40442136590548992
40,442,136,590,548,992 is an even composite number composed of six prime numbers multiplied together.
What does the number 40442136590548992 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1512 divisors.
40442136590548992 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, five hundred twelve divisors.
Prime factorization of 40442136590548992:
220 × 3 × 13 × 312 × 97 × 1032
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 13 × 31 × 31 × 97 × 103 × 103)See below for interesting mathematical facts about the number 40442136590548992 from the Numbermatics database.
Names of 40442136590548992
- Cardinal: 40442136590548992 can be written as Forty quadrillion, four hundred forty-two trillion, one hundred thirty-six billion, five hundred ninety million, five hundred forty-eight thousand, nine hundred ninety-two.
Scientific notation
- Scientific notation: 4.0442136590548992 × 1016
Factors of 40442136590548992
Divisors of 40442136590548992
- Number of divisors d(n): 1512
-
Complete list of divisors:
1 2 3 4 6 8 12 13 16 24 26 31 32 39 48 52 62 64 78 93 96 97 103 104 124 128 156 186 192 194 206 208 248 256 291 309 312 372 384 388 403 412 416 496 512 582 618 624 744 768 776 806 824 832 961 992 1024 1164 1209 1236 1248 1261 1339 1488 1536 1552 1612 1648 1664 1922 1984 2048 2328 2418 2472 2496 2522 2678 2883 2976 3007 3072 3104 3193 3224 3296 3328 3783 3844 3968 4017 4096 4656 4836 4944 4992 5044 5356 5766 5952 6014 6144 6208 6386 6448 6592 6656 7566 7688 7936 8034 8192 9021 9312 9579 9672 9888 9984 9991 10088 10609 10712 11532 11904 12028 12288 12416 12493 12772 12896 13184 13312 15132 15376 15872 16068 16384 18042 18624 19158 19344 19776 19968 19982 20176 21218 21424 23064 23808 24056 24576 24832 24986 25544 25792 26368 26624 29973 30264 30752 31744 31827 32136 32768 36084 37248 37479 38316 38688 39091 39552 39936 39964 40352 41509 42436 42848 46128 47616 48112 49152 49664 49972 51088 51584 52736 53248 59946 60528 61504 63488 63654 64272 65536 72168 74496 74958 76632 77376 78182 79104 79872 79928 80704 83018 84872 85696 92256 93217 95232 96224 98304 98983 99328 99944 102176 103168 105472 106496 117273 119892 121056 123008 124527 126976 127308 128544 129883 131072 137917 144336 148992 149916 153264 154752 156364 158208 159744 159856 161408 166036 169744 171392 184512 186434 190464 192448 196608 197966 198656 199888 204352 206336 210944 212992 234546 239784 242112 246016 249054 253952 254616 257088 259766 262144 275834 279651 288672 296949 297984 299832 306528 309504 309721 312728 316416 319488 319712 322816 328879 332072 339488 342784 369024 372868 380928 384896 389649 393216 395932 397312 399776 408704 412672 413751 421888 425984 469092 479568 484224 492032 498108 507904 509232 514176 519532 524288 551668 559302 577344 593898 595968 599664 613056 619008 619442 625456 632832 638976 639424 645632 657758 664144 678976 685568 738048 745736 761856 769792 779298 786432 791864 794624 799552 817408 825344 827502 843776 851968 929163 938184 959136 968448 984064 986637 996216 1015808 1018464 1028352 1029073 1039064 1048576 1103336 1118604 1154688 1187796 1191936 1199328 1211821 1226112 1238016 1238884 1250912 1265664 1277952 1278848 1286779 1291264 1315516 1328288 1357952 1371136 1476096 1491472 1523712 1539584 1558596 1572864 1583728 1589248 1599104 1634816 1650688 1655004 1687552 1703936 1858326 1876368 1918272 1936896 1968128 1973274 1992432 2031616 2036928 2056704 2058146 2078128 2206672 2237208 2309376 2375592 2383872 2398656 2423642 2452224 2476032 2477768 2501824 2531328 2555904 2557696 2573558 2582528 2631032 2656576 2715904 2742272 2952192 2982944 3047424 3079168 3087219 3117192 3145728 3167456 3178496 3198208 3269632 3301376 3310008 3375104 3407872 3635463 3716652 3752736 3836544 3860337 3873792 3936256 3946548 3984864 4026373 4063232 4073856 4113408 4116292 4156256 4275427 4413344 4474416 4618752 4751184 4767744 4797312 4847284 4904448 4952064 4955536 5003648 5062656 5111808 5115392 5147116 5165056 5262064 5313152 5431808 5484544 5904384 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48608337248256 49080262852608 50176348127232 52116155400192 52659032018944 54357710471168 64811116331008 65440350470144 69488207200256 78988548028416 81536565706752 97216674496512 98160525705216 100352696254464 104232310800384 105318064037888 108715420942336 129622232662016 130880700940288 138976414400512 157977096056832 163073131413504 194433348993024 196321051410432 208464621600768 210636128075776 217430841884672 259244465324032 315954192113664 326146262827008 388866697986048 392642102820864 416929243201536 421272256151552 434861683769344 518488930648064 631908384227328 652292525654016 777733395972096 842544512303104 1036977861296128 1263816768454656 1304585051308032 1555466791944192 1685089024606208 2527633536909312 3110933583888384 3370178049212416 5055267073818624 6740356098424832 10110534147637248 13480712196849664 20221068295274496 40442136590548992
- Sum of all divisors σ(n): 122434597533426192
- Sum of proper divisors (its aliquot sum) s(n): 81992460942877200
- 40442136590548992 is an abundant number, because the sum of its proper divisors (81992460942877200) is greater than itself. Its abundance is 41550324352328208
Bases of 40442136590548992
- Binary: 100011111010110111101000101100010111000000000000000000002
- Hexadecimal: 0x8FADE8B1700000
- Base-36: B27JH2CZMDC
Squares and roots of 40442136590548992
- 40442136590548992 squared (404421365905489922) is 1635566412008621647001935952216064
- 40442136590548992 cubed (404421365905489923) is 66145800237366805781344494989184660302460761407488
-
The
square root of 40442136590548992 is 201102303.7922464775 -
The
cube root of 40442136590548992 is 343250.6464972065
Scales and comparisons
How big is 40442136590548992?- 40,442,136,590,548,992 seconds is equal to 1,285,934,847 years, 43 weeks, 3 days, 20 hours, 3 minutes, 12 seconds.
-
To count from 1 to 40,442,136,590,548,992 would take you about three billion, eight hundred fifty-seven million, eight hundred four thousand, five hundred forty-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 40442136590548992 cubic inches would be around 28604.2 feet tall.
Recreational maths with 40442136590548992
- 40442136590548992 backwards is 29984509563124404
- The number of decimal digits it has is: 17
- The sum of 40442136590548992's digits is 75
- More coming soon!
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"Number 40442136590548992 - Facts about the integer". Numbermatics.com. 2024. Web. 15 June 2024.
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Numbermatics. (2024). Number 40442136590548992 - Facts about the integer. Retrieved 15 June 2024, from https://numbermatics.com/n/40442136590548992/
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The information we have on file for 40442136590548992 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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