242146996286624

Names of 242146996286624

• Cardinal: 242146996286624 can be written as Two hundred forty-two trillion, one hundred forty-six billion, nine hundred ninety-six million, two hundred eighty-six thousand, six hundred twenty-four.

Scientific notation

• Scientific notation: 2.42146996286624 × 10¹⁴

Factors of 242146996286624

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 433

Divisors of 242146996286624

• Number of divisors d(n): 720
• Complete list of divisors:
  1 2 4 8 11 13 16 22 26 32 37 44 52 74 88 104 113 121 143 148 176 208 226 242 257 286 296 352 407 416 452 481 484 514 572 592 814 904 962 968 1028 1144 1184 1243 1331 1369 1469 1573 1628 1808 1924 1936 2056 2288 2486 2662 2738 2827 2938 3146 3256 3341 3616 3848 3872 4112 4181 4477 4576 4972 5291 5324 5476 5654 5876 6292 6512 6682 7696 8224 8362 8954 9509 9944 10582 10648 10952 11308 11752 12584 13024 13364 13673 14641 15059 15392 16159 16724 17303 17797 17908 19018 19888 21164 21296 21904 22616 23504 25168 26728 27346 29041 29282 30118 31097 32318 33448 34606 35594 35816 36751 38036 39776 42328 42592 43808 45232 45991 47008 49247 50336 53456 54353 54692 58082 58201 58564 60236 62194 64636 66896 69212 71188 71632 73502 76072 84656 90464 91982 98494 104599 106912 108706 109384 116164 116402 117128 120472 123617 124388 129272 133792 138424 142376 143264 147004 150403 152144 154697 165649 169312 177749 183964 190333 195767 196988 209198 217412 218768 232328 232804 234256 240944 247234 248776 258544 276848 284752 294008 300806 304288 309394 319451 331298 342067 351833 355498 367928 377533 380666 391534 393976 404261 418396 434824 437536 464656 465608 468512 481888 494468 497552 505901 517088 541717 553696 569504 588016 597883 601612 618788 638902 640211 662596 684134 703666 710996 735856 755066 761332 783068 787952 808522 836792 869648 929312 931216 988936 995104 1011802 1074517 1083434 1150589 1176032 1195766 1203224 1237576 1277804 1280422 1325192 1359787 1368268 1407332 1421992 1471712 1510132 1522664 1566136 1575904 1617044 1654433 1673584 1701667 1739296 1822139 1862432 1955239 1977872 2011061 2023604 2149034 2153437 2166868 2301178 2391532 2406448 2475152 2555608 2560844 2650384 2719574 2736536 2814664 2843984 3020264 3045328 3132272 3234088 3308866 3347168 3403334 3513961 3644278 3762737 3870163 3910478 3955744 4022122 4047208 4152863 4298068 4306874 4333736 4446871 4573829 4602356 4783064 4812896 4950304 5111216 5121688 5300768 5439148 5473072 5564911 5629328 5687968 6040528 6090656 6264544 6468176 6576713 6617732 6806668 7027922 7042321 7288556 7525474 7740326 7820956 8044244 8094416 8305726 8596136 8613748 8667472 8893742 9147658 9204712 9566128 10222432 10243376 10878296 10946144 11129822 11258656 11819687 12081056 12656479 12936352 13153426 13235464 13613336 13968721 14055844 14084642 14577112 14957657 15050948 15480652 15641912 16088488 16188832 16611452 17192272 17227496 17334944 17787484 18295316 18409424 18718337 19132256 20043529 20486752 21507629 21756592 22121671 22259644 23639374 23687807 25312958 26306852 26470928 27226672 27937442 28111688 28169284 29154224 29915314 30101896 30961304 31283824 32176976 33222904 34384544 34454992 35574968 36590632 36818848 37436674 38653571 39757129 40087058 42571793 43015258 43513184 44243342 44519288 45681493 47278748 47375614 48915581 50312119 50625916 52613704 52941856 54453344 55874884 56223376 56338568 58308448 59830628 60203792 61214021 61922608 62567648 64353952 66445808 68909984 71149936 72343843 73181264 74873348 77307142 79514258 80174116 85143586 86030516 88486684 89038576 91362986 94557496 94751228 97831162 100624238 101251832 105227408 111749768 112446752 112677136 119661256 120407584 122428042 123845216 130016557 132891616 139221269 142299872 144687686 146362528 149746696 153655931 154614284 159028516 160348232 164534227 170287172 172061032 176973368 178077152 182725972 189114992 189502456 195662324 201248476 202503664 205901707 210454816 223499536 225354272 239322512 243338381 244856084 260033114 260565877 278442538 