40445947232491680

Names of 40445947232491680

• Cardinal: 40445947232491680 can be written as Forty quadrillion, four hundred forty-five trillion, nine hundred forty-seven billion, two hundred thirty-two million, four hundred ninety-one thousand, six hundred eighty.

Scientific notation

• Scientific notation: 4.044594723249168 × 10¹⁶

Factors of 40445947232491680

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 305178591

Divisors of 40445947232491680

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 27 30 32 33 36 40 44 45 48 54 55 60 66 72 80 88 90 96 99 108 110 120 132 135 144 160 165 176 180 198 216 220 240 264 270 288 297 330 352 360 396 432 440 480 495 528 540 594 660 720 792 864 880 990 1056 1080 1188 1320 1440 1485 1584 1760 1980 2160 2376 2640 2789 2970 3168 3960 4320 4752 5280 5578 5940 7920 8367 9504 11156 11880 13945 15840 16734 22312 23760 25101 27890 30679 33468 41835 44624 47520 50202 55780 61358 66936 75303 83670 89248 92037 100404 111560 122716 125505 133872 150606 153395 167340 184074 200808 223120 245432 251010 267744 276111 301212 306790 334680 368148 376515 401616 446240 460185 490864 502020 552222 602424 613580 669360 736296 753030 803232 828333 920370 981728 1004040 1104444 1204848 1227160 1338720 1380555 1472592 1506060 1656666 1840740 2008080 2208888 2409696 2454320 2761110 2945184 3012120 3313332 3681480 4016160 4141665 4417776 4908640 5522220 6024240 6626664 7362960 8283330 8835552 11044440 12048480 13253328 14725920 16566660 22088880 26506656 33133320 44177760 66266640 132533280 305175781 610351562 915527343 1220703124 1525878905 1831054686 2441406248 2746582029 3051757810 3356933591 3662109372 4577636715 4882812496 5493164058 6103515620 6713867182 7324218744 8239746087 9155273430 9765624992 10070800773 10986328116 12207031240 13427734364 13732910145 14648437488 16479492174 16784667955 18310546860 20141601546 21972656232 24414062480 26855468728 27465820290 29296874976 30212402319 32958984348 33569335910 36621093720 40283203092 41198730435 43945312464 48828124960 50354003865 53710937456 54931640580 60424804638 65917968696 67138671820 73242187440 80566406184 82397460870 87890624928 90637206957 100708007730 107421874912 109863281160 120849609276 131835937392 134277343640 146484374880 151062011595 161132812368 164794921740 181274413914 201416015460 219726562320 241699218552 263671874784 268554687280 302124023190 322265624736 329589843480 362548827828 402832030920 439453124640 453186034785 483398437104 537109374560 604248046380 659179686960 725097655656 805664061840 851135253209 906372069570 966796874208 1208496092760 1318359373920 1450195311312 1611328123680 1702270506418 1812744139140 2416992185520 2553405759627 2900390622624 3404541012836 3625488278280 4255676266045 4833984371040 5106811519254 6809082025672 7250976556560 7660217278881 8511352532090 9362487785299 10213623038508 12767028798135 13618164051344 14501953113120 15320434557762 17022705064180 18724975570598 20427246077016 22980651836643 25534057596270 27236328102688 28087463355897 30640869115524 34045410128360 37449951141196 38301086394405 40854492154032 45961303673286 46812438926495 51068115192540 56174926711794 61281738231048 68090820256720 74899902282392 76602172788810 81708984308064 84262390067691 91922607346572 93624877852990 102136230385080 112349853423588 114903259183215 122563476462096 136181640513440 140437316779485 149799804564784 153204345577620 168524780135382 183845214693144 187249755705980 204272460770160 224699706847176 229806518366430 245126952924192 252787170203073 280874633558970 299599609129568 306408691155240 337049560270764 367690429386288 374499511411960 408544921540320 421311950338455 449399413694352 459613036732860 505574340406146 561749267117940 612817382310480 674099120541528 735380858772576 748999022823920 842623900676910 898798827388704 919226073465720 1011148680812292 1123498534235880 1225634764620960 1263935851015365 1348198241083056 1497998045647840 1685247801353820 1838452146931440 2022297361624584 2246997068471760 2527871702030730 2696396482166112 3370495602707640 3676904293862880 4044594723249168 4493994136943520 5055743404061460 6740991205415280 8089189446498336 10111486808122920 13481982410830560 20222973616245840 40445947232491680
• Sum of all divisors σ(n): 154485351942163200
• Sum of proper divisors (its aliquot sum) s(n): 114039404709671520
• 40445947232491680 is an abundant number, because the sum of its proper divisors (114039404709671520) is greater than itself. Its abundance is 73593457477179840

Bases of 40445947232491680

• Binary: 10001111101100010101111111101101011001011001100010100000₂
• Hexadecimal: 0x8FB15FED6598A0
• Base-36: B28W3NETBC0

Squares and roots of 40445947232491680

• 40445947232491680 squared (40445947232491680²) is 1635874647533501388494301269222400
• 40445947232491680 cubed (40445947232491680³) is 66164499673110922957938513030374694120448069632000
• The square root of 40445947232491680 is 201111777.9556724023
• The cube root of 40445947232491680 is 343261.4270373457

Scales and comparisons

• 40,445,947,232,491,680 seconds is equal to 1,286,056,014 years, 24 weeks, 22 hours, 48 minutes.
• To count from 1 to 40,445,947,232,491,680 would take you about three billion, eight hundred fifty-eight million, one hundred sixty-eight thousand and forty-three 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 40445947232491680 cubic inches would be around 28605.1 feet tall.

Recreational maths with 40445947232491680

• 40445947232491680 backwards is 08619423274954404
• 40445947232491680 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 40445947232491680's digits is 72
• More coming soon!