40744636968109100

Names of 40744636968109100

• Cardinal: 40744636968109100 can be written as Forty quadrillion, seven hundred forty-four trillion, six hundred thirty-six billion, nine hundred sixty-eight million, one hundred nine thousand, one hundred.

Scientific notation

• Scientific notation: 4.07446369681091 × 10¹⁶

Factors of 40744636968109100

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 9
• Sum of prime factors: 38239186

Divisors of 40744636968109100

• Number of divisors d(n): 288
• Complete list of divisors:
  1 2 4 5 10 13 19 20 25 26 38 50 52 65 76 95 100 130 179 190 241 247 260 325 358 380 475 482 494 650 716 895 950 964 988 1205 1235 1300 1790 1900 2327 2410 2470 3133 3401 3580 4475 4579 4654 4820 4940 6025 6175 6266 6802 8950 9158 9308 11635 12050 12350 12532 13604 15665 17005 17900 18316 22895 23270 24100 24700 31330 34010 43139 44213 45790 46540 58175 59527 62660 68020 78325 85025 86278 88426 91580 114475 116350 119054 156650 170050 172556 176852 215695 221065 228950 232700 238108 297635 313300 340100 431390 442130 457900 560807 595270 819641 862780 884260 1078475 1105325 1121614 1190540 1488175 1639282 2156950 2210650 2243228 2804035 2976350 3278564 4098205 4313900 4421300 5608070 5952700 8196410 10655333 11216140 14020175 16392820 20491025 21310666 28040350 38238727 40982050 42621332 53276665 56080700 76477454 81964100 106553330 152954908 191193635 213106660 266383325 382387270 497103451 532766650 726535813 764774540 955968175 994206902 1065533300 1453071626 1911936350 1988413804 2485517255 2906143252 3632679065 3823872700 4971034510 6844732133 7265358130 9215533207 9444965569 9942069020 12427586275 13689464266 14530716260 18163395325 18431066414 18889931138 24855172550 27378928532 34223660665 36326790650 36862132828 37779862276 46077666035 47224827845 49710345100 68447321330 72653581300 88981517729 92155332070 94449655690 119801931691 130049910527 136894642660 171118303325 175095130933 177963035458 184310664140 188899311380 230388330175 236124139225 239603863382 260099821054 342236606650 350190261866 355926070916 444907588645 460776660350 472248278450 479207726764 520199642108 599009658455 650249552635 684473213300 700380523732 875475654665 889815177290 921553320700 944496556900 1198019316910 1300499105270 1649580444053 1690648836851 1750951309330 1779630354580 2224537943225 2276236702129 2396038633820 2600998210540 2995048292275 3251247763175 3299160888106 3381297673702 3501902618660 4377378273325 4449075886450 4552473404258 5990096584550 6502495526350 6598321776212 6762595347404 8247902220265 8453244184255 8754756546650 8898151772900 9104946808516 11381183510645 11980193169100 13004991052700 16495804440530 16906488368510 17509513093300 21444545772689 22762367021290 31342028437007 32991608881060 33812976737020 41239511101325 42266220921275 42889091545378 45524734042580 56905917553225 62684056874014 82479022202650 84532441842550 85778183090756 107222728863445 113811835106450 125368113748028 156710142185035 164958044405300 169064883685100 214445457726890 227623670212900 313420284370070 407446369681091 428890915453780 536113644317225 626840568740140 783550710925175 814892739362182 1072227288634450 1567101421850350 1629785478724364 2037231848405455 2144454577268900 3134202843700700 4074463696810910 8148927393621820 10186159242027275 20372318484054550 40744636968109100
• Sum of all divisors σ(n): 101206655534476800
• Sum of proper divisors (its aliquot sum) s(n): 60462018566367700
• 40744636968109100 is an abundant number, because the sum of its proper divisors (60462018566367700) is greater than itself. Its abundance is 19717381598258600

Bases of 40744636968109100

• Binary: 10010000110000010000100000001100111111001000010000101100₂
• Hexadecimal: 0x90C1080CFC842C
• Base-36: B56RNTJGKRW

Squares and roots of 40744636968109100

• 40744636968109100 squared (40744636968109100²) is 1660125441663002712810429502810000
• 40744636968109100 cubed (40744636968109100³) is 67641208442080827415945546692117803738836571000000
• The square root of 40744636968109100 is 201853008.3206814631
• The cube root of 40744636968109100 is 344104.3405546901

Scales and comparisons

• 40,744,636,968,109,100 seconds is equal to 1,295,553,424 years, 7 weeks, 5 days, 3 hours, 38 minutes, 20 seconds.
• To count from 1 to 40,744,636,968,109,100 would take you about three billion, eight hundred eighty-six million, six hundred sixty thousand, two hundred seventy-two 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 40744636968109100 cubic inches would be around 28675.4 feet tall.

Recreational maths with 40744636968109100

• 40744636968109100 backwards is 00190186963644704
• The number of decimal digits it has is: 17
• The sum of 40744636968109100's digits is 68
• More coming soon!