42478812608960

Names of 42478812608960

• Cardinal: 42478812608960 can be written as Forty-two trillion, four hundred seventy-eight billion, eight hundred twelve million, six hundred eight thousand, nine hundred sixty.

Scientific notation

• Scientific notation: 4.247881260896 × 10¹³

Factors of 42478812608960

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 2846

Divisors of 42478812608960

• Number of divisors d(n): 896
• Complete list of divisors:
  1 2 4 5 7 8 10 13 14 16 17 20 26 28 32 34 35 40 49 52 56 64 65 68 70 80 85 91 98 104 112 119 130 136 140 160 170 182 196 208 221 224 238 245 260 272 280 320 340 343 364 392 416 442 448 455 476 490 520 544 560 595 637 680 686 728 784 832 833 884 910 941 952 980 1040 1088 1105 1120 1190 1274 1360 1372 1456 1547 1568 1666 1715 1768 1820 1861 1882 1904 1960 2080 2210 2240 2380 2548 2720 2744 2912 3094 3136 3185 3332 3430 3536 3640 3722 3764 3808 3920 4160 4165 4420 4459 4705 4760 5096 5440 5488 5824 5831 6188 6370 6587 6664 6860 7072 7280 7444 7528 7616 7735 7840 8330 8840 8918 9305 9410 9520 10192 10829 10976 11662 12233 12376 12740 13027 13174 13328 13720 14144 14560 14888 15056 15470 15680 15997 16660 17680 17836 18610 18820 19040 20384 21658 21952 22295 23324 24193 24466 24752 25480 26054 26348 26656 27440 29120 29155 29776 30112 30940 31637 31994 32935 33320 35360 35672 37220 37640 38080 40768 43316 44590 46109 46648 48386 48932 49504 50960 52108 52696 53312 54145 54880 58310 59552 60224 61165 61880 63274 63988 65135 65870 66640 70720 71344 74440 75280 75803 79985 85631 86632 89180 91189 92218 93296 96772 97864 99008 101920 104216 105392 108290 109760 111979 116620 119104 120965 122330 123760 126548 127976 130270 131740 133280 142688 148880 150560 151606 158185 159970 169351 171262 173264 178360 182378 184436 186592 193544 195728 203840 207961 208432 210784 216580 221459 223958 230545 233240 241930 244660 247520 253096 255952 260540 263480 266560 285376 297760 301120 303212 316370 319940 322763 338702 342524 346528 356720 364756 368872 373184 379015 387088 391456 411281 415922 416864 421568 428155 433160 442918 447916 455945 461090 466480 483860 489320 495040 506192 511904 521080 526960 559895 595520 599417 606424 632740 638323 639880 645526 677404 685048 693056 713440 729512 737744 758030 774176 782912 783853 822562 831844 833728 846755 856310 866320 885836 895832 911890 922180 932960 967720 978640 1012384 1023808 1039805 1042160 1053920 1107295 1119790 1185457 1198834 1212848 1265480 1276646 1279760 1291052 1354808 1370096 1426880 1455727 1459024 1475488 1516060 1548352 1550213 1567706 1613815 1645124 1663688 1693510 1712620 1732640 1751201 1771672 1791664 1823780 1844360 1865920 1935440 1957280 2024768 2056405 2079610 2084320 2107840 2214590 2239580 2370914 2397668 2425696 2530960 2553292 2559520 2582104 2709616 2740192 2878967 2911454 2918048 2950976 2997085 3032120 3100426 3135412 3191615 3227630 3290248 3327376 3387020 3425240 3465280 3502402 3543344 3583328 3647560 3688720 3870880 3914560 3919265 4112810 4159220 4168640 4195919 4429180 4479160 4741828 4795336 4851392 5061920 5106584 5119040 5164208 5419232 5480384 5486971 5757934 5822908 5836096 5927285 5994170 6064240 6200852 6270824 6383230 6455260 6580496 6654752 6774040 6850480 7004804 7086688 7166656 7278635 7295120 7377440 7741760 7751065 7838530 8225620 8298199 8318440 8391838 8756005 8858360 8958320 9483656 9590672 10123840 10190089 10213168 10328416 10838464 10851491 10973942 11515868 11645816 11854570 11988340 12128480 12258407 12401704 12541648 12766460 12910520 13160992 13309504 13548080 13700960 14009608 14173376 14394835 14557270 14590240 14754880 15502130 15677060 16451240 16596398 16636880 16783676 17512010 17716720 17916640 18967312 19181344 20152769 20380178 20426336 20656832 20979595 21702982 21947884 22765613 23031736 23291632 23709140 23976680 24256960 24516814 24803408 25083296 25532920 25821040 26321984 27096160 27401920 27434855 28019216 28789670 29114540 29180480 29770417 31004260 31354120 32902480 33192796 33273760 33567352 35024020 35433440 35833280 37934624 38362688 40305538 40760356 40852672 41490995 41959190 43405964 43895768 45531226 46063472 46583264 47418280 47953360 49033628 49606816 50166592 50950445 51065840 51642080 54192320 54257455 54869710 56038432 57579340 58229080 59540834 61292035 62008520 62708240 65804960 66385592 66547520 67134704 70048040 70866880 71330623 75869248 80611076 81520712 82981990 83918380 85808849 86811928 87791536 91062452 92126944 93166528 94836560 95906720 98067256 99213632 100763845 101900890 102131680 103284160 108514910 109739420 112076864 