40093984749312
40,093,984,749,312 is an even composite number composed of eight prime numbers multiplied together.
What does the number 40093984749312 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1728 divisors.
40093984749312 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 40093984749312:
28 × 32 × 13 × 17 × 19 × 31 × 43 × 3109
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 13 × 17 × 19 × 31 × 43 × 3109)See below for interesting mathematical facts about the number 40093984749312 from the Numbermatics database.
Names of 40093984749312
- Cardinal: 40093984749312 can be written as Forty trillion, ninety-three billion, nine hundred eighty-four million, seven hundred forty-nine thousand, three hundred twelve.
Scientific notation
- Scientific notation: 4.0093984749312 × 1013
Factors of 40093984749312
Divisors of 40093984749312
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 17 18 19 24 26 31 32 34 36 38 39 43 48 51 52 57 62 64 68 72 76 78 86 93 96 102 104 114 117 124 128 129 136 144 152 153 156 171 172 186 192 204 208 221 228 234 247 248 256 258 272 279 288 304 306 312 323 342 344 372 384 387 403 408 416 442 456 468 494 496 516 527 544 558 559 576 589 608 612 624 646 663 684 688 731 741 744 768 774 806 816 817 832 884 912 936 969 988 992 1032 1054 1088 1116 1118 1152 1178 1209 1216 1224 1248 1292 1326 1333 1368 1376 1462 1482 1488 1548 1581 1612 1632 1634 1664 1677 1767 1768 1824 1872 1938 1976 1984 1989 2064 2108 2176 2193 2223 2232 2236 2304 2356 2418 2432 2448 2451 2496 2584 2652 2666 2736 2752 2907 2924 2964 2976 3096 3109 3162 3224 3264 3268 3328 3354 3534 3536 3627 3648 3744 3876 3952 3968 3978 3999 4128 4199 4216 4352 4386 4446 4464 4472 4712 4743 4836 4864 4896 4902 4992 5031 5168 5301 5304 5332 5472 5504 5814 5848 5928 5952 6192 6218 6324 6448 6528 6536 6579 6708 6851 7068 7072 7254 7296 7353 7488 7657 7752 7904 7936 7956 7998 8256 8398 8432 8772 8892 8928 8944 9327 9424 9486 9503 9672 9792 9804 9984 10013 10062 10336 10602 10608 10621 10664 10944 11008 11628 11696 11856 11904 11997 12384 12436 12597 12648 12896 13056 13072 13158 13416 13702 13889 14136 14144 14508 14592 14706 14976 15314 15504 15808 15912 15996 16512 16796 16864 17329 17544 17784 17856 17888 18654 18848 18972 19006 19344 19584 19608 20026 20124 20553 20672 21204 21216 21242 21328 21888 22661 22971 23256 23392 23712 23808 23994 24768 24872 25194 25296 25327 25792 26144 26316 26832 27404 27778 27981 28272 28288 28509 29016 29412 29952 30039 30628 31008 31616 31824 31863 31992 33024 33592 33728 34658 35088 35568 35712 35776 37308 37696 37791 37944 38012 38688 39168 39216 40052 40248 40417 41106 41344 41667 42408 42432 42484 42656 43776 45322 45942 46512 46784 47424 47988 49536 49744 50388 50592 50654 51584 51987 52288 52632 52853 53664 54808 55556 55962 56544 56576 57018 58032 58824 59071 60078 61256 61659 62016 63232 63648 63726 63984 67184 67456 67983 68913 69316 70176 71136 71424 71552 74616 75392 75582 75888 75981 76024 77376 78432 80104 80496 80834 82212 82688 83334 84816 84864 84968 85312 85527 90117 90644 91884 93024 93568 94848 95589 95976 96379 99072 99488 100776 101184 101308 103168 103974 104576 105264 105706 107328 109616 111112 111924 113088 114036 116064 117648 118142 120156 121251 122512 123318 124032 125001 127296 127452 127968 130169 133687 134368 134912 135966 137826 138632 140352 142272 143104 149232 150784 151164 151776 151962 152048 154752 155961 156864 158559 160208 160992 161668 164424 166668 169632 169728 169936 170624 171054 177213 180234 180557 181288 183768 186048 187136 189696 191178 191952 192758 198976 201552 202368 202616 203949 207948 209152 210528 211412 214656 219232 222224 223848 226176 227943 228072 232128 235296 236284 240312 242502 245024 246636 248064 250002 254592 254904 255936 260338 267374 268736 271932 275652 277264 280704 284544 289137 294593 298464 302328 303552 303924 304096 309504 311922 313728 317118 320416 321984 323336 328848 329251 333336 339264 339872 341248 342108 354426 360468 361114 362576 363753 367536 372096 382356 383904 385516 390507 397952 401061 403104 404736 405232 407898 415896 421056 422824 429312 430559 438464 444448 447696 452352 455886 456144 464256 470592 472568 475677 480624 485004 490048 493272 500004 509184 509808 511872 520676 531639 534748 537472 541671 543864 551304 554528 561408 569088 578274 589186 596928 604656 607104 607848 608192 623844 627456 634236 640832 643968 646672 657696 658502 666672 678528 679744 684216 687089 708852 720936 722228 725152 727506 735072 744192 764712 767808 767923 771032 781014 795904 802122 806208 810464 815796 831792 842112 845648 861118 867411 876928 883779 888896 895392 911772 912288 928512 941184 945136 951354 961248 970008 980096 986544 987753 1000008 1004207 1019616 1023744 1041352 1063278 1069496 1074944 1083342 1087728 1102608 1109056 1156548 1171521 1178372 1193856 1203183 1209312 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809390842 835500224 845436588 857002068 862013776 872708736 884647296 915889637 939937752 943743168 944899716 945434464 962247936 969765498 975380352 992007936 996173344 