13578968596710400
13,578,968,596,710,400 is an even composite number composed of five prime numbers multiplied together.
13578968596710400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred sixty-four divisors.
Prime factorization of 13578968596710400:
210 × 52 × 13 × 19 × 2147483647
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 13 × 19 × 2147483647)See below for interesting mathematical facts about the number 13578968596710400 from the Numbermatics database.
Names of 13578968596710400
- Cardinal: 13578968596710400 can be written as Thirteen quadrillion, five hundred seventy-eight trillion, nine hundred sixty-eight billion, five hundred ninety-six million, seven hundred ten thousand, four hundred.
Scientific notation
- Scientific notation: 1.35789685967104 × 1016
Factors of 13578968596710400
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 15
- Sum of prime factors: 2147483686
Divisors of 13578968596710400
- Number of divisors d(n): 264
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Complete list of divisors:
1 2 4 5 8 10 13 16 19 20 25 26 32 38 40 50 52 64 65 76 80 95 100 104 128 130 152 160 190 200 208 247 256 260 304 320 325 380 400 416 475 494 512 520 608 640 650 760 800 832 950 988 1024 1040 1216 1235 1280 1300 1520 1600 1664 1900 1976 2080 2432 2470 2560 2600 3040 3200 3328 3800 3952 4160 4864 4940 5120 5200 6080 6175 6400 6656 7600 7904 8320 9728 9880 10400 12160 12350 12800 13312 15200 15808 16640 19456 19760 20800 24320 24700 25600 30400 31616 33280 39520 41600 48640 49400 60800 63232 66560 79040 83200 97280 98800 121600 126464 158080 166400 197600 243200 252928 316160 332800 395200 486400 632320 790400 1264640 1580800 3161600 6323200 2147483647 4294967294 8589934588 10737418235 17179869176 21474836470 27917287411 34359738352 40802189293 42949672940 53687091175 55834574822 68719476704 81604378586 85899345880 107374182350 111669149644 137438953408 139586437055 163208757172 171798691760 204010946465 214748364700 223338299288 274877906816 279172874110 326417514344 343597383520 408021892930 429496729400 446676598576 530428460809 549755813632 558345748220 652835028688 687194767040 697932185275 816043785860 858993458800 893353197152 1020054732325 1060856921618 1099511627264 1116691496440 1305670057376 1374389534080 1395864370550 1632087571720 1717986917600 1786706394304 2040109464650 2121713843236 2199023254528 2233382992880 2611340114752 2652142304045 2748779068160 2791728741100 3264175143440 3435973835200 3573412788608 4080218929300 4243427686472 4466765985760 5222680229504 5304284608090 5497558136320 5583457482200 6528350286880 6871947670400 7146825577216 8160437858600 8486855372944 8933531971520 10445360459008 10608569216180 10995116272640 11166914964400 13056700573760 13260711520225 13743895340800 14293651154432 16320875717200 16973710745888 17867063943040 20890720918016 21217138432360 22333829928800 26113401147520 26521423040450 27487790681600 28587302308864 32641751434400 33947421491776 35734127886080 41781441836032 42434276864720 44667659857600 52226802295040 53042846080900 54975581363200 65283502868800 67894842983552 71468255772160 84868553729440 89335319715200 104453604590080 106085692161800 130567005737600 135789685967104 142936511544320 169737107458880 178670639430400 208907209180160 212171384323600 261134011475200 271579371934208 339474214917760 357341278860800 424342768647200 522268022950400 543158743868416 678948429835520 714682557721600 848685537294400 1044536045900800 1357896859671040 1697371074588800 2715793719342080 3394742149177600 6789484298355200 13578968596710400
- Sum of all divisors σ(n): 38156403558318080
- Sum of proper divisors (its aliquot sum) s(n): 24577434961607680
- 13578968596710400 is an abundant number, because the sum of its proper divisors (24577434961607680) is greater than itself. Its abundance is 10998466364897280
Bases of 13578968596710400
- Binary: 1100000011110111111111111111111001111110000100000000002
- Hexadecimal: 0x303DFFFF9F8400
- Base-36: 3PPCC1ZWGSG
Squares and roots of 13578968596710400
- 13578968596710400 squared (135789685967104002) is 184388388150447209797701468160000
- 13578968596710400 cubed (135789685967104003) is 2503804132292970696140889446968021026340864000000
-
The
square root of 13578968596710400 is 116528831.6113673217 -
The
cube root of 13578968596710400 is 238573.5326197029
Scales and comparisons
How big is 13578968596710400?- 13,578,968,596,710,400 seconds is equal to 431,769,198 years, 45 weeks, 20 hours, 26 minutes, 40 seconds.
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To count from 1 to 13,578,968,596,710,400 would take you about one billion, two hundred ninety-five million, three hundred seven thousand, five hundred ninety-six 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 13578968596710400 cubic inches would be around 19881.1 feet tall.
Recreational maths with 13578968596710400
- 13578968596710400 backwards is 00401769586987531
- The number of decimal digits it has is: 17
- The sum of 13578968596710400's digits is 79
- More coming soon!
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