40168721844660800

Names of 40168721844660800

• Cardinal: 40168721844660800 can be written as Forty quadrillion, one hundred sixty-eight trillion, seven hundred twenty-one billion, eight hundred forty-four million, six hundred sixty thousand, eight hundred.

Scientific notation

• Scientific notation: 4.01687218446608 × 10¹⁶

Factors of 40168721844660800

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 2538

Divisors of 40168721844660800

• Number of divisors d(n): 378
• Complete list of divisors:
  1 2 4 5 8 10 16 17 20 25 32 34 40 50 64 68 80 85 100 136 160 170 200 272 320 340 400 425 544 653 680 800 850 1088 1306 1360 1600 1700 1861 2612 2720 3265 3400 3722 5224 5440 6530 6800 7444 9305 10448 11101 13060 13600 14888 16325 18610 20896 22202 26120 27200 29776 31637 32650 37220 41792 44404 46525 52240 55505 59552 63274 65300 74440 88808 93050 104480 111010 119104 126548 130600 148880 158185 177616 186100 208960 222020 253096 261200 277525 297760 316370 355232 372200 426409 444040 506192 522400 555050 595520 632740 710464 744400 790925 852818 888080 1012384 1044800 1110100 1215233 1265480 1488800 1581850 1705636 1776160 2024768 2132045 2220200 2430466 2530960 2977600 3163700 3411272 3463321 3552320 4264090 4440400 4860932 5061920 6076165 6327400 6822544 6926642 7248953 8528180 8880800 9721864 10123840 10660225 12152330 12654800 13645088 13853284 14497906 17056360 17316605 17761600 19443728 20658961 21320450 24304660 25309600 27290176 27706568 28995812 30380825 34112720 34633210 36244765 38887456 41317922 42640900 48609320 50619200 55413136 57991624 58876457 60761650 68225440 69266420 72489530 77774912 82635844 85281800 86583025 97218640 103294805 110826272 115983248 117752914 121523300 136450880 138532840 144979060 165271688 170563600 173166050 181223825 194437280 206589610 221652544 231966496 235505828 243046600 277065680 289958120 294382285 330543376 341127200 346332100 362447650 388874560 413179220 463932992 471011656 486093200 516474025 554131360 579916240 588764570 661086752 682254400 692664200 724895300 793547149 826358440 942023312 972186400 1032948050 1108262720 1159832480 1177529140 1322173504 1385328400 1449790600 1471911425 1587094298 1652716880 1884046624 1944372800 2065896100 2261548613 2319664960 2355058280 2770656800 2899581200 2943822850 3174188596 3305433760 3768093248 3967735745 4131792200 4523097226 4710116560 5541313600 5799162400 5887645700 6348377192 6610867520 7935471490 8263584400 9046194452 9420233120 11307743065 11598324800 11775291400 12696754384 13490301533 15870942980 16527168800 18092388904 18840466240 19838678725 22615486130 23550582800 25393508768 26980603066 31741885960 33054337600 36184777808 38446326421 39677357450 45230972260 47101165600 50787017536 53961206132 56538715325 63483771920 67451507665 72369555616 76892652842 79354714900 90461944520 94202331200 107922412264 113077430650 126967543840 134903015330 144739111232 153785305684 158709429800 180923889040 192231632105 215844824528 226154861300 253935087680 269806030660 307570611368 317418859600 337257538325 361847778080 384463264210 431689649056 452309722600 539612061320 615141222736 634837719200 674515076650 723695556160 768926528420 863379298112 904619445200 961158160525 1079224122640 1230282445472 1269675438400 1349030153300 1476791244289 1537853056840 1809238890400 1922316321050 2158448245280 2460564890944 2698060306600 2953582488578 3075706113680 3618477780800 3844632642100 4316896490560 5396120613200 5907164977156 6151412227360 7383956221445 7689265284200 10792241226400 11814329954312 12302824454720 14767912442890 15378530568400 21584482452800 23628659908624 25105451152913 29535824885780 30757061136800 36919781107225 47257319817248 50210902305826 59071649771560 61514122273600 73839562214450 94514639634496 100421804611652 118143299543120 125527255764565 147679124428900 200843609223304 236286599086240 251054511529130 295358248857800 401687218446608 472573198172480 502109023058260 590716497715600 627636278822825 803374436893216 1004218046116520 1181432995431200 1255272557645650 1606748873786432 2008436092233040 2362865990862400 2510545115291300 4016872184466080 5021090230582600 8033744368932160 10042180461165200 20084360922330400 40168721844660800
• Sum of all divisors σ(n): 104871152680590114
• Sum of proper divisors (its aliquot sum) s(n): 64702430835929314
• 40168721844660800 is an abundant number, because the sum of its proper divisors (64702430835929314) is greater than itself. Its abundance is 24533708991268514

Bases of 40168721844660800

• Binary: 10001110101101010011110101011100101000011110101001000000₂
• Hexadecimal: 0x8EB53D5CA1EA40
• Base-36: AZIMG2CNARK

Squares and roots of 40168721844660800

• 40168721844660800 squared (40168721844660800²) is 1613526214633729743125467056640000
• 40168721844660800 cubed (40168721844660800³) is 64813285704690750514506426005014861875187712000000
• The square root of 40168721844660800 is 200421360.7494490593
• The cube root of 40168721844660800 is 342475.3653254329

Scales and comparisons

• 40,168,721,844,660,800 seconds is equal to 1,277,241,104 years, 33 weeks, 3 days, 23 hours, 33 minutes, 20 seconds.
• To count from 1 to 40,168,721,844,660,800 would take you about three billion, eight hundred thirty-one million, seven hundred twenty-three thousand, three hundred thirteen 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 40168721844660800 cubic inches would be around 28539.6 feet tall.

Recreational maths with 40168721844660800

• 40168721844660800 backwards is 00806644812786104
• The number of decimal digits it has is: 17
• The sum of 40168721844660800's digits is 65
• More coming soon!