400016457022464

Names of 400016457022464

• Cardinal: 400016457022464 can be written as Four hundred trillion, sixteen billion, four hundred fifty-seven million, twenty-two thousand, four hundred sixty-four.

Scientific notation

• Scientific notation: 4.00016457022464 × 10¹⁴

Factors of 400016457022464

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 1172

Divisors of 400016457022464

• Number of divisors d(n): 660
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 31 32 36 43 48 62 64 72 86 93 96 124 128 129 144 172 186 192 248 256 258 279 288 344 372 384 387 496 512 516 558 576 688 744 768 774 961 992 1024 1032 1093 1116 1152 1333 1376 1488 1536 1548 1922 1984 2064 2186 2232 2304 2666 2752 2883 2976 3072 3096 3279 3844 3968 3999 4128 4372 4464 4608 5332 5504 5766 5952 6192 6558 7688 7936 7998 8256 8649 8744 8928 9216 9837 10664 11008 11532 11904 11997 12384 13116 15376 15872 15996 16512 17298 17488 17856 19674 21328 22016 23064 23808 23994 24768 26232 29791 30752 31744 31992 33024 33883 34596 34976 35712 39348 41323 42656 44032 46128 46999 47616 47988 49536 52464 59582 61504 63984 66048 67766 69192 69952 71424 78696 82646 85312 89373 92256 93998 95232 95976 99072 101649 104928 119164 123008 123969 127968 132096 135532 138384 139904 140997 142848 157392 165292 170624 178746 184512 187996 191952 198144 203298 209856 238328 246016 247938 255936 268119 271064 276768 279808 281994 285696 304947 314784 330584 341248 357492 369024 371907 375992 383904 396288 406596 419712 422991 476656 492032 495876 511872 536238 542128 553536 559616 563988 609894 629568 661168 682496 714984 738048 743814 751984 767808 813192 839424 845982 923521 953312 984064 991752 1023744 1050373 1072476 1084256 1107072 1119232 1127976 1219788 1259136 1281013 1322336 1364992 1429968 1456969 1476096 1487628 1503968 1535616 1626384 1678848 1691964 1847042 1906624 1983504 2047488 2100746 2144952 2168512 2214144 2255952 2439576 2518272 2562026 2644672 2770563 2859936 2913938 2952192 2975256 3007936 3071232 3151119 3252768 3357696 3383928 3694084 3813248 3843039 3967008 4094976 4201492 4289904 4337024 4370907 4428288 4511904 4879152 5036544 5124052 5289344 5541126 5719872 5827876 5950512 6015872 6142464 6302238 6505536 6767856 7388168 7626496 7686078 7934016 8311689 8402984 8579808 8674048 8741814 8856576 9023808 9453357 9758304 10073088 10248104 10578688 11082252 11439744 11529117 11655752 11901024 12031744 12284928 12604476 13011072 13112721 13535712 14776336 15252992 15372156 15868032 16623378 16805968 17159616 17348096 17483628 18047616 18906714 19516608 20496208 21157376 22164504 22879488 23058234 23311504 23802048 24063488 25208952 26022144 26225442 27071424 29552672 30505984 30744312 31736064 32561563 33246756 33611936 34319232 34696192 34967256 36095232 37813428 39033216 39711403 40992416 42314752 44329008 45166039 45758976 46116468 46623008 47604096 48126976 50417904 52044288 52450884 54142848 59105344 61488624 63472128 65123126 66493512 67223872 68638464 69934512 72190464 75626856 78066432 79422806 81984832 88658016 90332078 91517952 92232936 93246016 95208192 97684689 100835808 104088576 104901768 108285696 118210688 119134209 122977248 126944256 130246252 132987024 134447744 135498117 137276928 139869024 144380928 151253712 156132864 158845612 163969664 177316032 180664156 184465872 186492032 190416384 195369378 201671616 209803536 216571392 236421376 238268418 245954496 260492504 265974048 268895488 270996234 274553856 279738048 293054067 302507424 312265728 317691224 327939328 354632064 357402627 361328312 368931744 372984064 380832768 390738756 403343232 406494351 419607072 433142784 472842752 476536836 491908992 520985008 531948096 537790976 541992468 559476096 586108134 605014848 635382448 655878656 709264128 714805254 722656624 