42164913356800

Names of 42164913356800

• Cardinal: 42164913356800 can be written as Forty-two trillion, one hundred sixty-four billion, nine hundred thirteen million, three hundred fifty-six thousand, eight hundred.

Scientific notation

• Scientific notation: 4.21649133568 × 10¹³

Factors of 42164913356800

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 20
• Sum of prime factors: 400

Divisors of 42164913356800

• Number of divisors d(n): 540
• Complete list of divisors:
  1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 128 130 151 160 200 208 229 256 260 302 320 325 400 416 458 512 520 604 640 650 755 800 832 916 1024 1040 1145 1208 1280 1300 1510 1600 1664 1832 1963 2048 2080 2290 2416 2560 2600 2977 3020 3200 3328 3664 3775 3926 4096 4160 4580 4832 5120 5200 5725 5954 6040 6400 6656 7328 7550 7852 8192 8320 9160 9664 9815 10240 10400 11450 11908 12080 12800 13312 14656 14885 15100 15704 16384 16640 18320 19328 19630 20480 20800 22900 23816 24160 25600 26624 29312 29770 30200 31408 33280 34579 36640 38656 39260 40960 41600 45800 47632 48320 49075 51200 52441 53248 58624 59540 60400 62816 66560 69158 73280 74425 77312 78520 81920 83200 91600 95264 96640 98150 102400 104882 106496 117248 119080 120800 125632 133120 138316 146560 148850 154624 157040 166400 172895 183200 190528 193280 196300 204800 209764 212992 234496 238160 241600 251264 262205 266240 276632 293120 297700 309248 314080 332800 345790 366400 381056 386560 392600 409600 419528 449527 468992 476320 483200 502528 524410 532480 553264 586240 595400 618496 628160 665600 681733 691580 732800 762112 773120 785200 839056 864475 899054 937984 952640 966400 1005056 1048820 1064960 1106528 1172480 1190800 1236992 1256320 1311025 1331200 1363466 1383160 1465600 1524224 1546240 1570400 1678112 1728950 1798108 1875968 1905280 1932800 2010112 2097640 2213056 2247635 2344960 2381600 2473984 2512640 2622050 2662400 2726932 2766320 2931200 3048448 3092480 3140800 3356224 3408665 3457900 3596216 3751936 3810560 3865600 4020224 4195280 4426112 4495270 4689920 4763200 5025280 5244100 5324800 5453864 5532640 5862400 6096896 6184960 6281600 6712448 6817330 6915800 7192432 7621120 7731200 7918591 8040448 8390560 8852224 8990540 9379840 9526400 10050560 10488200 10907728 11065280 11238175 11724800 12193792 12369920 12563200 13424896 13634660 13831600 14384864 15242240 15462400 15837182 16080896 16781120 17043325 17704448 17981080 18759680 19052800 20101120 20976400 21815456 22130560 22476350 23449600 24387584 25126400 26849792 27269320 27663200 28769728 30484480 30924800 31674364 32161792 33562240 34086650 35408896 35962160 38105600 39592955 40202240 41952800 43630912 44261120 44952700 46899200 48775168 50252800 53699584 54538640 55326400 57539456 60968960 61849600 63348728 67124480 68173300 70817792 71924320 76211200 79185910 80404480 83905600 87261824 88522240 89905400 93798400 100505600 102941683 107399168 109077280 110652800 115078912 121937920 126697456 134248960 136346600 141635584 143848640 152422400 158371820 160808960 167811200 174523648 177044480 179810800 197964775 201011200 205883366 214798336 218154560 221305600 230157824 243875840 253394912 268497920 272693200 283271168 287697280 304844800 316743640 335622400 349047296 354088960 359621600 395929550 402022400 411766732 429596672 436309120 442611200 460315648 506789824 514708415 536995840 545386400 566542336 575394560 609689600 633487280 671244800 698094592 708177920 719243200 791859100 804044800 823533464 859193344 872618240 885222400 920631296 1013579648 1029416830 1073991680 1090772800 1150789120 1219379200 1266974560 1342489600 1396189184 1416355840 1438486400 1583718200 1647066928 1745236480 1770444800 1841262592 2027159296 2058833660 2147983360 2181545600 2301578240 2533949120 2573542075 2684979200 2792378368 2832711680 2876972800 3167436400 3294133856 3490472960 3540889600 3682525184 4054318592 4117667320 4295966720 4363091200 4603156480 5067898240 5147084150 5369958400 5584756736 5753945600 6334872800 6588267712 6980945920 7081779200 7365050368 8108637184 8235334640 8726182400 9206312960 10135796480 10294168300 10739916800 11169513472 11507891200 12669745600 13176535424 13961891840 14163558400 16217274368 16470669280 17452364800 18412625920 20271592960 20588336600 21479833600 23015782400 25339491200 26353070848 27923783680 32434548736 32941338560 34904729600 36825251840 40543185920 41176673200 46031564800 50678982400 52706141696 55847567360 64869097472 65882677120 69809459200 81086371840 82353346400 92063129600 101357964800 105412283392 129738194944 131765354240 139618918400 162172743680 164706692800 184126259200 202715929600 210824566784 263530708480 279237836800 324345487360 329413385600 405431859200 421649133568 527061416960 648690974720 658826771200 810863718400 843298267136 1054122833920 1317653542400 1621727436800 1686596534272 2108245667840 2635307084800 3243454873600 4216491335680 5270614169600 8432982671360 10541228339200 21082456678400 42164913356800
• Sum of all divisors σ(n): 113852235500976
• Sum of proper divisors (its aliquot sum) s(n): 71687322144176
• 42164913356800 is an abundant number, because the sum of its proper divisors (71687322144176) is greater than itself. Its abundance is 29522408787376

Bases of 42164913356800

• Binary: 1001100101100101001000101011101100000000000000₂
• Hexadecimal: 0x265948AEC000
• Base-36: EY2AKQVWG

Squares and roots of 42164913356800

• 42164913356800 squared (42164913356800²) is 1777879918386451044106240000
• 42164913356800 cubed (42164913356800³) is 74964152717559363533784504894226432000000
• The square root of 42164913356800 is 6493451.5749946115
• The cube root of 42164913356800 is 34805.7025261073

Scales and comparisons

• 42,164,913,356,800 seconds is equal to 1,340,713 years, 42 weeks, 4 days, 12 hours, 26 minutes, 40 seconds.
• To count from 1 to 42,164,913,356,800 would take you about three million, three hundred fifty-one thousand, seven hundred eighty-four 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 42164913356800 cubic inches would be around 2900.5 feet tall.

Recreational maths with 42164913356800

• 42164913356800 backwards is 00865331946124
• 42164913356800 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 42164913356800's digits is 52
• More coming soon!