42638417832192

Names of 42638417832192

• Cardinal: 42638417832192 can be written as Forty-two trillion, six hundred thirty-eight billion, four hundred seventeen million, eight hundred thirty-two thousand, one hundred ninety-two.

Scientific notation

• Scientific notation: 4.2638417832192 × 10¹³

Factors of 42638417832192

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 1019

Divisors of 42638417832192

• Number of divisors d(n): 648
• Complete list of divisors:
  1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 53 56 64 78 84 91 96 104 106 112 128 156 159 168 169 182 192 208 212 224 256 273 312 318 336 338 364 371 384 416 424 448 507 546 624 636 672 676 689 728 742 768 832 848 896 941 1014 1092 1113 1183 1248 1272 1344 1352 1378 1456 1484 1664 1696 1792 1882 2028 2067 2184 2226 2366 2496 2544 2688 2704 2756 2823 2912 2968 3328 3392 3549 3764 4056 4134 4368 4452 4732 4823 4992 5088 5376 5408 5512 5646 5824 5936 6587 6784 7098 7528 8112 8268 8736 8904 8957 9464 9646 9984 10176 10816 11024 11292 11648 11872 12233 13174 13568 14196 14469 15056 16224 16536 17472 17808 17914 18928 19292 19761 20352 21632 22048 22584 23296 23744 24466 26348 26871 28392 28938 30112 32448 33072 34944 35616 35828 36699 37856 38584 39522 40704 43264 44096 45168 47488 48932 49873 52696 53742 56784 57876 60224 62699 64896 66144 69888 71232 71656 73398 75712 77168 79044 85631 88192 90336 94976 97864 99746 105392 107484 113568 115752 120448 125398 129792 132288 142464 143312 146796 149619 151424 154336 158088 159029 171262 176384 180672 188097 195728 199492 210784 214968 227136 231504 240896 250796 256893 264576 284928 286624 293592 299238 302848 308672 316176 318058 342524 349111 361344 376194 391456 398984 421568 429936 454272 463008 477087 501592 513786 529152 573248 587184 598476 617344 632352 636116 648349 685048 698222 722688 752388 782912 797968 843136 859872 885481 908544 926016 954174 1003184 1027572 1047333 1113203 1146496 1174368 1196952 1234688 1264704 1272232 1296698 1370096 1396444 1504776 1565824 1595936 1686272 1719744 1770962 1852032 1908348 1945047 2006368 2055144 2094666 2226406 2292992 2348736 2393904 2529408 2544464 2593396 2656443 2740192 2792888 3009552 3131648 3191872 3339609 3439488 3541924 3704064 3816696 3890094 4012736 4110288 4189332 4452812 4538443 4697472 4787808 5058816 5088928 5186792 5312886 5480384 5585776 6019104 6198367 6383744 6679218 6878976 7083848 7633392 7780188 8025472 8220576 8378664 8428537 8905624 9076886 9394944 9575616 10177856 10373584 10625772 10960768 11171552 11511253 12038208 12396734 12767488 13358436 13615329 14167696 15266784 15560376 16050944 16441152 16757328 16857074 17811248 18153772 18595101 19151232 20355712 20747168 21251544 21921536 22343104 23022506 24076416 24793468 25285611 26716872 27230658 28335392 30533568 31120752 32882304 33514656 33714148 34533759 35622496 36307544 37190202 38302464 40711424 41494336 42503088 44686208 46045012 46930493 48152832 49586936 50571222 53433744 54461316 56670784 58999759 61067136 62241504 65764608 67029312 67428296 69067518 71244992 72615088 74380404 80578771 82988672 85006176 89372416 92090024 93860986 99173872 101142444 106867488 108922632 113341568 117999518 122134272 124483008 134058624 134856592 138135036 140791479 142489984 145230176 148760808 149646289 161157542 165977344 170012352 176999277 184180048 187721972 198347744 202284888 213734976 217845264 226683136 235999036 241736313 248966016 268117248 269713184 276270072 281582958 284979968 290460352 297521616 299292578 322315084 328513451 340024704 353998554 368360096 375443944 