40900942497056096

Names of 40900942497056096

• Cardinal: 40900942497056096 can be written as Forty quadrillion, nine hundred trillion, nine hundred forty-two billion, four hundred ninety-seven million, fifty-six thousand and ninety-six.

Scientific notation

• Scientific notation: 4.0900942497056096 × 10¹⁶

Factors of 40900942497056096

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 3794

Divisors of 40900942497056096

• Number of divisors d(n): 1296
• Complete list of divisors:
  1 2 4 7 8 13 14 16 19 26 28 32 38 52 56 76 79 91 103 104 112 133 152 158 169 182 206 208 224 247 266 304 316 338 361 364 412 416 494 532 553 608 632 676 721 722 728 824 988 1027 1064 1106 1183 1264 1339 1352 1442 1444 1456 1501 1648 1729 1957 1976 2054 2128 2212 2366 2527 2528 2678 2704 2884 2888 2912 3002 3211 3296 3458 3571 3914 3952 4108 4256 4424 4693 4732 5054 5356 5408 5768 5776 6004 6422 6916 7142 7189 7828 7904 8137 8216 8848 9373 9386 9464 10108 10507 10609 10712 11536 11552 12008 12844 13351 13699 13832 14284 14378 15656 16274 16432 17407 17696 18746 18772 18928 19513 20216 21014 21218 21424 22477 23072 24016 24997 25441 25688 26702 27398 27664 28519 28568 28756 31312 32548 32851 32864 34814 37183 37492 37544 37856 39026 40432 42028 42436 42848 44954 46423 48032 49994 50882 51376 53404 54796 55328 56959 57038 57136 57512 61009 62624 65096 65702 67849 69628 74263 74366 74984 75088 78052 80864 84056 84872 89908 92846 93457 99988 101764 102752 105781 106808 109592 113918 114076 114272 115024 121849 122018 130192 131404 135698 136591 137917 139256 148526 148732 149968 150176 154603 156104 168112 169744 178087 179816 185692 186914 199633 199976 201571 203528 211562 213616 219184 227836 228152 230048 243698 244036 253669 260281 260384 262808 271396 273182 275834 278512 282109 297052 297464 299936 309206 312208 324961 330733 336224 339488 356174 359632 367813 370747 371384 373828 399266 399952 403142 407056 423124 427063 427232 438368 455672 456304 474943 483379 487396 488072 507338 520562 525616 542792 546364 551668 557024 564218 594104 594928 603499 618412 624416 649922 661466 712348 719264 735626 740467 741494 742768 747656 798532 799904 806284 814112 838111 846248 854126 882037 911344 912608 949886 965419 966758 974792 976144 1014676 1041124 1051232 1082221 1085584 1092728 1103336 1128436 1188208 1189856 1206998 1236824 1289131 1299844 1322932 1375153 1410997 1424696 1471252 1480934 1482988 1485536 1495312 1597064 1612568 1676222 1692496 1708252 1764074 1775683 1792921 1822688 1899772 1930838 1933516 1949584 1952288 1974763 2009839 2029352 2082248 2164442 2171168 2185456 2206672 2256872 2315131 2376416 2413996 2473648 2574691 2578262 2595229 2599688 2620423 2645864 2750306 2821994 2849392 2937457 2942504 2961868 2965976 2990624 3194128 3225136 3352444 3383653 3384992 3416504 3528148 3551366 3585842 3667417 3799544 3829849 3861676 3867032 3899168 3949526 4019678 4058704 4164496 4224493 4328884 4370912 4413344 4513744 4630262 4781569 4819711 4827992 4947296 5149382 5156524 5190458 5199376 5240846 5291728 5360071 5500612 5643988 5698784 5866777 5874914 5885008 5923736 5931952 6174259 6283927 6388256 6450272 6704888 6767306 6833008 6988447 7056296 7102732 7171684 7334834 7599088 7659698 7723352 7734064 7899052 8039356 8117408 8328992 8448986 8657768 9023917 9027488 9260524 9563138 9626071 9639422 9655984 10298764 10313048 10380916 10398752 10481692 10583456 10720142 10895443 11001224 11287976 11466481 11733554 11749828 11770016 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83801042668 83917271576 84614645024 86117581472 89635292474 89759613268 93302755897 95734735453 95772620192 96664198904 100479890966 101455423888 102264627998 102440334256 109411126232 110131137844 110320359968 111200372192 113729986478 114834161104 120478315867 121647896929 123667558112 125864157536 131005427462 132277324816 136365566311 