40768232796506880

Names of 40768232796506880

• Cardinal: 40768232796506880 can be written as Forty quadrillion, seven hundred sixty-eight trillion, two hundred thirty-two billion, seven hundred ninety-six million, five hundred six thousand, eight hundred eighty.

Scientific notation

• Scientific notation: 4.076823279650688 × 10¹⁶

Factors of 40768232796506880

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 20
• Sum of prime factors: 328

Divisors of 40768232796506880

• Number of divisors d(n): 1512
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 49 56 60 63 64 70 72 80 84 90 96 98 105 112 120 126 128 140 144 147 160 168 180 192 196 210 224 240 245 252 256 280 288 294 311 315 320 336 343 360 384 392 420 441 448 480 490 504 560 576 588 622 630 640 672 686 720 735 768 784 840 882 896 933 960 980 1008 1029 1120 1152 1176 1244 1260 1280 1344 1372 1440 1470 1555 1568 1680 1715 1764 1792 1866 1920 1960 2016 2058 2177 2205 2240 2304 2352 2401 2488 2520 2688 2744 2799 2880 2940 3087 3110 3136 3360 3430 3528 3732 3840 3920 4032 4116 4354 4410 4480 4665 4704 4802 4976 5040 5145 5376 5488 5598 5760 5880 6174 6220 6272 6531 6720 6860 7056 7203 7464 7840 8064 8232 8708 8820 8960 9330 9408 9604 9952 10080 10290 10885 10976 11196 11520 11760 12005 12348 12440 12544 13062 13440 13720 13995 14112 14406 14928 15239 15435 15680 16128 16464 16807 17416 17640 18660 18816 19208 19593 19904 20160 20580 21609 21770 21952 22392 23520 24010 24696 24880 26124 26880 27440 27990 28224 28812 29856 30478 30870 31360 32655 32928 33614 34832 35280 36015 37320 37632 38416 39186 39808 40320 41160 43218 43540 43904 44784 45717 47040 48020 49392 49760 50421 52248 54880 55980 56448 57624 59712 60956 61740 62720 65310 65856 67228 69664 70560 72030 74640 76195 76832 78372 79616 80640 82320 84035 86436 87080 87808 89568 91434 94080 96040 96721 97965 98784 99520 100842 104496 106673 108045 109760 111960 112896 115248 117649 119424 121912 123480 130620 131712 134456 137151 139328 141120 144060 149280 151263 152390 153664 156744 164640 168070 172872 174160 179136 182868 188160 192080 193442 195930 197568 199040 201684 208992 213346 216090 219520 223920 228585 230496 235298 238848 243824 246960 252105 261240 263424 268912 274302 278656 282240 288120 290163 298560 302526 304780 307328 313488 320019 329280 336140 345744 348320 352947 358272 365736 384160 386884 391860 395136 398080 403368 417984 426692 432180 439040 447840 457170 460992 470596 483605 487648 493920 504210 522480 533365 537824 548604 557312 564480 576240 580326 588245 597120 605052 609560 614656 626976 640038 658560 672280 677047 685755 691488 696640 705894 716544 731472 746711 756315 768320 773768 783720 790272 806736 835968 853384 864360 870489 895680 914340 921984 941192 960057 967210 975296 987840 1008420 1044960 1058841 1066730 1075648 1097208 1152480 1160652 1176490 1194240 1210104 1219120 1253952 1280076 1317120 1344560 1354094 1371510 1382976 1393280 1411788 1450815 1462944 1493422 1512630 1536640 1547536 1567440 1600095 1613472 1671936 1706768 1728720 1740978 1764735 1791360 1828680 1843968 1882384 1920114 1934420 1950592 1975680 2016840 2031141 2089920 2117682 2133460 2151296 2194416 2240133 2304960 2321304 2352980 2420208 2438240 2507904 2560152 2689120 2708188 2743020 2765952 2786560 2823576 2901630 2925888 2986844 3025260 3073280 3095072 3134880 3200190 3226944 3385235 3413536 3457440 3481956 3529470 3582720 3657360 3733555 3764768 3840228 3868840 3901184 3951360 4033680 4062282 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585212344920 606417456960 619051153980 624226501248 650003711679 660321230912 668814108480 682747735740 707487033120 722226346310 728264251456 742861384776 780283126560 808556609280 819297282888 825401538640 848984439744 866671615572 891752144640 910330314320 928576730970 936339751872 943316044160 990481846368 1011116884834 1024121603610 1040377502080 1061230549680 1083339519465 