74148003493466112

Names of 74148003493466112

• Cardinal: 74148003493466112 can be written as Seventy-four quadrillion, one hundred forty-eight trillion, three billion, four hundred ninety-three million, four hundred sixty-six thousand, one hundred twelve.

Scientific notation

• Scientific notation: 7.4148003493466112 × 10¹⁶

Factors of 74148003493466112

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 5634154998

Divisors of 74148003493466112

• Number of divisors d(n): 416
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 27 28 32 34 36 42 48 51 54 56 63 64 68 72 84 96 102 108 112 119 126 128 136 144 153 168 189 192 204 216 224 238 252 256 272 288 306 336 357 378 384 408 432 448 459 476 504 512 544 576 612 672 714 756 768 816 864 896 918 952 1008 1024 1071 1088 1152 1224 1344 1428 1512 1536 1632 1728 1792 1836 1904 2016 2048 2142 2176 2304 2448 2688 2856 3024 3072 3213 3264 3456 3584 3672 3808 4032 4096 4284 4352 4608 4896 5376 5712 6048 6144 6426 6528 6912 7168 7344 7616 8064 8568 8704 9216 9792 10752 11424 12096 12288 12852 13056 13824 14336 14688 15232 16128 17136 17408 18432 19584 21504 22848 24192 25704 26112 27648 28672 29376 30464 32256 34272 34816 36864 39168 43008 45696 48384 51408 52224 55296 58752 60928 64512 68544 69632 78336 86016 91392 96768 102816 104448 110592 117504 121856 129024 137088 156672 182784 193536 205632 208896 235008 243712 258048 274176 313344 365568 387072 411264 470016 487424 548352 626688 731136 774144 822528 940032 1096704 1462272 1645056 1880064 2193408 3290112 4386816 6580224 13160448 5634154969 11268309938 16902464907 22536619876 33804929814 39439084783 45073239752 50707394721 67609859628 78878169566 90146479504 95780634473 101414789442 118317254349 135219719256 152122184163 157756339132 180292959008 191561268946 202829578884 236634508698 270439438512 287341903419 304244368326 315512678264 354951763047 360585918016 383122537892 405659157768 473269017396 540878877024 574683806838 608488736652 631025356528 670464441311 709903526094 721171836032 766245075784 811318315536 862025710257 946538034792 1064855289141 1081757754048 1149367613676 1216977473304 1262050713056 1340928882622 1419807052188 1442343672064 1532490151568 1622636631072 1724051420514 1893076069584 2011393323933 2129710578282 2163515508096 2298735227352 2433954946608 2524101426112 2586077130771 2681857765244 2839614104376 2884687344128 3064980303136 3245273262144 3448102841028 3786152139168 4022786647866 4259421156564 4327031016192 4597470454704 4867909893216 5048202852224 5172154261542 5363715530488 5679228208752 5769374688256 6034179971799 6129960606272 6490546524288 6896205682056 7572304278336 8045573295732 8518842313128 8654062032384 9194940909408 9735819786432 10096405704448 10344308523084 10727431060976 11358456417504 11538749376512 12068359943598 12259921212544 12981093048576 13792411364112 15144608556672 16091146591464 17037684626256 17308124064768 18102539915397 18389881818816 19471639572864 20192811408896 20688617046168 21454862121952 22716912835008 23077498753024 24136719887196 24519842425088 25962186097152 27584822728224 30289217113344 32182293182928 34075369252512 34616248129536 36205079830794 36779763637632 38943279145728 40385622817792 41377234092336 42909724243904 45433825670016 48273439774392 49039684850176 51924372194304 55169645456448 60578434226688 64364586365856 68150738505024 69232496259072 72410159661588 73559527275264 77886558291456 80771245635584 82754468184672 85819448487808 90867651340032 96546879548784 98079369700352 103848744388608 110339290912896 121156868453376 128729172731712 136301477010048 144820319323176 147119054550528 155773116582912 161542491271168 165508936369344 171638896975616 181735302680064 193093759097568 196158739400704 207697488777216 220678581825792 242313736906752 257458345463424 272602954020096 289640638646352 294238109101056 311546233165824 331017872738688 343277793951232 363470605360128 386187518195136 392317478801408 441357163651584 484627473813504 514916690926848 545205908040192 579281277292704 588476218202112 623092466331648 662035745477376 686555587902464 726941210720256 772375036390272 882714327303168 1029833381853696 1090411816080384 1158562554585408 1176952436404224 1324071490954752 1373111175804928 1453882421440512 1544750072780544 1765428654606336 2059666763707392 2180823632160768 2317125109170816 2648142981909504 2746222351609856 3089500145561088 3530857309212672 4119333527414784 4361647264321536 4634250218341632 5296285963819008 6179000291122176 8238667054829568 9268500436683264 10592571927638016 12358000582244352 18537000873366528 24716001164488704 37074001746733056 74148003493466112
• Sum of all divisors σ(n): 265820332949395200
• Sum of proper divisors (its aliquot sum) s(n): 191672329455929088
• 74148003493466112 is an abundant number, because the sum of its proper divisors (191672329455929088) is greater than itself. Its abundance is 117524325962462976

Bases of 74148003493466112

• Binary: 100000111011011010011011101100001000010000101000000000000₂
• Hexadecimal: 0x1076D3761085000
• Base-36: KA39UK3AIO0

Squares and roots of 74148003493466112

• 74148003493466112 squared (74148003493466112²) is 5497926422067062749457475692396544
• 74148003493466112 cubed (74148003493466112³) is 407660267550248210507465614247056660963062529916928
• The square root of 74148003493466112 is 272301310.1207302527
• The cube root of 74148003493466112 is 420113.3546899273

Scales and comparisons

• 74,148,003,493,466,112 seconds is equal to 2,357,677,156 years, 13 weeks, 3 days, 1 hour, 55 minutes, 12 seconds.
• To count from 1 to 74,148,003,493,466,112 would take you about seven billion, seventy-three million, thirty-one thousand, four hundred sixty-eight 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 74148003493466112 cubic inches would be around 35009.4 feet tall.

Recreational maths with 74148003493466112

• 74148003493466112 backwards is 21166439430084147
• 74148003493466112 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 74148003493466112's digits is 63
• More coming soon!