113828065 115158680 116458160 119081668 122584070 124017040 125416480 131609920 132771184 134269408 140096080 141069383 142661246 148852085 159359291 161222152 163041424 165963980 167836760 171617698 173623856 175583072 182124904 184253888 189673120 191813440 196134512 201527690 203801780 204263360 208392919 217029820 219478840 227656130 230317360 232916320 238163336 245168140 248034080 250832960 265542368 268538816 280192160 282138766 285322492 297704170 318718582 322444304 326082848 331927960 335673520 343235396 347247712 351166144 356653115 364249808 379346240 387015421 392269024 403055380 407603560 416785838 429044245 434059640 438957680 455312260 460634720 465832640 476326672 490336280 496068160 531084736 560384320 564277532 570644984 595408340 600661943 637437164 644888608 652165696 663855920 671347040 686470792 694495424 705346915 713306230 728499616 774030842 784538048 796796455 806110760 815207120 833571676 858088490 868119280 877915360 910624520 921269440 952653344 980672560 1041964595 1115515037 1128555064 1141289968 1190816680 1201323886 1274874328 1289777216 1327711840 1342694080 1372941584 1410693830 1426612460 1456999232 1458750433 1548061684 1593592910 1612221520 1630414240 1667143352 1716176980 1736238560 1755830720 1821249040 1905306688 1935077105 1961345120 2083929190 2231030074 2257110128 2282579936 2381633360 2402647772 2549748656 2655423680 2709107947 2745883168 2821387660 2853224920 2917500866 3003309715 3096123368 3187185820 3224443040 3260828480 3334286704 3432353960 3472477120 3642498080 3870154210 3922690240 4167858380 4462060148 4514220256 4565159872 4763266720 4805295544 5099497312 5418215894 5491766336 5577575185 5642775320 5706449840 5835001732 6006619430 6192246736 6374371640 6448886080 6668573408 6864707920 7284996160 7293752165 7740308420 7808605259 8335716760 8924120296 9028440512 9526533440 9610591088 10198994624 10211253031 10836431788 11155150370 11285550640 11412899680 11670003464 12013238860 12384493472 12748743280 13337146816 13545539735 13729415840 14587504330 15480616840 15617210518 16671433520 17848240592 18963755629 19221182176 20422506062 21672863576 22310300740 22571101280 22825799360 23340006928 24026477720 24768986944 25497486560 27091079470 27458831680 29175008660 30961233680 31234421036 33342867040 35696481184 37927511258 38442364352 39043026295 40845012124 43345727152 44620601480 45142202560 46680013856 48052955440 50994973120 51056265155 54182158940 58350017320 61922467360 62468842072 66685734080 71392962368 75855022516 78086052590 81690024248 86691454304 89241202960 93360027712 94818778145 96105910880 102112530310 108364317880 116700034640 123844934720 124937684144 132746289403 151710045032 156172105180 163380048496 173382908608 178482405920 189637556290 192211821760 204225060620 216728635760 233400069280 249875368288 265492578806 303420090064 312344210360 326760096992 356964811840 379275112580 408450121240 433457271520 466800138560 499750736576 530985157612 606840180128 624688420720 653520193984 663731447015 758550225160 816900242480 866914543040 1061970315224 1213680360256 1249376841440 1327462894030 1517100450320 1633800484960 2123940630448 2498753682880 2654925788060 3034200900640 3267600969920 4247881260896 5309851576120 6068401801280 8495762521792 10619703152240 21239406304480 42478812608960
• Sum of all divisors σ(n): 134724345638400
• Sum of proper divisors (its aliquot sum) s(n): 92245533029440
• 42478812608960 is an abundant number, because the sum of its proper divisors (92245533029440) is greater than itself. Its abundance is 49766720420480

Bases of 42478812608960

• Binary: 1001101010001001011110100010010011100111000000₂
• Hexadecimal: 0x26A25E8939C0
• Base-36: F22HW98ZK

Squares and roots of 42478812608960

• 42478812608960 squared (42478812608960²) is 1804449520667139081872281600
• 42478812608960 cubed (42478812608960³) is 76650873050747095742166273394403803136000
• The square root of 42478812608960 is 6517577.2039125091
• The cube root of 42478812608960 is 34891.8601304153

Scales and comparisons

• 42,478,812,608,960 seconds is equal to 1,350,694 years, 43 weeks, 6 days, 17 hours, 9 minutes, 20 seconds.
• To count from 1 to 42,478,812,608,960 would take you about three million, three hundred seventy-six thousand, seven hundred thirty-seven 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 42478812608960 cubic inches would be around 2907.7 feet tall.

Recreational maths with 42478812608960

• 42478812608960 backwards is 06980621887424
• 42478812608960 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 42478812608960's digits is 65
• More coming soon!