137498798164 137689503848 144982763744 146855225258 148281004144 149720488528 150705767576 155630507812 157079323219 157141483616 161237449184 167602085336 167834543152 177793080127 179270584948 179519226536 186605511794 191469470906 193328397808 200959781932 202910847776 204529255996 204880668512 218822252464 220262275688 227459972956 229668322208 240956631734 243295793858 262010854924 264554649632 272353388671 272731132622 274997596328 275379007696 293710450516 296562008288 299440977056 301411535152 311261015624 314158646438 335204170672 335669086304 355586160254 357926197993 358541169896 359038453072 373211023588 382938941812 386656795616 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2956979648428 2985688188704 3063511534496 3184439621384 3406141114012 3540594052723 3545504724086 3818235856708 3855306107744 3892732701728 4046393203112 4321739486164 4357654218736 4363698121952 4622620083302 4978206243556 5026538343008 5174714384749 5224954330232 5689378564064 5726819167888 5913959296856 6368879242768 6812282228024 7081188105446 7091009448172 7563044100787 7636471713416 8092786406224 8643478972328 8715308437472 9245240166604 9610183857391 9956412487112 10349428769498 10449908660464 11453638335776 11827918593712 12409266534301 12737758485536 13624564456048 14045653330033 14162376210892 14182018896344 15126088201574 15272943426832 16179170291557 16185572812448 17286957944656 18490480333208 19220367714782 19912824974224 20698857538996 20899817320928 23655837187424 24818533068602 27249128912096 28091306660066 28324752421784 28364037792688 30252176403148 30545886853664 32358340583114 34573915889312 36980960666416 38440735429564 39825649948448 41397715077992 49637066137204 56182613320132 56649504843568 56728075585376 60504352806296 64716681166228 67271287001737 73961921332832 76881470859128 82795430155984 98319573310231 99274132274408 112365226640264 113299009687136 121008705612592 129433362332456 134542574003474 153762941718256 165590860311968 182593493290429 196639146620462 198548264548816 224730453280528 242017411225184 258866724664912 269085148006948 307525883436512 365186986580858 393278293240924 397096529097632 449460906561056 517733449329824 538170296013896 730373973161716 786556586481848 1076340592027792 1278154453033003 1460747946323432 1573113172963696 2152681184055584 2556308906066006 2921495892646864 3146226345927392 5112617812132012 5842991785293728 10225235624264024 20450471248528048 40900942497056096
• Sum of all divisors σ(n): 107576929411176960
• Sum of proper divisors (its aliquot sum) s(n): 66675986914120864
• 40900942497056096 is an abundant number, because the sum of its proper divisors (66675986914120864) is greater than itself. Its abundance is 25775044417064768

Bases of 40900942497056096

• Binary: 10010001010011110011000011000100100001000000010101100000₂
• Hexadecimal: 0x914F30C4840560
• Base-36: B6Q69L7PFFK

Squares and roots of 40900942497056096

• 40900942497056096 squared (40900942497056096²) is 1672887097147489353549626570761216
• 40900942497056096 cubed (40900942497056096³) is 68422658964496557052054564769304516985909773172736
• The square root of 40900942497056096 is 202239814.3221460139
• The cube root of 40900942497056096 is 344543.7994508045

Scales and comparisons

• 40,900,942,497,056,096 seconds is equal to 1,300,523,456 years, 25 weeks, 1 day, 8 hours, 54 minutes, 56 seconds.
• To count from 1 to 40,900,942,497,056,096 would take you about three billion, nine hundred one million, five hundred seventy thousand, three hundred sixty-nine 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 40900942497056096 cubic inches would be around 28712 feet tall.

Recreational maths with 40900942497056096

• 40900942497056096 backwards is 69065079424900904
• The number of decimal digits it has is: 17
• The sum of 40900942497056096's digits is 74
• More coming soon!