54242867916800

Names of 54242867916800

• Cardinal: 54242867916800 can be written as Fifty-four trillion, two hundred forty-two billion, eight hundred sixty-seven million, nine hundred sixteen thousand, eight hundred.

Scientific notation

• Scientific notation: 5.42428679168 × 10¹³

Factors of 54242867916800

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 7377

Divisors of 54242867916800

• Number of divisors d(n): 624
• Complete list of divisors:
  1 2 4 5 8 10 16 20 23 25 31 32 40 46 50 62 64 80 92 100 103 115 124 128 155 160 184 200 206 230 248 256 310 320 368 400 412 460 496 512 515 575 620 640 713 736 775 800 824 920 992 1024 1030 1150 1240 1280 1426 1472 1550 1600 1648 1840 1984 2048 2060 2300 2369 2480 2560 2575 2852 2944 3100 3193 3200 3296 3565 3680 3968 4096 4120 4600 4738 4960 5120 5150 5704 5888 6200 6386 6400 6592 7130 7213 7360 7936 8240 9200 9476 9920 10240 10300 11408 11776 11845 12400 12772 12800 13184 14260 14426 14720 15872 15965 16480 17825 18400 18952 19840 20480 20600 22816 23552 23690 24800 25544 25600 26368 28520 28852 29440 31744 31930 32960 35650 36065 36800 37904 39680 41200 45632 47104 47380 49600 51088 51200 52736 57040 57704 58880 59225 63488 63860 65920 71300 72130 73439 73600 75808 79360 79825 82400 91264 94208 94760 99200 102176 102400 105472 114080 115408 117760 118450 126976 127720 131840 142600 144260 146878 147200 151616 158720 159650 164800 165899 180325 182528 189520 198400 204352 210944 223603 228160 230816 235520 236900 255440 263680 285200 288520 293756 294400 303232 317440 319300 329600 331798 360650 365056 367195 379040 396800 408704 421888 447206 456320 461632 471040 473800 510880 527360 570400 577040 587512 588800 606464 634880 638600 659200 663596 721300 730112 734390 742939 758080 793600 817408 829495 894412 912640 923264 947600 1021760 1054720 1118015 1140800 1154080 1175024 1177600 1212928 1277200 1318400 1327192 1442600 1460224 1468780 1485878 1516160 1587200 1634816 1658990 1788824 1825280 1835975 1846528 1895200 2043520 2109440 2236030 2281600 2308160 2350048 2355200 2425856 2554400 2636800 2654384 2885200 2920448 2937560 2971756 3032320 3174400 3269632 3317980 3577648 3650560 3671950 3693056 3714695 3790400 4087040 4147475 4472060 4563200 4616320 4700096 4851712 5108800 5142869 5273600 5308768 5590075 5770400 5875120 5943512 6064640 6539264 6635960 7155296 7301120 7343900 7386112 7429390 7580800 8174080 8294950 8944120 9126400 9232640 9400192 9703424 10217600 10285738 10547200 10617536 11180150 11540800 11750240 11887024 12129280 13078528 13271920 14310592 14602240 14687800 14772224 14858780 15161600 16348160 16589900 17087597 17888240 18252800 18465280 18573475 18800384 20435200 20571476 21235072 22360300 23031109 23081600 23500480 23774048 24258560 25714345 26543840 28621184 29375600 29544448 29717560 30323200 32696320 33179800 34175194 35776480 36505600 36930560 37146950 37600768 40870400 41142952 42470144 44720600 46062218 46163200 47000960 47548096 48517120 51428690 53087680 57242368 58751200 59435120 60646400 65392640 66359600 68350388 71552960 73011200 73861120 74293900 75201536 81740800 82285904 84940288 85437985 89441200 92124436 92326400 94001920 95096192 102857380 106175360 114484736 115155545 117502400 118870240 121292800 128571725 132719200 136700776 143105920 147722240 148587800 150403072 163481600 164571808 169880576 170875970 178882400 184248872 184652800 188003840 190192384 205714760 212350720 228969472 230311090 235004800 237740480 242585600 257143450 265438400 273401552 286211840 297175600 300806144 326963200 329143616 339761152 341751940 357764800 368497744 369305600 376007680 380384768 411429520 424701440 427189925 457938944 460622180 470009600 475480960 514286900 529715507 530876800 546803104 572423680 575777725 594351200 658287232 679522304 683503880 715529600 736995488 738611200 752015360 760769536 822859040 849402880 854379850 915877888 921244360 940019200 950961920 1028573800 1059431014 1061753600 1093606208 1144847360 1151555450 1188702400 1316574464 1367007760 1431059200 1473990976 1504030720 1521539072 1645718080 1698805760 1708759700 1842488720 1880038400 1901923840 2057147600 2118862028 2123507200 2187212416 2289694720 2303110900 2377404800 2633148928 2648577535 2734015520 2862118400 2947981952 3043078144 3291436160 3397611520 3417519400 3684977440 3760076800 3803847680 4114295200 4237724056 4247014400 4374424832 4579389440 4606221800 4754809600 5266297856 5297155070 5468031040 5724236800 5895963904 6582872320 6835038800 7369954880 7520153600 7607695360 8228590400 8475448112 8494028800 8748849664 9212443600 9509619200 10532595712 10594310140 10936062080 11448473600 11791927808 13165744640 13242887675 13670077600 14739909760 15215390720 16457180800 16950896224 16988057600 17497699328 18424887200 19019238400 21065191424 21188620280 21872124160 22896947200 23583855616 26331489280 26485775350 27340155200 29479819520 32914361600 33901792448 34995398656 36849774400 38038476800 42377240560 43744248320 47167711232 52662978560 52971550700 54680310400 58959639040 65828723200 67803584896 69990797312 73699548800 76076953600 84754481120 87488496640 94335422464 105325957120 105943101400 109360620800 117919278080 131657446400 135607169792 147399097600 169508962240 174976993280 211886202800 218721241600 235838556160 263314892800 271214339584 294798195200 339017924480 349953986560 423772405600 437442483200 471677112320 526629785600 542428679168 589596390400 678035848960 847544811200 874884966400 1084857358336 1179192780800 1356071697920 1695089622400 1749769932800 2169714716672 2358385561600 2712143395840 3390179244800 5424286791680 6780358489600 10848573583360 13560716979200 27121433958400 54242867916800
• Sum of all divisors σ(n): 146308418899968
• Sum of proper divisors (its aliquot sum) s(n): 92065550983168
• 54242867916800 is an abundant number, because the sum of its proper divisors (92065550983168) is greater than itself. Its abundance is 37822683066368

Bases of 54242867916800

• Binary: 1100010101010101100110110111111011000000000000₂
• Hexadecimal: 0x315566DFB000
• Base-36: J86TV1QM8

Squares and roots of 54242867916800

• 54242867916800 squared (54242867916800²) is 2942288719839410771722240000
• 54242867916800 cubed (54242867916800³) is 159598178403339718197668620777029632000000
• The square root of 54242867916800 is 7364975.7580592213
• The cube root of 54242867916800 is 37854.2123859965

Scales and comparisons

• 54,242,867,916,800 seconds is equal to 1,724,755 years, 21 weeks, 4 days, 6 hours, 13 minutes, 20 seconds.
• To count from 1 to 54,242,867,916,800 would take you about four million, three hundred eleven thousand, eight hundred eighty-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 54242867916800 cubic inches would be around 3154.5 feet tall.

Recreational maths with 54242867916800

• 54242867916800 backwards is 00861976824245
• 54242867916800 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 54242867916800's digits is 62
• More coming soon!