40688946077472

Names of 40688946077472

• Cardinal: 40688946077472 can be written as Forty trillion, six hundred eighty-eight billion, nine hundred forty-six million, seventy-seven thousand, four hundred seventy-two.

Scientific notation

• Scientific notation: 4.0688946077472 × 10¹³

Factors of 40688946077472

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 2739

Divisors of 40688946077472

• Number of divisors d(n): 648
• Complete list of divisors:
  1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 23 24 28 32 33 36 42 44 46 48 56 63 66 69 72 77 84 88 92 96 99 112 121 126 132 138 144 154 161 168 176 184 198 207 224 231 242 252 253 264 276 288 308 322 336 352 363 368 396 414 462 483 484 504 506 528 552 616 644 672 693 726 736 759 792 828 847 924 966 968 1008 1012 1056 1089 1104 1232 1288 1386 1449 1452 1518 1584 1656 1694 1771 1848 1932 1936 2016 2024 2178 2208 2277 2464 2541 2576 2693 2772 2783 2898 2904 3036 3168 3312 3388 3542 3696 3864 3872 4048 4356 4554 5082 5152 5313 5386 5544 5566 5796 5808 6072 6624 6776 7084 7392 7623 7728 8079 8096 8349 8712 9108 10164 10626 10772 11088 11132 11592 11616 12144 13552 14168 15246 15456 15939 16158 16698 17424 18216 18851 19481 20328 21252 21544 22176 22264 23184 24237 24288 25047 27104 28336 29623 30492 31878 32316 33396 34848 36432 37702 38962 40656 42504 43088 44528 46368 48474 50094 56553 56672 58443 59246 60984 61939 63756 64632 66792 72864 75404 77924 81312 85008 86176 88869 89056 96948 100188 113106 116886 118492 121968 123878 127512 129264 133584 150808 155848 169659 170016 175329 177738 185817 193896 200376 207361 226212 233772 236984 243936 247756 255024 258528 266607 267168 301616 311696 325853 339318 350658 355476 371634 387792 400752 414722 433573 452424 467544 473968 495512 510048 533214 557451 603232 622083 623392 651706 678636 681329 701316 710952 743268 775584 801504 829444 867146 904848 935088 947936 977559 991024 1066428 1114902 1244166 1300719 1303412 1357272 1362658 1402632 1421904 1486536 1658888 1734292 1809696 1866249 1870176 1955118 1982048 2043987 2132856 2229804 2280971 2488332 2601438 2606824 2714544 2725316 2805264 2843808 2932677 2973072 3317776 3468584 3732498 3902157 3910236 4087974 4265712 4459608 4561942 4769303 4976664 5202876 5213648 5429088 5450632 5610528 5865354 5946144 6131961 6635552 6842913 6937168 7252249 7464996 7494619 7804314 7820472 8175948 8531424 8919216 9123884 9538606 9953328 10405752 10427296 10901264 11730708 12263922 13685826 13874336 14307909 14504498 14929992 14989238 15608628 15640944 16351896 17838432 18247768 19077212 19906656 20528739 20811504 21756747 21802528 22483857 23461416 24527844 27371652 28615818 29008996 29859984 29978476 31217256 31281888 32703792 36495536 38154424 41057478 41623008 42923727 43513494 44967714 46922832 49055688 50765743 52462333 54743304 57231636 58017992 59719968 59956952 62434512 65270241 65407584 67451571 72991072 76308848 79774739 82114956 85847454 87026988 89935428 93845664 98111376 101531486 104924666 109486608 114463272 116035984 119913904 124869024 130540482 134903142 152297229 152617696 157386999 159549478 164229912 166801727 171694908 174053976 179870856 196222752 203062972 209849332 218973216 228926544 232071968 239324217 239827808 261080964 269806284 304594458 314773998 319098956 328459824 333603454 343389816 348107952 359741712 406125944 419698664 456891687 457853088 472160997 478648434 500405181 522161928 539612568 558423173 609188916 629547996 638197912 656919648 667206908 686779632 696215904 717972651 719483424 812251888 839397328 877522129 913783374 944321994 