138694790198294400

Names of 138694790198294400

• Cardinal: 138694790198294400 can be written as One hundred thirty-eight quadrillion, six hundred ninety-four trillion, seven hundred ninety billion, one hundred ninety-eight million, two hundred ninety-four thousand, four hundred.

Scientific notation

• Scientific notation: 1.386947901982944 × 10¹⁷

Factors of 138694790198294400

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 7693709

Divisors of 138694790198294400

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 50 56 60 64 70 75 80 84 96 100 105 112 120 128 140 150 160 168 175 192 200 210 224 240 280 300 320 336 350 384 400 420 448 480 525 560 600 640 672 700 800 840 896 960 1050 1120 1200 1344 1400 1600 1680 1920 2100 2240 2400 2688 2800 3200 3360 4200 4480 4800 5600 6720 8400 9600 11200 13440 16800 22400 33600 67200 278329 556658 834987 1113316 1391645 1669974 1948303 2226632 2783290 3339948 3896606 4174935 4453264 5566580 5844909 6679896 6958225 7415363 7793212 8349870 8906528 9741515 11133160 11689818 13359792 13916450 14830726 15586424 16699740 17813056 19483030 20874675 22246089 22266320 23379636 26719584 27832900 29224545 29661452 31172848 33399480 35626112 37076815 38966060 41749350 44492178 44532640 46759272 48707575 51907541 53439168 55665800 58449090 59322904 62345696 66798960 74153630 77932120 83498700 88984356 89065280 93518544 97415150 103815082 106878336 111230445 111331600 116898180 118645808 124691392 133597920 146122725 148307260 155722623 155864240 166997400 177968712 178130560 185384075 187037088 194830300 207630164 222460890 222663200 233796360 237291616 249382784 259537705 267195840 292245450 296614520 311445246 311728480 333994800 355937424 370768150 374074176 389660600 415260328 444921780 445326400 467592720 474583232 519075410 534391680 556152225 584490900 593229040 622890492 623456960 667989600 711874848 741536300 748148352 778613115 779321200 830520656 889843560 890652800 935185440 949166464 1038150820 1112304450 1168981800 1186458080 1245780984 1246913920 1297688525 1335979200 1423749696 1483072600 1557226230 1558642400 1661041312 1779687120 1870370880 2076301640 2224608900 2337963600 2372916160 2491561968 2595377050 2671958400 2847499392 2966145200 3114452460 3117284800 3322082624 3559374240 3740741760 3893065575 4152603280 4449217800 4675927200 4745832320 4983123936 5190754100 5932290400 6228904920 6234569600 6644165248 7118748480 7786131150 8305206560 8898435600 9351854400 9966247872 10381508200 11864580800 12457809840 14237496960 15572262300 16610413120 17796871200 18703708800 19932495744 20763016400 23729161600 24915619680 31144524600 33220826240 35593742400 41526032800 49831239360 62289049200 71187484800 83052065600 99662478720 124578098400 166104131200 249156196800 498312393600 2063910568427 4127821136854 6191731705281 8255642273708 10319552842135 12383463410562 14447373978989 16511284547416 20639105684270 24766926821124 28894747957978 30958658526405 33022569094832 41278211368540 43342121936967 49533853642248 51597764210675 57789495915956 61917317052810 66045138189664 72236869894945 82556422737080 86684243873934 99067707284496 103195528421350 115578991831912 123834634105620 132090276379328 144473739789890 154793292632025 165112845474160 173368487747868 198135414568992 206391056842700 216710609684835 231157983663824 247669268211240 264180552758656 288947479579780 309586585264050 330225690948320 346736975495736 361184349474725 396270829137984 412782113685400 433421219369670 462315967327648 495338536422480 577894959159560 619173170528100 660451381896640 693473950991472 722368698949450 792541658275968 825564227370800 866842438739340 924631934655296 990677072844960 1083553048424175 1155789918319120 1238346341056200 1320902763793280 1386947901982944 1444737397898900 1651128454741600 1733684877478680 1849263869310592 1981354145689920 2167106096848350 2311579836638240 2476692682112400 2773895803965888 2889474795797800 3302256909483200 3467369754957360 3962708291379840 4334212193696700 4623159673276480 4953385364224800 5547791607931776 5778949591595600 6604513818966400 6934739509914720 8668424387393400 9246319346552960 9906770728449600 11557899183191200 13869479019829440 17336848774786800 19813541456899200 23115798366382400 27738958039658880 34673697549573600 46231596732764800 69347395099147200 138694790198294400
• Sum of all divisors σ(n): 522088763585875200
• Sum of proper divisors (its aliquot sum) s(n): 383393973387580800
• 138694790198294400 is an abundant number, because the sum of its proper divisors (383393973387580800) is greater than itself. Its abundance is 244699183189286400

Bases of 138694790198294400

• Binary: 111101100101111100010110101000101111101110111011110000000₂
• Hexadecimal: 0x1ECBE2D45F77780
• Base-36: 11XN770IP85C

Squares and roots of 138694790198294400

• 138694790198294400 squared (138694790198294400²) is 19236244828148900371672669071360000
• 138694790198294400 cubed (138694790198294400³) is 2667966940643137452230952095452379124303888384000000
• The square root of 138694790198294400 is 372417494.4847440971
• The cube root of 138694790198294400 is 517630.7279536967

Scales and comparisons

• 138,694,790,198,294,400 seconds is equal to 4,410,065,317 years, 7 weeks, 6 days, 5 hours, 20 minutes.
• To count from 1 to 138,694,790,198,294,400 would take you about thirteen billion, two hundred thirty million, one hundred ninety-five thousand, nine hundred fifty-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 138694790198294400 cubic inches would be around 43135.9 feet tall.

Recreational maths with 138694790198294400

• 138694790198294400 backwards is 004492891097496831
• 138694790198294400 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 138694790198294400's digits is 84
• More coming soon!