13399412168677248
13,399,412,168,677,248 is an even composite number composed of six prime numbers multiplied together.
What does the number 13399412168677248 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2400 divisors.
13399412168677248 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, four hundred divisors.
Prime factorization of 13399412168677248:
27 × 34 × 7 × 17 × 234 × 1972
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 7 × 17 × 23 × 23 × 23 × 23 × 197 × 197)See below for interesting mathematical facts about the number 13399412168677248 from the Numbermatics database.
Names of 13399412168677248
- Cardinal: 13399412168677248 can be written as Thirteen quadrillion, three hundred ninety-nine trillion, four hundred twelve billion, one hundred sixty-eight million, six hundred seventy-seven thousand, two hundred forty-eight.
Scientific notation
- Scientific notation: 1.3399412168677248 × 1016
Factors of 13399412168677248
Divisors of 13399412168677248
- Number of divisors d(n): 2400
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 17 18 21 23 24 27 28 32 34 36 42 46 48 51 54 56 63 64 68 69 72 81 84 92 96 102 108 112 119 126 128 136 138 144 153 161 162 168 184 189 192 197 204 207 216 224 238 252 272 276 288 306 322 324 336 357 368 378 384 391 394 408 414 432 448 459 476 483 504 529 544 552 567 576 591 612 621 644 648 672 714 736 756 782 788 816 828 864 896 918 952 966 1008 1058 1071 1088 1104 1134 1152 1173 1182 1224 1242 1288 1296 1344 1377 1379 1428 1449 1472 1512 1564 1576 1587 1632 1656 1728 1773 1836 1863 1904 1932 2016 2116 2142 2176 2208 2268 2346 2364 2448 2484 2576 2592 2688 2737 2754 2758 2856 2898 2944 3024 3128 3152 3174 3213 3264 3312 3349 3456 3519 3546 3672 3703 3726 3808 3864 4032 4137 4232 4284 4347 4416 4531 4536 4692 4728 4761 4896 4968 5152 5184 5319 5474 5508 5516 5712 5796 6048 6256 6304 6348 6426 6528 6624 6698 7038 7092 7344 7406 7452 7616 7728 8064 8211 8274 8464 8568 8694 8832 8993 9062 9072 9384 9456 9522 9639 9792 9936 10047 10304 10368 10557 10638 10948 11016 11032 11109 11424 11592 12096 12167 12411 12512 12608 12696 12852 13041 13248 13396 13593 14076 14184 14283 14688 14812 14904 15232 15456 15957 16422 16548 16928 17136 17388 17986 18124 18144 18768 18912 19044 19278 19584 19872 20094 20608 21114 21276 21896 22032 22064 22218 22848 23184 23443 24192 24334 24633 24822 25024 25216 25392 25704 26082 26496 26792 26979 27186 28152 28368 28566 29376 29624 29808 30141 30912 31671 31717 31914 32844 33096 33327 33856 34272 34776 35972 36248 36288 36501 37233 37536 37824 38088 38556 38809 39744 40188 40779 42228 42552 42849 43792 44064 44128 44436 45696 46368 46886 48668 49266 49644 50048 50784 51408 52164 53584 53958 54372 56304 56736 57132 58752 59248 59616 60282 61824 62951 63342 63434 63828 65688 66192 66654 67712 68544 69552 70329 71944 72496 72576 73002 73899 74466 75072 75648 76176 77027 77112 77618 79488 80376 80937 81558 84456 85104 85169 85698 87584 88128 88256 88872 90423 92736 93772 95151 97336 98532 99288 99981 101568 102816 104213 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43788928655808 46525736696796 48548594814048 49262544737784 53172270510624 56300051128896 59818804324452 62034315595728 64731459752064 65683392983712 68017320653184 69788605045194 70896360680832 72822892221072 79758405765936 82712420794304 83226162538368 87577857311616 93051473393592 97097189628096 98525089475568 104682907567791 106344541021248 112600102257792 119637608648904 124068631191456 131366785967424 139577210090388 145645784442144 159516811531872 165424841588608 186102946787184 194194379256192 197050178951136 209365815135582 212689082042496 239275217297808 248137262382912 262733571934848 279154420180776 291291568884288 319033623063744 372205893574368 394100357902272 418731630271164 478550434595616 496274524765824 558308840361552 582583137768576 638067246127488 744411787148736 788200715804544 837463260542328 957100869191232 1116617680723104 1488823574297472 1674926521084656 1914201738382464 2233235361446208 3349853042169312 4466470722892416 6699706084338624 13399412168677248
- Sum of all divisors σ(n): 50704560767892240
- Sum of proper divisors (its aliquot sum) s(n): 37305148599214992
- 13399412168677248 is an abundant number, because the sum of its proper divisors (37305148599214992) is greater than itself. Its abundance is 23905736430537744
Bases of 13399412168677248
- Binary: 1011111001101010110001110000101000001101010111100000002
- Hexadecimal: 0x2F9AB1C2835780
- Base-36: 3NXP0YYNS00
Squares and roots of 13399412168677248
- 13399412168677248 squared (133994121686772482) is 179544246466095910408365992853504
- 13399412168677248 cubed (133994121686772483) is 2405787360913792523211567656770887590964721876992
-
The
square root of 13399412168677248 is 115755829.9554594701 -
The
cube root of 13399412168677248 is 237517.3005675433
Scales and comparisons
How big is 13399412168677248?- 13,399,412,168,677,248 seconds is equal to 426,059,859 years, 44 weeks, 5 days, 7 hours, 40 minutes, 48 seconds.
-
To count from 1 to 13,399,412,168,677,248 would take you about one billion, two hundred seventy-eight million, one hundred seventy-nine thousand, five hundred seventy-nine 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 13399412168677248 cubic inches would be around 19793.1 feet tall.
Recreational maths with 13399412168677248
- 13399412168677248 backwards is 84277686121499331
- 13399412168677248 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13399412168677248's digits is 81
- More coming soon!
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"Number 13399412168677248 - Facts about the integer". Numbermatics.com. 2024. Web. 20 June 2024.
APA style:
Numbermatics. (2024). Number 13399412168677248 - Facts about the integer. Retrieved 20 June 2024, from https://numbermatics.com/n/13399412168677248/
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The information we have on file for 13399412168677248 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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