957296868 1000810362 1044323856 1079225136 1116846346 1167612089 1218377832 1259095992 1276395824 1334413816 1373559264 1435945302 1501215543 1624503776 1675269519 1678794656 1755044258 1827566748 1834818997 1888643988 1914593736 2001620724 2088647712 2158450272 2233692692 2335224178 2436755664 2518191984 2552791648 2632566387 2668827632 2871890604 3002431086 3350539038 3502836267 3510088516 3655133496 3669637994 3777287976 3829187472 4003241448 4467385384 4670448356 4873511328 5025808557 5036383968 5265132774 5337655264 5504456991 5743781208 6004862172 6142654903 6701078076 7005672534 7020177032 7310266992 7339275988 7554575952 7658374944 7897699161 8006482896 8934770768 9340896712 10051617114 10508508801 10530265548 11008913982 11487562416 12009724344 12285309806 12843732979 13402156152 14011345068 14040354064 14620533984 14678551976 15109151904 15795398322 16012965792 16513370973 17869541536 18427964709 18681793424 20103234228 20183008967 21017017602 21060531096 22017827964 22975124832 24019448688 24570619612 25687465958 26804312304 28022690136 28080708128 29357103952 31590796644 33026741946 36855929418 37363586848 38531198937 40206468456 40366017934 42034035204 42121062192 44035655928 48038897376 49141239224 51374931916 53608624608 55283894127 56045380272 58714207904 60549026901 63181593288 66053483892 73711858836 77062397874 80412936912 80732035868 84068070408 84242124384 88071311856 98282478448 102749863832 110567788254 112090760544 115593596811 121098053802 126363186576 132106967784 141281062769 147423717672 154124795748 160825873824 161464071736 168136140816 176142623712 181647080703 196564956896 205499727664 221135576508 231187193622 242196107604 252726373152 264213935568 282562125538 294847435344 308249591496 322928143472 336272281632 363294161406 410999455328 423843188307 442271153016 462374387244 484392215208 528427871136 565124251076 589694870688 616499182992 645856286944 726588322812 847686376614 884542306032 924748774488 968784430416 1130248502152 1232998365984 1271529564921 1453176645624 1695372753228 1769084612064 1849497548976 1937568860832 2260497004304 2543059129842 2906353291248 3390745506456 3698995097952 4520994008608 5086118259684 5812706582496 6781491012912 10172236519368 13562982025824 20344473038736 40688946077472
• Sum of all divisors σ(n): 151729761822912
• Sum of proper divisors (its aliquot sum) s(n): 111040815745440
• 40688946077472 is an abundant number, because the sum of its proper divisors (111040815745440) is greater than itself. Its abundance is 70351869667968

Bases of 40688946077472

• Binary: 1001010000000110100010001011010101111100100000₂
• Hexadecimal: 0x2501A22D5F20
• Base-36: EF88RXQG0

Squares and roots of 40688946077472

• 40688946077472 squared (40688946077472²) is 1655590332895424055025910784
• 40688946077472 cubed (40688946077472³) is 67364225781565827292124604881961024258048
• The square root of 40688946077472 is 6378788.7625686431
• The cube root of 40688946077472 is 34394.7491978483

Scales and comparisons

• 40,688,946,077,472 seconds is equal to 1,293,782 years, 32 weeks, 3 days, 21 hours, 31 minutes, 12 seconds.
• To count from 1 to 40,688,946,077,472 would take you about three million, two hundred thirty-four thousand, four hundred fifty-six 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 40688946077472 cubic inches would be around 2866.2 feet tall.

Recreational maths with 40688946077472

• 40688946077472 backwards is 27477064988604
• 40688946077472 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 40688946077472's digits is 72
• More coming soon!