1001048256 1022388432 1023641359 1036341624 1054771776 1056662048 1060940032 1063613772 1074675264 1120695012 1122703426 1127248784 1142669424 1156846464 1188744804 1193557536 1214086263 1253250336 1258324224 1259866288 1268154882 1293020664 1309063104 1334731008 1338607931 1363184576 1381788832 1406362368 1417349574 1418151696 1432900352 1443371904 1463070528 1494260016 1523559232 1533582648 1554512436 1583053056 1584993072 1591410048 1612012896 1618781684 1671000448 1684055139 1690873176 1714004136 1724027552 1745417472 1769294592 1831779274 1879875504 1887486336 1889799432 1890868928 1939530996 1950760704 1992346688 2002096512 2044776864 2047282718 2072683248 2109543552 2113324096 2127227544 2149350528 2241390024 2245406852 2254497568 2285338848 2313692928 2377489608 2387115072 2428172526 2506500672 2519732576 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9141355392 9212772231 9509958432 9548460288 9712690104 10026002688 10078930304 10104330834 10145239056 10344165312 10708863448 10990675644 11054310656 11338796592 11345213568 11954080128 12047471379 12268661184 12283696308 12436099488 12679944576 12896103168 12950253472 13472441112 13526985408 13712033088 13792220416 14569035156 14654234192 15039004032 15118395456 15516247968 16063295172 16358214912 16378261744 16486013466 16581465984 17017820352 17401903103 17931120192 17963254816 18035980544 18282710784 18425544462 19019916864 19425380208 20157860608 20208661668 20290478112 20688330624 21417726896 21981351288 22677593184 22690427136 23908160256 24094942758 24537322368 24567392616 24872198976 25359889152 25900506944 26944882224 27053970816 27424066176 29138070312 29308468384 30078008064 30236790912 31032495936 32126590344 32756523488 32972026932 33162931968 34035640704 34803806206 35862240384 35926509632 36851088924 38039833728 38850760416 40417323336 40580956224 41376661248 42835453792 43962702576 45355186368 48189885516 49074644736 49134785232 49744397952 51801013888 52205709309 53889764448 54107941632 54848132352 58276140624 58616936768 60473581824 62064991872 64253180688 65513046976 65944053864 68071281408 69607612412 71724480768 71853019264 73702177848 76079667456 77701520832 80834646672 81161912448 85670907584 87925405152 90710372736 96379771032 98269570464 99488795904 103602027776 104411418618 107779528896 116552281248 117233873536 124129983744 128506361376 131026093952 131888107728 139215224824 143706038528 147404355696 155403041664 156617127927 161669293344 162323824896 171341815168 175850810304 181420745472 192759542064 196539140928 208822837236 215559057792 233104562496 234467747072 257012722752 262052187904 263776215456 278430449648 294808711392 310806083328 313234255854 323338586688 342683630336 351701620608 385519084128 393078281856 417645674472 431118115584 466209124992 514025445504 527552430912 556860899296 589617422784 626468511708 646677173376 703403241216 771038168256 786156563712 835291348944 932418249984 1028050891008 1055104861824 1113721798592 1179234845568 1252937023416 1293354346752 1542076336512 1670582697888 2110209723648 2227443597184 2358469691136 2505874046832 3084152673024 3341165395776 4454887194368 5011748093664 6682330791552 10023496187328 13364661583104 20046992374656 40093984749312
- Sum of all divisors σ(n): 146608055193600
- Sum of proper divisors (its aliquot sum) s(n): 106514070444288
- 40093984749312 is an abundant number, because the sum of its proper divisors (106514070444288) is greater than itself. Its abundance is 66420085694976
Bases of 40093984749312
- Binary: 10010001110111000110111011011111110111000000002
- Hexadecimal: 0x24771BB7F700
- Base-36: E7MX7BNK0
Squares and roots of 40093984749312
- 40093984749312 squared (400939847493122) is 1607527613078063239484473344
- 40093984749312 cubed (400939847493123) is 64452187602849789085628364607352186339328
-
The
square root of 40093984749312 is 6331981.1077823029 -
The
cube root of 40093984749312 is 34226.2832592587
Scales and comparisons
How big is 40093984749312?- 40,093,984,749,312 seconds is equal to 1,274,864 years, 36 weeks, 1 day, 9 hours, 55 minutes, 12 seconds.
-
To count from 1 to 40,093,984,749,312 would take you about three million, one hundred eighty-seven thousand, one hundred sixty-one 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 40093984749312 cubic inches would be around 2852.2 feet tall.
Recreational maths with 40093984749312
- 40093984749312 backwards is 21394748939004
- The number of decimal digits it has is: 14
- The sum of 40093984749312's digits is 63
- More coming soon!
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MLA style:
"Number 40093984749312 - Facts about the integer". Numbermatics.com. 2024. Web. 19 June 2024.
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Numbermatics. (2024). Number 40093984749312 - Facts about the integer. Retrieved 19 June 2024, from https://numbermatics.com/n/40093984749312/
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The information we have on file for 40093984749312 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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