1092396377184 1131979252992 1155562154096 1170424689840 1212834913920 1238102307960 1248453002496 1300007423358 1320642461824 1337628216960 1365495471480 1414974066240 1444452692620 1456528502912 1485722769552 1516675327251 1560566253120 1638594565776 1650803077280 1697968879488 1733343231144 1820660628640 1857153461940 1872679503744 1886632088320 1980963692736 2022233769668 2048243207220 2080755004160 2122461099360 2166679038930 2184792754368 2311124308192 2340849379680 2425669827840 2476204615920 2527792212085 2600014846716 2641284923648 2675256433920 2730990942960 2829948132480 2888905385240 2913057005824 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18488994465536 18726795037440 19809636927360 20222337696680 20800118773728 21233454581514 21847927543680 22750129908765 23111243081920 23771564312832 24266805236016 26000148467160 26217513052416 27733491698304 28311272775352 29714455391040 30333506545020 31850181872271 32355740314688 32771891315520 34666864622880 35389090969190 36400207854024 39619273854720 40444675393360 41600237547456 42466909163028 43695855087360 45500259817530 46222486163840 48533610472032 52000296934320 53083636453785 55466983396608 56622545550704 59428910782080 60667013090040 63700363744542 64711480629376 65543782631040 69333729245760 70778181938380 72800415708048 80889350786720 83200475094912 84933818326056 91000519635060 92444972327680 97067220944064 104000593868640 106167272907570 113245091101408 118857821564160 121334026180080 127400727489084 129422961258752 131087565262080 138667458491520 141556363876760 145600831416096 159250909361355 161778701573440 166400950189824 169867636652112 182001039270120 194134441888128 208001187737280 212334545815140 226490182202816 242668052360160 254801454978168 277334916983040 283112727753520 291201662832192 318501818722710 323557403146880 339735273304224 364002078540240 388268883776256 416002375474560 424669091630280 452980364405632 485336104720320 509602909956336 566225455507040 582403325664384 637003637445420 647114806293760 679470546608448 728004157080480 832004750949120 849338183260560 905960728811264 970672209440640 1019205819912672 1132450911014080 1164806651328768 1274007274890840 1358941093216896 1456008314160960 1698676366521120 1941344418881280 2038411639825344 2264901822028160 2548014549781680 2717882186433792 2912016628321920 3397352733042240 4076823279650688 4529803644056320 5096029099563360 5824033256643840 6794705466084480 8153646559301376 10192058199126720 13589410932168960 20384116398253440 40768232796506880
• Sum of all divisors σ(n): 165093459210991584
• Sum of proper divisors (its aliquot sum) s(n): 124325226414484704
• 40768232796506880 is an abundant number, because the sum of its proper divisors (124325226414484704) is greater than itself. Its abundance is 83556993617977824

Bases of 40768232796506880

• Binary: 10010000110101100111110111100001111101001100101100000000₂
• Hexadecimal: 0x90D67DE1F4CB00
• Base-36: B5F4RLEGN40

Squares and roots of 40768232796506880

• 40768232796506880 squared (40768232796506880²) is 1662048805350179181295529887334400
• 40768232796506880 cubed (40768232796506880³) is 67758792615672254461824750144439549288274460672000
• The square root of 40768232796506880 is 201911447.9084999281
• The cube root of 40768232796506880 is 344170.7530588319

Scales and comparisons

• 40,768,232,796,506,880 seconds is equal to 1,296,303,698 years, 26 weeks, 1 day, 20 hours, 48 minutes.
• To count from 1 to 40,768,232,796,506,880 would take you about three billion, eight hundred eighty-eight million, nine hundred eleven thousand and ninety-five 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 40768232796506880 cubic inches would be around 28680.9 feet tall.

Recreational maths with 40768232796506880

• 40768232796506880 backwards is 08860569723286704
• The number of decimal digits it has is: 17
• The sum of 40768232796506880's digits is 81
• More coming soon!