40475536640

Names of 40475536640

• Cardinal: 40475536640 can be written as Forty billion, four hundred seventy-five million, five hundred thirty-six thousand, six hundred forty.

Scientific notation

• Scientific notation: 4.047553664 × 10¹⁰

Factors of 40475536640

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 71

Divisors of 40475536640

• Number of divisors d(n): 864
• Complete list of divisors:
  1 2 4 5 7 8 10 11 14 16 17 20 22 28 29 32 34 35 40 44 49 55 56 58 64 68 70 77 80 85 88 98 110 112 116 119 128 136 140 145 154 160 170 176 187 196 203 220 224 232 238 245 256 272 280 289 290 308 319 320 340 343 352 374 385 392 406 440 448 464 476 490 493 539 544 560 578 580 595 616 638 640 680 686 704 748 770 784 812 833 880 896 928 935 952 980 986 1015 1078 1088 1120 1156 1160 1190 1232 1276 1280 1309 1360 1372 1408 1421 1445 1496 1540 1568 1595 1624 1666 1715 1760 1792 1856 1870 1904 1960 1972 2023 2030 2156 2176 2233 2240 2312 2320 2380 2464 2465 2552 2618 2695 2720 2744 2816 2842 2890 2992 3080 3136 3179 3190 3248 3332 3430 3451 3520 3712 3740 3773 3808 3920 3944 4046 4060 4165 4312 4352 4466 4480 4624 4640 4760 4928 4930 5104 5236 5390 5423 5440 5488 5684 5780 5831 5984 6160 6272 6358 6380 6496 6545 6664 6860 6902 7040 7105 7424 7480 7546 7616 7840 7888 8092 8120 8330 8381 8624 8932 8960 9163 9248 9280 9520 9856 9860 9947 10115 10208 10472 10780 10846 10880 10976 11165 11368 11560 11662 11968 12320 12544 12716 12760 12992 13090 13328 13720 13804 14080 14161 14210 14960 15092 15232 15631 15680 15776 15895 16184 16240 16660 16762 17248 17255 17864 18326 18496 18560 18865 19040 19712 19720 19894 20230 20416 20944 21560 21692 21760 21952 22253 22330 22736 23120 23324 23936 24157 24640 25432 25520 25984 26180 26656 27115 27440 27608 28322 28420 29155 29920 30184 30464 31262 31360 31552 31790 32368 32480 33320 33524 34496 34510 35728 36652 36992 37120 37730 37961 38080 39440 39788 40460 40832 41888 41905 43120 43384 43904 44506 44660 45472 45815 46240 46648 47872 48314 49280 49735 50864 51040 51968 52360 53312 54230 54880 55216 56644 56840 58310 58667 59840 60368 62524 62720 63104 63580 64141 64736 64960 66640 67048 68992 69020 70805 71456 73304 73984 75460 75922 76160 78155 78880 79576 80920 81664 83776 83810 86240 86768 87808 89012 89320 90944 91630 92191 92480 93296 96628 98560 99127 99470 101728 102080 104720 106624 108460 109417 109760 110432 111265 113288 113680 116620 117334 119680 120736 120785 125048 126208 127160 128282 129472 129920 133280 134096 137984 138040 141610 142912 146608 150920 151844 152320 155771 156310 157760 159152 161840 167552 167620 169099 172480 173536 178024 178640 181888 183260 184382 184960 186592 189805 193256 198254 198940 203456 204160 209440 213248 216920 218834 219520 220864 222530 226576 227360 233240 234668 239360 241472 241570 250096 254320 256564 258944 259840 265727 266560 268192 276080 283220 285824 293216 293335 301840 303688 311542 312620 315520 318304 320705 323680 335104 335240 338198 344960 347072 356048 357280 363776 366520 368764 369920 373184 379610 386512 396508 397880 406912 408320 410669 418880 433840 437668 439040 441728 445060 453152 454720 460955 466480 469336 482944 483140 495635 500192 508640 513128 517888 531454 533120 536384 547085 552160 566440 571648 586432 586670 603680 607376 623084 625240 631040 636608 641410 645337 647360 670480 676396 689920 694144 712096 714560 733040 737528 746368 759220 773024 778855 793016 795760 813824 821338 837760 845495 867680 875336 883456 890120 906304 909440 921910 932960 938672 965888 966280 991270 1000384 1017280 1026256 1062908 1066240 1072768 1090397 1094170 1104320 1132880 1172864 1173340 1207360 1214752 1246168 1250480 1273216 1282820 1290674 1294720 1328635 1340960 