52479052265024 52912763440768 54566287298292 57164681931544 57249875198208 59038933798152 59526858870864 62361471198048 64310267172987 64406109597984 64938391495488 67473067197888 68030695852416 70156655097804 72755049731056 73606982397696 78718578397536 79369145161152 81849430947438 83148628264064 85747022897316 85874812797312 86584521993984 88558400697228 89290288306296 89964089597184 93542206797072 100038193380202 101209600796832 102046043778624 104958104530048 105825526881536 109132574596584 114329363863088 118077867596304 119053717741728 122774146421157 124722942396096 128620534345974 128812219195968 129876782990976 134946134395776 136061391704832 140313310195608 145510099462112 150057290070303 157437156795072 158738290322304 163698861894876 166297256528128 171494045794632 171749625594624 177116801394456 178580576612592 187084413594144 192930801518961 200076386760404 202419201593664 204092087557248 209916209060096 218265149193168 228658727726176 236155735192608 238107435483456 245548292842314 249445884792192 257241068691948 257624438391936 259753565981952 269892268791552 280626620391216 291020198924224 300114580140606 314874313590144 317476580644608 327397723789752 342988091589264 354233602788912 357161153225184 374168827188288 385861603037922 400152773520808 404838403187328 408184175114496 436530298386336 450171870210909 457317455452352 472311470385216 476214870966912 491096585684628 498891769584384 514482137383896 515248876783872 561253240782432 582040397848448 600229160281212 629748627180288 654795447579504 685976183178528 708467205577824 714322306450368 748337654376576 771723206075844 800305547041616 809676806374656 873060596772672 900343740421818 914634910904704 944622940770432 952429741933824 982193171369256 1028964274767792 1122506481564864 1164080795696896 1200458320562424 1309590895159008 1350515610632727 1371952366357056 1416934411155648 1428644612900736 1496675308753152 1543446412151688 1600611094083232 1746121193545344 1800687480843636 1829269821809408 1889245881540864 1964386342738512 2057928549535584 2245012963129728 2400916641124848 2619181790318016 2701031221265454 2743904732714112 2833868822311296 2857289225801472 3086892824303376 3201222188166464 3492242387090688 3601374961687272 3928772685477024 4115857099071168 4490025926259456 4801833282249696 5238363580636032 5402062442530908 5487809465428224 5667737644622592 6173785648606752 6402444376332928 7202749923374544 7857545370954048 8231714198142336 9603666564499392 10476727161272064 10804124885061816 12347571297213504 12804888752665856 14405499846749088 15715090741908096 16463428396284672 19207333128998784 21608249770123632 24695142594427008 28810999693498176 31430181483816192 38414666257997568 43216499540247264 49390285188854016 57621999386996352 86432999080494528 115243998773992704 172865998160989056 345731996321978112
• Sum of all divisors σ(n): 1306271836658288640
• Sum of proper divisors (its aliquot sum) s(n): 960539840336310528
• 345731996321978112 is an abundant number, because the sum of its proper divisors (960539840336310528) is greater than itself. Its abundance is 614807844014332416

Bases of 345731996321978112

• Binary: 10011001100010010010110101100111100010000100001011100000000₂
• Hexadecimal: 0x4CC496B3C421700
• Base-36: 2MK7RIH6HMO0

Squares and roots of 345731996321978112

• 345731996321978112 squared (345731996321978112²) is 119530613280780286763813008607084544
• 345731996321978112 cubed (345731996321978112³) is 41325557551154518170653214655523621570218655301500928
• The square root of 345731996321978112 is 587989792.7022016869
• The cube root of 345731996321978112 is 701853.5882961485

Scales and comparisons

• 345,731,996,321,978,112 seconds is equal to 10,993,208,063 years, 39 weeks, 3 days, 1 hour, 55 minutes, 12 seconds.
• To count from 1 to 345,731,996,321,978,112 would take you about thirty-two billion, nine hundred seventy-nine million, six hundred twenty-four thousand, one hundred ninety-one 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 345731996321978112 cubic inches would be around 58487.8 feet tall.

Recreational maths with 345731996321978112

• 345731996321978112 backwards is 211879123699137543
• The number of decimal digits it has is: 18
• The sum of 345731996321978112's digits is 81
• More coming soon!