400221331456000

Names of 400221331456000

• Cardinal: 400221331456000 can be written as Four hundred trillion, two hundred twenty-one billion, three hundred thirty-one million, four hundred fifty-six thousand.

Scientific notation

• Scientific notation: 4.00221331456 × 10¹⁴

Factors of 400221331456000

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 22
• Sum of prime factors: 701

Divisors of 400221331456000

• Number of divisors d(n): 408
• Complete list of divisors:
  1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 263 320 400 431 500 512 526 640 800 862 1000 1024 1052 1280 1315 1600 1724 2000 2048 2104 2155 2560 2630 3200 3448 4000 4096 4208 4310 5120 5260 6400 6575 6896 8000 8192 8416 8620 10240 10520 10775 12800 13150 13792 16000 16384 16832 17240 20480 21040 21550 25600 26300 27584 32000 32768 32875 33664 34480 40960 42080 43100 51200 52600 53875 55168 64000 65536 65750 67328 68960 81920 84160 86200 102400 105200 107750 110336 113353 128000 131500 134656 137920 163840 168320 172400 185761 204800 210400 215500 220672 226706 256000 263000 269312 275840 327680 336640 344800 371522 409600 420800 431000 441344 453412 512000 526000 538624 551680 566765 673280 689600 743044 819200 841600 862000 882688 906824 928805 1024000 1052000 1077248 1103360 1133530 1346560 1379200 1486088 1638400 1683200 1724000 1765376 1813648 1857610 2048000 2104000 2154496 2206720 2267060 2693120 2758400 2833825 2972176 3366400 3448000 3530752 3627296 3715220 4096000 4208000 4308992 4413440 4534120 4644025 5386240 5516800 5667650 5944352 6732800 6896000 7061504 7254592 7430440 8192000 8416000 8617984 8826880 9068240 9288050 10772480 11033600 11335300 11888704 13465600 13792000 14123008 14169125 14509184 14860880 16832000 17235968 17653760 18136480 18576100 21544960 22067200 22670600 23220125 23777408 26931200 27584000 28246016 28338250 29018368 29721760 33664000 35307520 36272960 37152200 43089920 44134400 45341200 46440250 47554816 48855143 53862400 55168000 56676500 58036736 59443520 67328000 70615040 72545920 74304400 86179840 88268800 90682400 92880500 95109632 97710286 107724800 110336000 113353000 116073472 118887040 134656000 141230080 145091840 148608800 176537600 181364800 185761000 190219264 195420572 215449600 220672000 226706000 232146944 237774080 244275715 269312000 290183680 297217600 353075200 362729600 371522000 380438528 390841144 430899200 441344000 453412000 464293888 475548160 488551430 538624000 580367360 594435200 706150400 725459200 743044000 760877056 781682288 882688000 906824000 928587776 951096320 977102860 1077248000 1160734720 1188870400 1221378575 1450918400 1486088000 1521754112 1563364576 1765376000 1813648000 1857175552 1902192640 1954205720 2154496000 2321469440 2377740800 2442757150 2901836800 2972176000 3043508224 3126729152 3530752000 3627296000 3714351104 3804385280 3908411440 4642938880 4755481600 4885514300 5803673600 5944352000 6087016448 6106892875 6253458304 7254592000 7428702208 7608770560 7816822880 9285877760 9510963200 9771028600 11607347200 11888704000 12174032896 12213785750 12506916608 14509184000 15217541120 15633645760 18571755520 19021926400 19542057200 23214694400 23777408000 24427571500 25013833216 29018368000 30435082240 31267291520 37143511040 38043852800 39084114400 46429388800 47554816000 48855143000 50027666432 58036736000 60870164480 62534583040 76087705600 78168228800 92858777600 95109632000 97710286000 100055332864 116073472000 125069166080 152175411200 156336457600 185717555200 190219264000 195420572000 200110665728 232146944000 250138332160 304350822400 312672915200 380438528000 390841144000 400221331456 464293888000 500276664320 625345830400 760877056000 781682288000 800442662912 928587776000 1000553328640 1250691660800 1521754112000 1563364576000 1600885325824 2001106657280 2501383321600 3126729152000 3201770651648 4002213314560 5002766643200 6253458304000 8004426629120 10005533286400 12506916608000 16008853258240 20011066572800 25013833216000 40022133145600 50027666432000 80044266291200 100055332864000 200110665728000 400221331456000
• Sum of all divisors σ(n): 1005075039320352
• Sum of proper divisors (its aliquot sum) s(n): 604853707864352
• 400221331456000 is an abundant number, because the sum of its proper divisors (604853707864352) is greater than itself. Its abundance is 204632376408352

Bases of 400221331456000

• Binary: 1011010111111111111001010010010110000000000000000₂
• Hexadecimal: 0x16BFFCA4B0000
• Base-36: 3XV753C934

Squares and roots of 400221331456000

• 400221331456000 squared (400221331456000²) is 160177114152413415079936000000
• 400221331456000 cubed (400221331456000³) is 64106297894858597899047974591266816000000000
• The square root of 400221331456000 is 20005532.5211802347
• The cube root of 400221331456000 is 73694.2173346161

Scales and comparisons

• 400,221,331,456,000 seconds is equal to 12,725,800 years, 19 weeks, 3 days, 7 hours, 6 minutes, 40 seconds.
• To count from 1 to 400,221,331,456,000 would take you about thirty-one million, eight hundred fourteen thousand, five hundred 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 400221331456000 cubic inches would be around 6141.2 feet tall.

Recreational maths with 400221331456000

• 400221331456000 backwards is 000654133122004
• The number of decimal digits it has is: 15
• The sum of 400221331456000's digits is 31
• More coming soon!