40405107003835904

Names of 40405107003835904

• Cardinal: 40405107003835904 can be written as Forty quadrillion, four hundred five trillion, one hundred seven billion, three million, eight hundred thirty-five thousand, nine hundred four.

Scientific notation

• Scientific notation: 4.0405107003835904 × 10¹⁶

Factors of 40405107003835904

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 401733

Divisors of 40405107003835904

• Number of divisors d(n): 320
• Complete list of divisors:
  1 2 4 8 11 16 22 32 37 44 64 74 88 128 148 176 256 296 352 407 512 592 691 701 704 814 1184 1382 1402 1408 1628 2368 2764 2804 2816 3256 4736 5528 5608 5632 6512 7601 7711 9472 11056 11216 13024 15202 15422 18944 22112 22432 25567 25937 26048 30404 30844 44224 44864 51134 51874 52096 60808 61688 88448 89728 102268 103748 104192 121616 123376 176896 179456 204536 207496 208384 243232 246752 281237 285307 353792 358912 400291 409072 414992 484391 486464 493504 562474 570614 800582 818144 829984 968782 972928 987008 1124948 1141228 1601164 1636288 1659968 1937564 1945856 1974016 2249896 2282456 3202328 3272576 3319936 3875128 3891712 3948032 4403201 4499792 4564912 5328301 6404656 6545152 6639872 7750256 8806402 8999584 9129824 10656602 12809312 13090304 13279744 14810767 15500512 17612804 17922467 17999168 18259648 21313204 25618624 29621534 31001024 35225608 35844934 35998336 36519296 42626408 51237248 59243068 62002048 70451216 71689868 71996672 73038592 85252816 102474496 118486136 124004096 140902432 143379736 143993344 146077184 162918437 170505632 197147137 204948992 236972272 248008192 276601081 280603991 281804864 286759472 325836874 341011264 394294274 473944544 553202162 561207982 563609728 573518944 651673748 682022528 788588548 947889088 1106404324 1122415964 1127219456 1147037888 1303347496 1364045056 1577177096 1895778176 2212808648 2244831928 2254438912 2294075776 2606694992 2728090112 3042611891 3086643901 3154354192 3791556352 4425617296 4489663856 4588151552 5213389984 6085223782 6173287802 6308708384 7583112704 8851234592 8979327712 9176303104 10234239997 10382347667 10426779968 12170447564 12346575604 12617416768 17702469184 17958655424 20468479994 20764695334 20853559936 24340895128 24693151208 25234833536 35404938368 35917310848 40936959988 41529390668 41707119872 48681790256 49386302416 50469667072 70809876736 71834621696 81873919976 83058781336 83414239744 97363580512 98772604832 100939334144 112576639967 114205824337 141619753472 143669243392 163747839952 166117562672 193897357781 194727161024 197545209664 225153279934 228411648674 327495679904 332235125344 387794715562 389454322048 395090419328 450306559868 456823297348 654991359808 664470250688 775589431124 778908644096 790180838656 900613119736 913646594696 1309982719616 1328940501376 1551178862248 1557817288192 1580361677312 1801226239472 1827293189392 2132870935591 2619965439232 2657881002752 3102357724496 3602452478944 3654586378784 4265741871182 5239930878464 5315762005504 6204715448992 7174202237897 7204904957888 7309172757568 8531483742364 12409430897984 14348404475794 14409809915776 14618345515136 17062967484728 24818861795968 28696808951588 28819619831552 29236691030272 34125934969456 49637723591936 57393617903176 57639239663104 58473382060544 68251869938912 78916224616867 99275447183872 114787235806352 136503739877824 157832449233734 229574471612704 273007479755648 315664898467468 459148943225408 546014959511296 631329796934936 918297886450816 1092029919022592 1262659593869872 1836595772901632 2525319187739744 3673191545803264 5050638375479488 10101276750958976 20202553501917952 40405107003835904
• Sum of all divisors σ(n): 90711133459524864
• Sum of proper divisors (its aliquot sum) s(n): 50306026455688960
• 40405107003835904 is an abundant number, because the sum of its proper divisors (50306026455688960) is greater than itself. Its abundance is 9900919451853056

Bases of 40405107003835904

• Binary: 10001111100011000011101100010010000100110100011000000000₂
• Hexadecimal: 0x8F8C3B12134600
• Base-36: B1UEXWP4WE8

Squares and roots of 40405107003835904

• 40405107003835904 squared (40405107003835904²) is 1632572671991429223138170159497216
• 40405107003835904 cubed (40405107003835904³) is 65964273503351992886607252401444678149608008843264
• The square root of 40405107003835904 is 201010216.1678254203
• The cube root of 40405107003835904 is 343145.8522411115

Scales and comparisons

• 40,405,107,003,835,904 seconds is equal to 1,284,757,421 years, 27 weeks, 6 hours, 51 minutes, 44 seconds.
• To count from 1 to 40,405,107,003,835,904 would take you about three billion, eight hundred fifty-four million, two hundred seventy-two thousand, two hundred sixty-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 40405107003835904 cubic inches would be around 28595.5 feet tall.

Recreational maths with 40405107003835904

• 40405107003835904 backwards is 40953830070150404
• The number of decimal digits it has is: 17
• The sum of 40405107003835904's digits is 53
• More coming soon!