42814854198144

Names of 42814854198144

• Cardinal: 42814854198144 can be written as Forty-two trillion, eight hundred fourteen billion, eight hundred fifty-four million, one hundred ninety-eight thousand, one hundred forty-four.

Scientific notation

• Scientific notation: 4.2814854198144 × 10¹³

Factors of 42814854198144

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 20
• Sum of prime factors: 319

Divisors of 42814854198144

• Number of divisors d(n): 640
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 64 72 84 96 98 108 112 126 128 144 147 168 189 192 196 216 224 252 288 294 307 336 343 378 384 392 432 441 448 504 576 588 614 672 686 756 784 864 882 896 921 1008 1029 1152 1176 1228 1323 1344 1372 1512 1568 1728 1764 1842 2016 2058 2149 2352 2401 2456 2646 2688 2744 2763 3024 3087 3136 3456 3528 3684 4032 4116 4298 4704 4802 4912 5292 5488 5526 6048 6174 6272 6447 7056 7203 7368 8064 8232 8289 8596 9261 9408 9604 9824 10584 10976 11052 12096 12348 12894 14112 14406 14736 15043 16464 16578 16807 17192 18522 18816 19208 19341 19648 21168 21609 21952 22104 24192 24696 25788 28224 28812 29472 30086 32928 33156 33614 34384 37044 38416 38682 39296 42336 43218 43904 44208 45129 49392 50421 51576 56448 57624 58023 58944 60172 64827 65856 66312 67228 68768 74088 76832 77364 84672 86436 88416 90258 98784 100842 103152 105301 115248 116046 117649 117888 120344 129654 131712 132624 134456 135387 137536 148176 151263 153664 154728 169344 172872 176832 180516 197568 201684 206304 210602 230496 232092 235298 240688 259308 265248 268912 270774 275072 296352 302526 307328 309456 315903 345744 352947 353664 361032 395136 403368 406161 412608 421204 453789 460992 464184 470596 481376 518616 530496 537824 541548 592704 605052 618912 631806 691488 705894 722064 737107 806736 812322 823543 825216 842408 907578 921984 928368 941192 947709 962752 1037232 1058841 1060992 1075648 1083096 1185408 1210104 1237824 1263612 1382976 1411788 1444128 1474214 1613472 1624644 1647086 1684816 1815156 1856736 1882384 1895418 1925504 2074464 2117682 2151296 2166192 2211321 2420208 2470629 2475648 2527224 2765952 2823576 2843127 2888256 2948428 3176523 3226944 3249288 3294172 3369632 3630312 3713472 3764768 3790836 4148928 4235364 4332384 4422642 4840416 4941258 5054448 5159749 5647152 5686254 5764801 5776512 5896856 6353046 6453888 6498576 6588344 6633963 6739264 7260624 7411887 7426944 7529536 7581672 8297856 8470728 8664768 8845284 9680832 9882516 10108896 10319498 11294304 11372508 11529602 11793712 12706092 12997152 13176688 13267926 13478528 14521248 14823774 15059072 15163344 15479247 16941456 17294403 17329536 17690568 19361664 19765032 19901889 20217792 20638996 22235661 22588608 22745016 23059204 23587424 25412184 25994304 26353376 26535852 29042496 29647548 30326688 30958494 33882912 34588806 35381136 36118243 39530064 39803778 40353607 40435584 41277992 44471322 45177216 45490032 46118408 46437741 47174848 50824368 51883209 51988608 52706752 53071704 58084992 59295096 60653376 61916988 67765824 69177612 70762272 72236486 79060128 79607556 80707214 82555984 88942644 90980064 92236816 92875482 94349696 101648736 103766418 105413504 106143408 108354729 118590192 121060821 121306752 123833976 135531648 138355224 139313223 141524544 144472972 155649627 158120256 159215112 161414428 165111968 177885288 181960128 184473632 185750964 203297472 207532836 212286816 216709458 237180384 242121642 247667952 252827701 276710448 278626446 283049088 288945944 311299254 316240512 318430224 322828856 325064187 330223936 355770576 363182463 363920256 368947264 371501928 406594944 415065672 424573632 433418916 474360768 484243284 495335904 505655402 553420896 557252892 577891888 622598508 636860448 645657712 650128374 660447872 711541152 726364926 737894528 743003856 758483103 830131344 849147264 866837832 948721536 968486568 975192561 990671808 1011310804 1089547389 1106841792 1114505784 1155783776 1245197016 1273720896 1291315424 1300256748 1423082304 1452729852 1486007712 1516966206 1660262688 1733675664 1769793907 1936973136 1950385122 1981343616 2022621608 2179094778 2213683584 2229011568 2275449309 2311567552 2490394032 2547441792 2582630848 2600513496 2846164608 2905459704 2972015424 3033932412 3320525376 3467351328 3539587814 3873946272 3900770244 4045243216 4358189556 4458023136 4550898618 4623135104 4980788064 5165261696 5201026992 5309381721 5810919408 5944030848 6067864824 6641050752 6826347927 6934702656 7079175628 7747892544 7801540488 8090486432 8716379112 8916046272 9101797236 9961576128 10402053984 10618763442 11621838816 12135729648 12388557349 13652695854 13869405312 14158351256 15495785088 15603080976 15928145163 16180972864 17432758224 17832092544 18203594472 19923152256 20804107968 21237526884 23243677632 24271459296 24777114698 27305391708 28316702512 31206161952 31856290326 32361945728 34865516448 36407188944 37165672047 41608215936 42475053768 46487355264 47784435489 48542918592 49554229396 54610783416 56633405024 62412323904 63712580652 69731032896 72814377888 74331344094 84950107536 95568870978 97085837184 99108458792 109221566832 111497016141 113266810048 124824647808 127425161304 139462065792 145628755776 148662688188 169900215072 191137741956 198216917584 218443133664 222994032282 226533620096 254850322608 291257511552 297325376376 334491048423 339800430144 382275483912 396433835168 436886267328 445988064564 509700645216 594650752752 668982096846 679600860288 764550967824 792867670336 873772534656 891976129128 1019401290432 1189301505504 1337964193692 1529101935648 1585735340672 1783952258256 2038802580864 2378603011008 2675928387384 3058203871296 3567904516512 4757206022016 5351856774768 6116407742592 7135809033024 10703713549536 14271618066048 21407427099072 42814854198144
• Sum of all divisors σ(n): 147904039852800
• Sum of proper divisors (its aliquot sum) s(n): 105089185654656
• 42814854198144 is an abundant number, because the sum of its proper divisors (105089185654656) is greater than itself. Its abundance is 62274331456512

Bases of 42814854198144

• Binary: 1001101111000010011100001011001111001110000000₂
• Hexadecimal: 0x26F09C2CF380
• Base-36: F6CVEQQO0

Squares and roots of 42814854198144

• 42814854198144 squared (42814854198144²) is 1833111740008328901213044736
• 42814854198144 cubed (42814854198144³) is 78484411877362653301627255069266080169984
• The square root of 42814854198144 is 6543306.0602530279
• The cube root of 42814854198144 is 34983.6261365105

Scales and comparisons

• 42,814,854,198,144 seconds is equal to 1,361,379 years, 48 weeks, 1 day, 23 hours, 2 minutes, 24 seconds.
• To count from 1 to 42,814,854,198,144 would take you about three million, four hundred three thousand, four hundred forty-nine 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 42814854198144 cubic inches would be around 2915.3 feet tall.

Recreational maths with 42814854198144

• 42814854198144 backwards is 44189145841824
• 42814854198144 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 42814854198144's digits is 63
• More coming soon!