1042946331110905144
1,042,946,331,110,905,144 is an even composite number composed of seven prime numbers multiplied together.
1042946331110905144 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two hundred fifty-six divisors.
Prime factorization of 1042946331110905144:
23 × 7 × 11 × 37 × 67 × 4703 × 145221107
(2 × 2 × 2 × 7 × 11 × 37 × 67 × 4703 × 145221107)See below for interesting mathematical facts about the number 1042946331110905144 from the Numbermatics database.
Names of 1042946331110905144
- Cardinal: 1042946331110905144 can be written as One quintillion, forty-two quadrillion, nine hundred forty-six trillion, three hundred thirty-one billion, one hundred ten million, nine hundred five thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 1.042946331110905144 × 1018
Factors of 1042946331110905144
Divisors of 1042946331110905144
- Number of divisors d(n): 256
-
Complete list of divisors:
1 2 4 7 8 11 14 22 28 37 44 56 67 74 77 88 134 148 154 259 268 296 308 407 469 518 536 616 737 814 938 1036 1474 1628 1876 2072 2479 2849 2948 3256 3752 4703 4958 5159 5698 5896 9406 9916 10318 11396 17353 18812 19832 20636 22792 27269 32921 34706 37624 41272 51733 54538 65842 69412 103466 109076 131684 138824 174011 190883 206932 218152 263368 315101 348022 362131 381766 413864 630202 696044 724262 763532 1218077 1260404 1392088 1448524 1527064 1914121 2205707 2436154 2520808 2897048 3466111 3828242 4411414 4872308 6932222 7656484 8822828 9744616 11658737 13398847 13864444 15312968 17645656 23317474 24262777 26797694 27728888 46634948 48525554 53595388 81611159 93269896 97051108 107190776 128246107 145221107 163222318 194102216 256492214 290442214 326444636 512984428 580884428 652889272 897722749 1016547749 1025968856 1161768856 1597432177 1795445498 2033095498 3194864354 3590890996 4066190996 5373180959 6389728708 7181781992 8132381992 9729814169 10746361918 11182025239 12779457416 19459628338 21492723836 22364050478 37612266713 38919256676 42985447672 44728100956 59104990549 68108699183 75224533426 77838513352 89456201912 107027955859 118209981098 136217398366 150449066852 214055911718 236419962196 272434796732 300898133704 360003124253 413734933843 428111823436 472839924392 544869593464 682974866221 720006248506 749195691013 827469867686 856223646872 1365949732442 1440012497012 1498391382026 1654939735372 2520021869771 2731899464884 2880024994024 2996782764052 3309879470744 3960034366783 4780824063547 5040043739542 5463798929768 5993565528104 7512723528431 7920068733566 9561648127094 10080087479084 15025447056862 15840137467132 19123296254188 20160174958168 25270070050177 27720240567481 30050894113724 31680274934264 38246592508376 45759316036807 50540140100354 52589064699017 55440481134962 60101788227448 91518632073614 101080280200708 105178129398034 110880962269924 176890490351239 183037264147228 202160560401416 210356258796068 221761924539848 277970770551947 320315212257649 353780980702478 366074528294456 420712517592136 503352476404877 555941541103894 640630424515298 707561961404956 1006704952809754 1111883082207788 1281260849030596 1415123922809912 1693094693361859 1945795393863629 2013409905619508 2223766164415576 2562521698061192 3386189386723718 3523467334834139 3891590787727258 4026819811239016 6772378773447436 7046934669668278 7783181575454516 11851662853533013 13544757546894872 14093869339336556 15566363150909032 18624041626980449 23703325707066026 28187738678673112 37248083253960898 47406651414132052 74496166507921796 94813302828264104 130368291388863143 148992333015843592 260736582777726286 521473165555452572 1042946331110905144
- Sum of all divisors σ(n): 2541862537647390720
- Sum of proper divisors (its aliquot sum) s(n): 1498916206536485576
- 1042946331110905144 is an abundant number, because the sum of its proper divisors (1498916206536485576) is greater than itself. Its abundance is 455969875425580432
Bases of 1042946331110905144
- Binary: 1110011110010100101000101001100100011010100110010101001110002
- Hexadecimal: 0xE794A2991A99538
- Base-36: 7X99MA575ET4
Squares and roots of 1042946331110905144
- 1042946331110905144 squared (10429463311109051442) is 1087737049577697787059953278965660736
- 1042946331110905144 cubed (10429463311109051443) is 1134451365070460640558547261591020794638918390981225984
-
The
square root of 1042946331110905144 is 1021247438.7291774961 -
The
cube root of 1042946331110905144 is 1014115.2655372203
Scales and comparisons
How big is 1042946331110905144?- 1,042,946,331,110,905,144 seconds is equal to 33,162,467,284 years, 26 weeks, 3 days, 9 hours, 39 minutes, 4 seconds.
-
To count from 1 to 1,042,946,331,110,905,144 would take you about one hundred sixteen billion, sixty-eight million, six hundred thirty-five thousand, four hundred ninety-five 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 1042946331110905144 cubic inches would be around 84509.6 feet tall.
Recreational maths with 1042946331110905144
- 1042946331110905144 backwards is 4415090111336492401
- The number of decimal digits it has is: 19
- The sum of 1042946331110905144's digits is 58
- More coming soon!
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