289375372 299493392 307311862 309228568 318057032 320696464 329068454 340574344 344122064 353946736 365451944 378229984 379004912 391324648 402496952 405007328 411803414 425189281 437328419 446999072 468289723 478645024 486676762 489712168 502496423 516842677 520066228 521131754 553433309 556885076 578750744 598986784 614623724 618457136 636114064 641392928 658136908 681148688 688244128 707893472 730903888 758009824 782649296 795782273 804993904 823606828 850378562 874656838 936579446 973353524 979424336 1004992846 1033685354 1040132456 1042263508 1106866618 1113770152 1157501488 1229247448 1236914272 1272228128 1316273816 1362297376 1430182127 1461807776 1565298592 1591564546 1609987808 1647213656 1690215241 1700757124 1749313676 1809876497 1873158892 1946707048 1958848672 2009985692 2067370708 2080264912 2084527016 2213733236 2227540304 2264918777 2315002976 2458494896 2632547632 2676722191 2860364254 3183129092 3294427312 3380430482 3401514248 3498627352 3619752994 3746317784 3893414096 4019971384 4134741416 4160529824 4169054032 4427466472 4455080608 4529837554 4810612609 4916989792 5151186953 5265095264 5353444382 5527460653 5685269447 5720728508 6087766399 6366258184 6588854624 6760860964 6803028496 6997254704 7239505988 7492635568 7786828192 8039942768 8269482832 8338108064 8854932944 9059675108 9621225218 10302373906 10706888764 11054921306 11370538894 11441457016 12175532798 12732516368 13521721928 13606056992 13994509408 14479011976 14985271136 15732003397 16079885536 16538965664 17709865888 18119350216 18592367651 19242450436 20604747812 21413777528 22109842612 22741077788 22882914032 24351065596 25465032736 27043443856 28958023952 29443944101 31464006794 36238700432 37184735302 38484900872 41209495624 42827555056 44219685224 45482155576 45765828064 48702131192 52916738699 54086887712 57916047904 58887888202 62537963917 62928013588 66965430389 72477400864 74369470604 76969801744 82418991248 85655110112 88439370448 90964311152 97404262384 105833477398 117775776404 125075927834 125856027176 133930860778 148738941208 153939603488 164837982496 176878740896 181928622304 194808524768 204516044161 211666954796 235551552808 250151855668 251712054352 267861721556 297477882416 409032088322 423333909592 471103105616 500303711336 503424108704 535723443112 582084125689 594955764832 687917603087 818064176644 846667819184 942206211232 1000607422672 1071446886224 1164168251378 1375835206174 1636128353288 1693335638368 2001214845344 2142893772448 2328336502756 2751670412348 3272256706576 4656673005512 5503340824696 6544513413152 7567093633957 9313346011024 11006681649392 15134187267914 18626692022048 22013363298784 30268374535828 60536749071656 121073498143312 242146996286624
• Sum of all divisors σ(n): 587824886973240
• Sum of proper divisors (its aliquot sum) s(n): 345677890686616
• 242146996286624 is an abundant number, because the sum of its proper divisors (345677890686616) is greater than itself. Its abundance is 103530894399992

Bases of 242146996286624

• Binary: 110111000011101100111101101100100111010010100000₂
• Hexadecimal: 0xDC3B3DB274A0
• Base-36: 2DU0SLJEE8

Squares and roots of 242146996286624

• 242146996286624 squared (242146996286624²) is 58635167810634297245161317376
• 242146996286624 cubed (242146996286624³) is 14198329762107238271042133351598119927578624
• The square root of 242146996286624 is 15561073.1084531571
• The cube root of 242146996286624 is 62329.4118349147

Scales and comparisons

• 242,146,996,286,624 seconds is equal to 7,699,525 years, 24 weeks, 3 days, 20 hours, 3 minutes, 44 seconds.
• To count from 1 to 242,146,996,286,624 would take you about nineteen million, two hundred forty-eight thousand, eight hundred thirteen 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 242146996286624 cubic inches would be around 5194.1 feet tall.

Recreational maths with 242146996286624

• 242146996286624 backwards is 426682699641242
• The number of decimal digits it has is: 15
• The sum of 242146996286624's digits is 71
• More coming soon!