13907984845404000
13,907,984,845,404,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13907984845404000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 3456 divisors.
13907984845404000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three thousand, four hundred fifty-six divisors.
Prime factorization of 13907984845404000:
25 × 3 × 53 × 132 × 172 × 61 × 733
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 13 × 13 × 17 × 17 × 61 × 73 × 73 × 73)See below for interesting mathematical facts about the number 13907984845404000 from the Numbermatics database.
Names of 13907984845404000
- Cardinal: 13907984845404000 can be written as Thirteen quadrillion, nine hundred seven trillion, nine hundred eighty-four billion, eight hundred forty-five million, four hundred four thousand.
Scientific notation
- Scientific notation: 1.3907984845404 × 1016
Factors of 13907984845404000
Divisors of 13907984845404000
- Number of divisors d(n): 3456
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 17 20 24 25 26 30 32 34 39 40 48 50 51 52 60 61 65 68 73 75 78 80 85 96 100 102 104 120 122 125 130 136 146 150 156 160 169 170 183 195 200 204 208 219 221 240 244 250 255 260 272 289 292 300 305 312 325 338 340 365 366 375 390 400 408 416 425 438 442 480 488 500 507 510 520 544 578 584 600 610 624 650 663 676 680 730 732 750 780 793 800 816 845 850 867 876 884 915 949 975 976 1000 1014 1020 1037 1040 1095 1105 1156 1168 1200 1220 1241 1248 1275 1300 1326 1352 1360 1445 1460 1464 1500 1525 1560 1586 1625 1632 1690 1700 1734 1752 1768 1825 1830 1898 1950 1952 2000 2028 2040 2074 2080 2125 2190 2210 2312 2336 2379 2400 2440 2482 2535 2550 2600 2652 2704 2720 2847 2873 2890 2920 2928 3000 3050 3111 3120 3172 3250 3315 3380 3400 3468 3504 3536 3650 3660 3723 3757 3796 3900 3965 4000 4056 4080 4148 4225 4250 4335 4380 4420 4453 4575 4624 4745 4758 4875 4880 4964 5070 5100 5185 5200 5304 5329 5408 5475 5525 5694 5746 5780 5840 5856 6000 6100 6205 6222 6240 6344 6375 6500 6630 6760 6800 6936 7008 7072 7225 7300 7320 7446 7514 7592 7625 7800 7930 8112 8160 8296 8450 8500 8619 8670 8760 8840 8906 9125 9150 9248 9490 9516 9750 9760 9928 10140 10200 10309 10370 10400 10608 10658 10950 11050 11271 11388 11492 11560 11680 11895 12000 12200 12337 12410 12444 12675 12688 12750 13000 13260 13359 13481 13520 13600 13872 14235 14365 14450 14600 14640 14892 15028 15184 15250 15555 15600 15860 15987 16133 16224 16575 16592 16900 17000 17238 17340 17520 17629 17680 17812 18250 18300 18615 18785 18980 19032 19500 19825 19856 20280 20400 20618 20740 21097 21125 21216 21316 21675 21900 22100 22265 22542 22776 22875 22984 23120 23725 23790 24400 24674 24820 24888 25350 25376 25500 25925 26000 26520 26645 26718 26962 27040 27375 27625 27744 28470 28730 28900 29200 29280 29784 30056 30368 30500 30927 31025 31110 31200 31720 31974 32266 33150 33184 33800 34000 34476 34680 35040 35258 35360 35624 36125 36500 36600 37011 37230 37570 37960 38064 39000 39650 39712 40443 40560 40800 41236 41480 42194 42250 42632 43095 43350 43800 44200 44530 45084 45552 45750 45968 46240 47450 47580 48399 48800 48841 49348 49640 49776 50700 51000 51545 51850 52000 52887 53040 53290 53436 53924 54750 55250 56355 56940 57460 57800 57889 58400 59475 59568 60112 61000 61685 61854 62050 62220 63291 63375 63440 63948 64532 66300 66795 67405 67600 68000 68952 69277 69360 70516 71175 71248 71825 72250 73000 73200 74022 74460 75140 75701 75920 76128 77775 78000 79300 79935 80665 80886 81120 82472 82875 82960 84388 84500 85264 86190 86700 87600 88145 88400 89060 90168 90593 91104 91500 91936 93075 93925 94900 95160 96798 97682 98696 99125 99280 99552 101400 102000 103090 103700 105485 105774 106080 106580 106872 107848 108375 109500 110500 111325 