42084264712320

Names of 42084264712320

• Cardinal: 42084264712320 can be written as Forty-two trillion, eighty-four billion, two hundred sixty-four million, seven hundred twelve thousand, three hundred twenty.

Scientific notation

• Scientific notation: 4.208426471232 × 10¹³

Factors of 42084264712320

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 1542

Divisors of 42084264712320

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 89 90 96 120 128 144 160 178 180 192 223 240 267 288 320 356 360 384 445 446 480 534 547 576 640 669 673 712 720 801 890 892 960 1068 1094 1115 1152 1335 1338 1346 1424 1440 1602 1641 1780 1784 1920 2007 2019 2136 2188 2230 2670 2676 2692 2735 2848 2880 3204 3282 3345 3365 3560 3568 4005 4014 4038 4272 4376 4460 4923 5340 5352 5384 5470 5696 5760 6057 6408 6564 6690 6730 7120 7136 8010 8028 8076 8205 8544 8752 8920 9846 10035 10095 10680 10704 10768 10940 11392 12114 12816 13128 13380 13460 14240 14272 16020 16056 16152 16410 17088 17504 17840 19692 19847 20070 20190 21360 21408 21536 21880 24228 24615 25632 26256 26760 26920 28480 28544 30285 32040 32112 32304 32820 34176 35008 35680 39384 39694 40140 40380 42720 42816 43072 43760 48456 48683 49230 51264 52512 53520 53840 56960 59541 59897 60570 64080 64224 64608 65640 70016 71360 78768 79388 80280 80760 85440 85632 86144 87520 96912 97366 98460 99235 102528 105024 107040 107680 119082 119794 121140 121981 128160 128448 129216 131280 142720 146049 150079 157536 158776 160560 161520 170880 175040 178623 179691 193824 194732 196920 198470 210048 214080 215360 238164 239588 242280 243415 243962 256320 256896 258432 262560 292098 297705 299485 300158 315072 317552 321120 323040 350080 357246 359382 365943 368131 387648 389464 393840 396940 428160 430720 438147 450237 476328 479176 484560 486830 487924 512640 525120 539073 584196 595410 598970 600316 609905 630144 635104 642240 646080 714492 718764 730245 731886 736262 750395 775296 778928 787680 793880 876294 893115 898455 900474 952656 958352 969120 973660 975848 1050240 1078146 1097829 1104393 1168392 1190820 1197940 1200632 1219810 1270208 1284480 1292160 1350711 1428984 1437528 1460490 1463772 1472524 1500790 1557856 1575360 1587760 1752588 1786230 1796910 1800948 1829715 1840655 1905312 1916704 1938240 1947320 1951696 2156292 2190735 2195658 2208786 2251185 2336784 2381640 2395880 2401264 2439620 2540416 2695365 2701422 2857968 2875056 2920980 2927544 2945048 3001580 3115712 3150720 3175520 3313179 3505176 3572460 3593820 3601896 3659430 3681310 3810624 3833408 3876480 3894640 3903392 4312584 4381470 4391316 4417572 4502370 4673568 4763280 4791760 4802528 4879240 5390730 5402844 5489145 5521965 5715936 5750112 5841960 5855088 5890096 6003160 6231424 6351040 6626358 6753555 7010352 7144920 7187640 7203792 7318860 7362620 7621248 7666816 7789280 7806784 8625168 8762940 8782632 8835144 9004740 9347136 9526560 9583520 9605056 9758480 10781460 10805688 10856309 10978290 11043930 11431872 11500224 11683920 11710176 11780192 12006320 12702080 13252716 13357031 13507110 14020704 14289840 14375280 14407584 14637720 14725240 15578560 15613568 16565895 17250336 17525880 17565264 17670288 18009480 18694272 19053120 19167040 19210112 19516960 21562920 21611376 21712618 21956580 22087860 22863744 23000448 23367840 23420352 23560384 24012640 26505432 26714062 27014220 28041408 28579680 28750560 28815168 29275440 29450480 31157120 32568927 32763659 33131790 34500672 35051760 35130528 35340576 36018960 38106240 38334080 39033920 40071093 43125840 43222752 43425236 43913160 44175720 46735680 46840704 47120768 48025280 53010864 53428124 54028440 54281545 56082816 57159360 57501120 57630336 58550880 58900960 65137854 65527318 66263580 66785155 69001344 70103520 70261056 70681152 72037920 78067840 80142186 82093213 86251680 86445504 86850472 87826320 88351440 93471360 96050560 97706781 98290977 106021728 106856248 108056880 108563090 114318720 115002240 117101760 117801920 120213279 130275708 131054636 132527160 133570310 