248141475196992

Names of 248141475196992

• Cardinal: 248141475196992 can be written as Two hundred forty-eight trillion, one hundred forty-one billion, four hundred seventy-five million, one hundred ninety-six thousand, nine hundred ninety-two.

Scientific notation

• Scientific notation: 2.48141475196992 × 10¹⁴

Factors of 248141475196992

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 141227

Divisors of 248141475196992

• Number of divisors d(n): 672
• Complete list of divisors:
  1 2 3 4 6 8 9 12 13 16 18 24 26 27 31 32 36 39 48 52 54 62 64 72 78 81 93 96 104 108 117 124 144 156 162 186 192 208 216 234 243 248 279 281 288 312 324 351 372 403 416 432 468 486 496 558 562 576 624 648 702 744 806 832 837 843 864 936 972 992 1053 1116 1124 1209 1248 1296 1404 1488 1612 1674 1686 1728 1872 1944 1984 2106 2232 2248 2418 2496 2511 2529 2592 2808 2976 3159 3224 3348 3372 3627 3653 3744 3888 4212 4464 4496 4836 5022 5058 5184 5616 5952 6318 6448 6696 6744 7254 7306 7488 7533 7587 7776 8424 8711 8928 8992 9672 10044 10116 10881 10959 11232 12636 12896 13392 13488 14508 14612 15066 15174 15552 16848 17422 17856 17984 19344 20088 20232 21762 21918 22464 22761 25272 25792 26133 26784 26976 29016 29224 30132 30348 32643 32877 33696 34844 38688 40176 40464 43524 43836 45522 50544 52266 53568 53952 58032 58448 60264 60696 65286 65754 67392 68283 69688 77376 78399 80352 80928 87048 87672 91044 97929 98631 101088 104532 113243 116064 116896 120528 121392 130572 131508 136566 139376 140897 156798 160704 161856 174096 175344 182088 195858 197262 202176 209064 226486 232128 233792 235197 241056 242784 261144 263016 273132 278752 281794 295893 313596 339729 348192 350688 364176 391716 394524 418128 422691 452972 470394 482112 485568 522288 526032 546264 557504 563588 591786 627192 679458 696384 701376 705591 728352 783432 789048 836256 845382 887679 905944 940788 1019187 1044576 1052064 1092528 1127176 1183572 1254384 1268073 1358916 1411182 1456704 1566864 1578096 1672512 1690764 1775358 1811888 1831661 1881576 2038374 2089152 2104128 2116773 2185056 2254352 2367144 2508768 2536146 2717832 2822364 3057561 3133728 3156192 3381528 3550716 3623776 3663322 3763152 3804219 4076748 4233546 4367807 4370112 4508704 4734288 5017536 5072292 5435664 5494983 5644728 6115122 6267456 6312384 6763056 7101432 7247552 7326644 7526304 7608438 8153496 8467092 8735614 9017408 9172683 9468576 10144584 10871328 10989966 11289456 11412657 12230244 13103421 13526112 14202864 14653288 15052608 15216876 16306992 16484949 16934184 17471228 18345366 18937152 20289168 21742656 21979932 22578912 22825314 24460488 26206842 27052224 27518049 28405728 29306576 30433752 32613984 32969898 33868368 34237971 34942456 36690732 39310263 39592057 40578336 43959864 45157824 45650628 48920976 49454847 52413684 55036098 56781491 56811456 58613152 60867504 65227968 65939796 67736736 68475942 69884912 73381464 78620526 79184114 81156672 87919728 91301256 97841952 98909694 104827368 110072196 113562982 117226304 117930789 118776171 121735008 131879592 135473472 136951884 139769824 146762928 148364541 157241052 158368228 170344473 175839456 182602512 195683904 197819388 209654736 220144392 227125964 235861578 237552342 243470016 263759184 273903768 279539648 293525856 296729082 314482104 316736456 340688946 351678912 353792367 356328513 365205024 395638776 419309472 440288784 445093623 454251928 471723156 475104684 511033419 514696741 527518368 547807536 587051712 593458164 628964208 633472912 681377892 707584734 712657026 730410048 791277552 838618944 880577568 890187246 908503856 943446312 950209368 1022066838 1029393482 1055036736 1061377101 1068985539 1095615072 1186916328 1227353767 1257928416 1266945824 1362755784 1415169468 1425314052 1533100257 1544090223 1582555104 1761155136 1780374492 1817007712 1886892624 