112710 113880 114920 115600 115778 118625 118950 119136 120224 122000 123370 123708 124100 124440 126582 126750 126880 127896 129064 129625 132600 133225 133590 134810 135200 137904 138554 138720 141032 142350 142496 143650 144500 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37999958594000 38104068069600 40905837780600 41147884158000 42793799524320 44576874504500 45599950312800 46359949484680 47630085087000 48124515036000 51132297225750 53492249405400 54541117040800 55631939381616 56999937891000 57949936855850 62932058124000 63506780116000 66865311756750 68176396301000 69539924227020 71322999207200 75999917188000 81811675561200 82295768316000 86924905283775 89153749009000 92719898969360 95260170174000 102264594451500 106984498810800 111263878763232 113999875782000 115899873711700 133730623513500 136352792602000 139079848454040 144874842139625 163623351122400 173849810567550 178307498018000 185439797938720 190520340348000 204529188903000 213968997621600 227999751564000 231799747423400 267461247027000 272705585204000 278159696908080 289749684279250 347699621135100 356614996036000 409058377806000 434624526418875 463599494846800 534922494054000 556319393816160 579499368558500 695399242270200 818116755612000 869249052837750 927198989693600 1069844988108000 1158998737117000 1390798484540400 1738498105675500 2317997474234000 2781596969080800 3476996211351000 4635994948468000 6953992422702000 13907984845404000
- Sum of all divisors σ(n): 54008886383786880
- Sum of proper divisors (its aliquot sum) s(n): 40100901538382880
- 13907984845404000 is an abundant number, because the sum of its proper divisors (40100901538382880) is greater than itself. Its abundance is 26192916692978880
Bases of 13907984845404000
- Binary: 1100010110100100111101000100000100000001110111011000002
- Hexadecimal: 0x31693D10407760
- Base-36: 3SXYW17FCDC
Squares and roots of 13907984845404000
- 13907984845404000 squared (139079848454040002) is 193432042459987325779923216000000
- 13907984845404000 cubed (139079848454040003) is 2690249915149046790993084773006750499264000000000
-
The
square root of 13907984845404000 is 117932119.6511111641 -
The
cube root of 13907984845404000 is 240485.0424746775
Scales and comparisons
How big is 13907984845404000?- 13,907,984,845,404,000 seconds is equal to 442,230,897 years, 44 weeks, 5 days, 19 hours, 20 minutes.
-
To count from 1 to 13,907,984,845,404,000 would take you about one billion, three hundred twenty-six million, six hundred ninety-two thousand, six hundred ninety-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 13907984845404000 cubic inches would be around 20040.4 feet tall.
Recreational maths with 13907984845404000
- 13907984845404000 backwards is 00040454848970931
- The number of decimal digits it has is: 17
- The sum of 13907984845404000's digits is 66
- More coming soon!
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"Number 13907984845404000 - Facts about the integer". Numbermatics.com. 2024. Web. 25 June 2024.
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Numbermatics. (2024). Number 13907984845404000 - Facts about the integer. Retrieved 25 June 2024, from https://numbermatics.com/n/13907984845404000/
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The information we have on file for 13907984845404000 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!
Keywords: Divisors of 13907984845404000, math, Factors of 13907984845404000, curriculum, school, college, exams, university, Prime factorization of 13907984845404000, STEM, science, technology, engineering, physics, economics, calculator, thirteen quadrillion, nine hundred seven trillion, nine hundred eighty-four billion, eight hundred forty-five million, four hundred four thousand.