737863488 745968128 781477512 806686464 812988702 839214144 945685504 953073672 983817984 1009408453 1041970016 1063896192 1075581952 1083984936 1118952192 1172216268 1210029696 1270764896 1311757312 1400147209 1418528256 1429610508 1445313248 1475726976 1491936256 1562955024 1613372928 1625977404 1678428288 1906147344 1967635968 2018816906 2083940032 2127792384 2167969872 2237904384 2344432536 2420059392 2541529792 2800294418 2837056512 2859221016 2890626496 2951453952 3028225359 3125910048 3226745856 3251954808 3356856576 3812294688 3935271936 4037633812 4167880064 4200441627 4255584768 4335939744 4475808768 4688865072 4840118784 5083059584 5600588836 5718442032 5781252992 5902907904 6056450718 6251820096 6503909616 6713713152 7624589376 8075267624 8335760128 8400883254 8511169536 8671879488 9084676077 9377730144 9680237568 10166119168 11201177672 11436884064 11562505984 11805815808 12112901436 12503640192 12601324881 13007819232 13427426304 15249178752 16150535248 16671520256 16801766508 17343758976 18169352154 18755460288 20332238336 22402355344 22873768128 23125011968 24225802872 25007280384 25202649762 26015638464 30498357504 32301070496 33343040512 33603533016 34687517952 36338704308 37510920576 40664476672 43404563479 44804710688 45747536256 46250023936 48451605744 50014560768 50405299524 52031276928 60996715008 64602140992 67207066032 69375035904 72677408616 75021841152 86809126958 89609421376 91495072512 96903211488 100029121536 100810599048 104062553856 121993430016 129204281984 130213690437 134414132064 138750071808 145354817232 150043682304 173618253916 179218842752 182990145024 193806422976 201621198096 208125107712 258408563968 260427380874 268828264128 290709634464 300087364608 347236507832 358437685504 365980290048 387612845952 390641071311 403242396192 416250215424 516817127936 520854761748 537656528256 581419268928 694473015664 716875371008 775225691904 781282142622 806484792384 1033634255872 1041709523496 1075313056512 1162838537856 1388946031328 1433750742016 1550451383808 1562564285244 1612969584768 2083419046992 2150626113024 2325677075712 2777892062656 3100902767616 3125128570488 3225939169536 4166838093984 4301252226048 4651354151424 5555784125312 6250257140976 6451878339072 8333676187968 9302708302848 11111568250624 12500514281952 12903756678144 16667352375936 22223136501248 25001028563904 33334704751872 44446273002496 50002057127808 66669409503744 100004114255616 133338819007488 200008228511232 400016457022464
• Sum of all divisors σ(n): 1222414218448280
• Sum of proper divisors (its aliquot sum) s(n): 822397761425816
• 400016457022464 is an abundant number, because the sum of its proper divisors (822397761425816) is greater than itself. Its abundance is 422381304403352

Bases of 400016457022464

• Binary: 1011010111101000000010110110100110011110000000000₂
• Hexadecimal: 0x16BD016D33C00
• Base-36: 3XSL0UE4G0

Squares and roots of 400016457022464

• 400016457022464 squared (400016457022464²) is 160013165888804788380600631296
• 400016457022464 cubed (400016457022464³) is 64007899695787483171168742829171050853433344
• The square root of 400016457022464 is 20000411.4213299123
• The cube root of 400016457022464 is 73681.6404287691

Scales and comparisons

• 400,016,457,022,464 seconds is equal to 12,719,286 years, 10 hours, 14 minutes, 24 seconds.
• To count from 1 to 400,016,457,022,464 would take you about thirty-one million, seven hundred ninety-eight thousand, two hundred fifteen 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 400016457022464 cubic inches would be around 6140.1 feet tall.

Recreational maths with 400016457022464

• 400016457022464 backwards is 464220754610004
• The number of decimal digits it has is: 15
• The sum of 400016457022464's digits is 45
• More coming soon!