396695488 404569776 427469952 435690528 448938867 471998072 483472626 497932032 539426368 552540144 563165916 580920704 595043232 598585156 610096409 644630168 657026902 680049408 707997108 736720192 750887888 793390976 809139552 854939904 871381056 897877734 943996144 966945252 985540353 1047524023 1078852736 1105080288 1126331832 1161841408 1190086464 1197170312 1220192818 1289260336 1314053804 1415994216 1473440384 1501775776 1586781952 1618279104 1742762112 1795755468 1830289227 1887992288 1933890504 1971080706 2095048046 2157705472 2210160576 2252663664 2380172928 2394340624 2440385636 2578520672 2628107608 2831988432 2946880768 3003551552 3142572069 3236558208 3485524224 3591510936 3660578454 3775984576 3867781008 3942161412 4190096092 4270674863 4420321152 4505327328 4760345856 4788681248 4880771272 5157041344 5256215216 5663976864 6007103104 6285144138 6473116416 7183021872 7321156908 7551969152 7735562016 7884322824 7931253317 8380192184 8541349726 8840642304 9010654656 9577362496 9761542544 10314082688 10512430432 11327953728 12014206208 12570288276 12812024589 14366043744 14642313816 15103938304 15471124032 15768645648 15862506634 16760384368 17082699452 18021309312 19154724992 19523085088 20628165376 21024860864 22655907456 23793759951 25140576552 25624049178 28732087488 29284627632 30942248064 31537291296 31725013268 33520768736 34165398904 36042618624 38309449984 39046170176 42049721728 45311814912 47587519902 50281153104 51248098356 55518773219 57464174976 58569255264 61884496128 63074582592 63450026536 67041537472 68330797808 78092340352 84099443456 95175039804 100562306208 102496196712 111037546438 114928349952 117138510528 126149165184 126900053072 134083074944 136661595616 156184680704 166556319657 190350079608 201124612416 204992393424 222075092876 234277021056 252298330368 253800106144 268166149888 273323191232 333112639314 380700159216 402249224832 409984786848 444150185752 468554042112 507600212288 546646382464 666225278628 761400318432 804498449664 819969573696 888300371504 1015200424576 1093292764928 1332450557256 1522800636864 1639939147392 1776600743008 2030400849152 2664901114512 3045601273728 3279878294784 3553201486016 5329802229024 6091202547456 7106402972032 10659604458048 14212805944064 21319208916096 42638417832192
• Sum of all divisors σ(n): 143237503870272
• Sum of proper divisors (its aliquot sum) s(n): 100599086038080
• 42638417832192 is an abundant number, because the sum of its proper divisors (100599086038080) is greater than itself. Its abundance is 57960668205888

Bases of 42638417832192

• Binary: 1001101100011110000111101111111010100100000000₂
• Hexadecimal: 0x26C787BFA900
• Base-36: F43TH33EO

Squares and roots of 42638417832192

• 42638417832192 squared (42638417832192²) is 1818034675232588732671524864
• 42638417832192 cubed (42638417832192³) is 77518122115980602824308483796481907621888
• The square root of 42638417832192 is 6529809.9384432315
• The cube root of 42638417832192 is 34935.5051275277

Scales and comparisons

• 42,638,417,832,192 seconds is equal to 1,355,769 years, 41 weeks, 3 days, 9 hours, 23 minutes, 12 seconds.
• To count from 1 to 42,638,417,832,192 would take you about three million, three hundred eighty-nine thousand, four hundred twenty-four 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 42638417832192 cubic inches would be around 2911.3 feet tall.

Recreational maths with 42638417832192

• 42638417832192 backwards is 29123871483624
• The number of decimal digits it has is: 14
• The sum of 42638417832192's digits is 60
• More coming soon!