1900418736 2044133676 2058786964 2122754202 2137971078 2191230144 2373832656 2454707534 2515856832 2533891648 2725511568 2830338936 2850628104 3066200514 3088180446 3165110208 3206956617 3560748984 3634015424 3682061301 3773785248 3800837472 4088267352 4117573928 4245508404 4275942156 4599300771 4632270669 4747665312 4909415068 5451023136 5660677872 5701256208 6132401028 6176360892 6413913234 7121497968 7364122602 7547570496 7601674944 8176534704 8235147856 8491016808 8551884312 9198601542 9264541338 9495330624 9620869851 9818830136 10902046272 11046183903 11321355744 11402512416 12264802056 12352721784 12827826468 13797902313 13896812007 14242995936 14728245204 15955598971 16353069408 16470295712 16982033616 17103768624 18397203084 18529082676 19241739702 19637660272 22092367806 22642711488 22805024832 24529604112 24705443568 25655652936 27595804626 27793624014 28485991872 29456490408 31911197942 32706138816 32940591424 33138551709 33964067232 34207537248 36794406168 37058165352 38483479404 39275320544 41690436021 44184735612 47866796913 49059208224 49410887136 51311305872 55191609252 55587248028 58912980816 63822395884 66277103418 67928134464 68415074496 73588812336 74116330704 76966958808 78550641088 83380872042 88369471224 95733593826 98118416448 98821774272 99415655127 102622611744 110383218504 111174496056 117825961632 125071308063 127644791768 132554206836 143600390739 147177624672 148232661408 153933917616 166761744084 176738942448 191467187652 198831310254 205245223488 220766437008 222348992112 235651923264 250142616126 255289583536 265108413672 287200781478 294355249344 296465322816 298246965381 307867835232 333523488168 353477884896 382934375304 397662620508 430801172217 441532874016 444697984224 500285232252 510579167072 530216827344 574401562956 596493930762 615735670464 667046976336 706955769792 765868750608 795325241016 861602344434 883065748032 889395968448 1000570464504 1021158334144 1060433654688 1148803125912 1192987861524 1292403516651 1334093952672 1531737501216 1590650482032 1723204688868 2001140929008 2120867309376 2297606251824 2385975723048 2584807033302 2668187905344 3063475002432 3181300964064 3446409377736 3877210549953 4002281858016 4595212503648 4771951446096 5169614066604 6362601928128 6892818755472 7754421099906 8004563716032 9190425007296 9543902892192 10339228133208 13785637510944 15508842199812 19087805784384 20678456266416 27571275021888 31017684399624 41356912532832 62035368799248 82713825065664 124070737598496 248141475196992
• Sum of all divisors σ(n): 822881039145984
• Sum of proper divisors (its aliquot sum) s(n): 574739563948992
• 248141475196992 is an abundant number, because the sum of its proper divisors (574739563948992) is greater than itself. Its abundance is 326598088752000

Bases of 248141475196992

• Binary: 111000011010111011110000011110111011000001000000₂
• Hexadecimal: 0xE1AEF07BB040
• Base-36: 2FYIMBIC00

Squares and roots of 248141475196992

• 248141475196992 squared (248141475196992²) is 61574191712939395925205848064
• 248141475196992 cubed (248141475196992³) is 15279110765711181464404926299325004821823488
• The square root of 248141475196992 is 15752506.9495935155
• The cube root of 248141475196992 is 62839.5577511443

Scales and comparisons

• 248,141,475,196,992 seconds is equal to 7,890,131 years, 18 weeks, 4 days, 18 hours, 43 minutes, 12 seconds.
• To count from 1 to 248,141,475,196,992 would take you about nineteen million, seven hundred twenty-five thousand, three hundred twenty-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 248141475196992 cubic inches would be around 5236.6 feet tall.

Recreational maths with 248141475196992

• 248141475196992 backwards is 299691574141842
• 248141475196992 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 248141475196992's digits is 72
• More coming soon!