140207040 140522112 141362304 144075840 160284372 162844635 163818295 164186426 172503360 172891008 173700944 175652640 176702880 195413562 196581954 200355465 212043456 213712496 216113760 217126180 234203520 235603840 240426558 246279639 260551416 262109272 265054320 267140620 280414080 288151680 294872931 320568744 325689270 327636590 328372852 345006720 347401888 351305280 353405760 390827124 393163908 400710930 410466065 424086912 427424992 432227520 434252360 480853116 488533905 491454885 492559278 521102832 524218544 530108640 534281240 589745862 601066395 641137488 651378540 655273180 656745704 694803776 702610560 706811520 738838917 781654248 786327816 801421860 820932130 854849984 864455040 868504720 961706232 977067810 982909770 985118556 1042205664 1048437088 1060217280 1068562480 1179491724 1202132790 1231398195 1282274976 1302757080 1310546360 1313491408 1389607552 1474364655 1477677834 1563308496 1572655632 1602843720 1641864260 1709699968 1737009440 1923412464 1954135620 1965819540 1970237112 2084411328 2096874176 2120434560 2137124960 2358983448 2404265580 2462796390 2564549952 2605514160 2621092720 2626982816 2948729310 2955355668 3126616992 3145311264 3205687440 3283728520 3474018880 3694194585 3846824928 3908271240 3931639080 3940474224 4168822656 4193748352 4274249920 4717966896 4808531160 4925592780 5129099904 5211028320 5242185440 5253965632 5897458620 5910711336 6253233984 6290622528 6411374880 6567457040 6948037760 7306295957 7388389170 7693649856 7816542480 7863278160 7880948448 8548499840 9435933792 9617062320 9851185560 10422056640 10484370880 10507931264 11794917240 11821422672 12506467968 12581245056 12822749760 13134914080 14612591914 14776778340 15387299712 15633084960 15726556320 15761896896 18871867584 19234124640 19702371120 20844113280 20968741760 21918887871 23589834480 23642845344 25645499520 26269828160 29225183828 29553556680 31266169920 31453112640 31523793792 36531479785 37743735168 38468249280 39404742240 43837775742 47179668960 47285690688 52539656320 58450367656 59107113360 62532339840 62906225280 65756663613 73062959570 76936498560 78809484480 87675551484 94359337920 94571381376 109594439355 116900735312 118214226720 131513327226 146125919140 157618968960 175351102968 188718675840 219188878710 233801470624 236428453440 263026654452 292251838280 328783318065 350702205936 438377757420 467602941248 472856906880 526053308904 584503676560 657566636130 701404411872 876755514840 935205882496 1052106617808 1169007353120 1315133272260 1402808823744 1753511029680 2104213235616 2338014706240 2630266544520 2805617647488 3507022059360 4208426471232 4676029412480 5260533089040 7014044118720 8416852942464 10521066178080 14028088237440 21042132356160 42084264712320
• Sum of all divisors σ(n): 148103651404800
• Sum of proper divisors (its aliquot sum) s(n): 106019386692480
• 42084264712320 is an abundant number, because the sum of its proper divisors (106019386692480) is greater than itself. Its abundance is 63935121980160

Bases of 42084264712320

• Binary: 1001100100011010000001101001100001100010000000₂
• Hexadecimal: 0x264681A61880
• Base-36: EX18SMJK0

Squares and roots of 42084264712320

• 42084264712320 squared (42084264712320²) is 1771085336376622372359782400
• 42084264712320 cubed (42084264712320³) is 74534824124182086154491033783473799168000
• The square root of 42084264712320 is 6487238.6045466217
• The cube root of 42084264712320 is 34783.4974581507

Scales and comparisons

• 42,084,264,712,320 seconds is equal to 1,338,149 years, 23 weeks, 3 hours, 12 minutes.
• To count from 1 to 42,084,264,712,320 would take you about three million, three hundred forty-five thousand, three hundred seventy-three 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 42084264712320 cubic inches would be around 2898.6 feet tall.

Recreational maths with 42084264712320

• 42084264712320 backwards is 02321746248024
• 42084264712320 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 42084264712320's digits is 45
• More coming soon!