1352792 1388288 1424192 1429120 1466080 1475056 1492736 1518440 1546048 1557710 1586032 1591520 1642676 1675520 1690990 1735360 1750672 1780240 1812608 1818880 1843820 1860089 1865920 1877344 1932560 1982540 2000768 2034560 2052512 2053345 2125816 2145536 2180794 2188340 2208640 2265760 2345728 2346680 2414720 2429504 2492336 2500960 2546432 2565640 2581348 2589440 2657270 2681920 2705584 2848384 2858240 2874683 2932160 2950112 3036880 3092096 3115420 3172064 3183040 3226685 3285352 3381980 3470720 3501344 3560480 3625216 3687640 3720178 3731840 3754688 3865120 3965080 4001536 4069120 4105024 4106690 4251632 4361588 4376680 4417280 4517359 4531520 4693360 4829440 4859008 4984672 5001920 5131280 5162696 5314540 5363840 5411168 5451985 5696768 5749366 5864320 5900224 6073760 6184192 6230840 6344128 6366080 6453370 6570704 6763960 6941440 7002688 7120960 7375280 7440356 7463680 7509376 7730240 7930160 8210048 8213380 8503264 8723176 8753360 9034718 9063040 9300445 9386720 9718016 9969344 10003840 10262560 10325392 10629080 10727680 10822336 10903970 11498732 11728640 11800448 12147520 12461680 12688256 12732160 12906740 13141408 13527920 14005376 14241920 14373415 14750560 14880712 15018752 15460480 15860320 16420096 16426760 17006528 17446352 17506720 18069436 18126080 18600890 18773440 19938688 20007680 20525120 20650784 21258160 21644672 21807940 22586795 22997464 23600896 24295040 24923360 25376512 25813480 26282816 27055840 28010752 28483840 28746830 29501120 29761424 30920960 31621513 31720640 32853520 34013056 34892704 35013440 36138872 37201780 37546880 39877376 41050240 41301568 42516320 43289344 43615880 45173590 45994928 48590080 49846720 51626960 52565632 54111680 57493660 59002240 59522848 63243026 63441280 65707040 68026112 69785408 70026880 72277744 74403560 75093760 82100480 82603136 85032640 87231760 90347180 91989856 99693440 103253920 105131264 108223360 114987320 118004480 119045696 126486052 126882560 131414080 139570816 140053760 144555488 148807120 158107565 165206272 170065280 174463520 180694360 183979712 199386880 206507840 216446720 229974640 238091392 252972104 262828160 279141632 289110976 297614240 316215130 340130560 348927040 361388720 367959424 413015680 459949280 476182784 505944208 525656320 578221952 595228480 632430260 697854080 722777440 735918848 826031360 919898560 1011888416 1156443904 1190456960 1264860520 1395708160 1445554880 1839797120 2023776832 2380913920 2529721040 2891109760 3679594240 4047553664 5059442080 5782219520 8095107328 10118884160 20237768320 40475536640
• Sum of all divisors σ(n): 135541728000
• Sum of proper divisors (its aliquot sum) s(n): 95066191360
• 40475536640 is an abundant number, because the sum of its proper divisors (95066191360) is greater than itself. Its abundance is 54590654720

Bases of 40475536640

• Binary: 100101101100100001111010110100000000₂
• Hexadecimal: 0x96C87AD00
• Base-36: ILE37Y8

Squares and roots of 40475536640

• 40475536640 squared (40475536640²) is 1638269066295982489600
• 40475536640 cubed (40475536640³) is 66309819619041628342603218944000
• The square root of 40475536640 is 201185.3290873865
• The cube root of 40475536640 is 3433.4511425521

Scales and comparisons

• 40,475,536,640 seconds is equal to 1,286 years, 51 weeks, 5 days, 20 hours, 37 minutes, 20 seconds.
• To count from 1 to 40,475,536,640 would take you about two thousand, five hundred seventy-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 40475536640 cubic inches would be around 286.1 feet tall.

Recreational maths with 40475536640

• 40475536640 backwards is 04663557404
• 40475536640 is a Harshad number.
• The number of decimal digits it has is: 11
• The sum of 40475536640's digits is 44
• More coming soon!