13742315462304
13,742,315,462,304 is an even composite number composed of eight prime numbers multiplied together.
13742315462304 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 13742315462304:
25 × 35 × 11 × 13 × 29 × 31 × 59 × 233
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 11 × 13 × 29 × 31 × 59 × 233)See below for interesting mathematical facts about the number 13742315462304 from the Numbermatics database.
Names of 13742315462304
- Cardinal: 13742315462304 can be written as Thirteen trillion, seven hundred forty-two billion, three hundred fifteen million, four hundred sixty-two thousand, three hundred four.
Scientific notation
- Scientific notation: 1.3742315462304 × 1013
Factors of 13742315462304
Divisors of 13742315462304
- Number of divisors d(n): 2304
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 27 29 31 32 33 36 39 44 48 52 54 58 59 62 66 72 78 81 87 88 93 96 99 104 108 116 117 118 124 132 143 144 156 162 174 176 177 186 198 208 216 232 233 234 236 243 248 261 264 279 286 288 297 312 319 324 341 348 351 352 354 372 377 396 403 416 429 432 464 466 468 472 486 496 522 528 531 558 572 594 624 638 648 649 682 696 699 702 708 744 754 767 783 792 806 837 858 864 891 899 928 932 936 944 957 972 992 1023 1044 1053 1056 1062 1116 1131 1144 1188 1209 1248 1276 1287 1296 1298 1364 1392 1398 1404 1416 1488 1508 1534 1566 1584 1593 1612 1674 1711 1716 1782 1798 1829 1864 1872 1888 1914 1944 1947 2046 2088 2097 2106 2124 2232 2262 2288 2301 2349 2376 2418 2511 2552 2563 2574 2592 2596 2673 2697 2728 2784 2796 2808 2832 2871 2976 3016 3029 3068 3069 3132 3159 3168 3186 3224 3348 3393 3422 3432 3564 3596 3627 3658 3728 3744 3828 3861 3888 3894 4092 4147 4176 4194 4212 4248 4433 4464 4524 4576 4602 4698 4752 4779 4836 5022 5104 5126 5133 5148 5192 5346 5394 5456 5487 5592 5616 5664 5742 5841 6032 6058 6136 6138 6264 6291 6318 6372 6448 6696 6757 6786 6844 6864 6903 7047 7128 7192 7223 7254 7316 7456 7533 7656 7689 7722 7776 7788 8091 8184 8294 8352 8388 8424 8437 8496 8613 8866 8928 9048 9087 9204 9207 9396 9504 9558 9672 9889 10044 10179 10208 10252 10266 10296 10384 10692 10788 10881 10912 10974 11184 11232 11484 11583 11682 11687 12064 12116 12272 12276 12441 12528 12582 12636 12744 12896 13299 13392 13514 13572 13688 13728 13747 13806 14094 14256 14337 14384 14446 14508 14632 15066 15312 15378 15399 15444 15576 16182 16368 16461 16588 16776 16848 16874 16992 17226 17523 17732 18096 18174 18408 18414 18792 18821 18873 19116 19344 19778 20088 20119 20271 20358 20504 20532 20592 20709 20768 21384 21576 21669 21762 21948 22243 22368 22968 23067 23166 23364 23374 23777 24232 24273 24544 24552 24882 25056 25164 25272 25311 25488 25839 26598 26784 27028 27144 27261 27376 27494 27612 27621 28188 28512 28674 28768 28892 29016 29264 29667 30132 30537 30624 30756 30798 30888 31152 32364 32643 32736 32922 33176 33319 33552 33696 33748 34452 34749 35046 35061 35464 36192 36348 36816 36828 37323 37584 37642 37746 38232 38688 39556 39897 40176 40238 40542 40716 41008 41064 41184 41241 41418 42768 43152 43338 43524 43896 44486 45936 46134 46197 46332 46728 46748 47554 48464 48546 49104 49383 49764 50328 50544 50622 50976 51678 52569 53041 53196 54056 54288 54522 54752 54988 55224 55242 56376 56463 56619 57348 57784 58032 58528 59334 60264 60357 60813 61074 61512 61596 61776 62127 62304 64728 65007 65286 65844 66352 66638 66729 67104 67496 68904 69201 69498 70092 70122 70928 71331 72696 72819 73632 73656 74327 74646 75168 75284 75492 75933 76464 77517 79112 79453 79794 80352 80476 81084 81432 81783 82016 82128 82482 82836 82863 85536 86304 86676 87048 87792 87841 88972 89001 91611 91872 92268 92394 92664 93456 93496 93899 95108 96928 97092 97929 98208 98766 99528 99957 100656 101088 101244 103356 105138 105183 106082 106392 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96100108128 104108450472 110825124696 116460300528 117455687712 118468236744 127243661688 132137648676 138811267296 143149119399 147766832928 156162675708 157957648992 169658215584 176183531568 190865492532 208216900944 221650249392 232920601056 236936473488 254487323376 264275297352 286298238798 312325351416 352367063136 381730985064 416433801888 429447358197 443300498784 473872946976 508974646752 528550594704 572596477596 624650702832 763461970128 858894716394 1057101189408 1145192955192 1249301405664 1526923940256 1717789432788 2290385910384 3435578865576 4580771820768 6871157731152 13742315462304
- Sum of all divisors σ(n): 51926560358400
- Sum of proper divisors (its aliquot sum) s(n): 38184244896096
- 13742315462304 is an abundant number, because the sum of its proper divisors (38184244896096) is greater than itself. Its abundance is 24441929433792
Bases of 13742315462304
- Binary: 110001111111101000011101010011011110101000002
- Hexadecimal: 0xC7FA1D4DEA0
- Base-36: 4VD4RT600
Squares and roots of 13742315462304
- 13742315462304 squared (137423154623042) is 188851234265479601244988416
- 13742315462304 cubed (137423154623043) is 2595253236721695312251304557986164670464
-
The
square root of 13742315462304 is 3707062.9158815203 -
The
cube root of 13742315462304 is 23952.6354419351
Scales and comparisons
How big is 13742315462304?- 13,742,315,462,304 seconds is equal to 436,963 years, 6 weeks, 3 days, 2 hours, 38 minutes, 24 seconds.
-
To count from 1 to 13,742,315,462,304 would take you about one million, ninety-two thousand, four hundred seven 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 13742315462304 cubic inches would be around 1996.1 feet tall.
Recreational maths with 13742315462304
- 13742315462304 backwards is 40326451324731
- The number of decimal digits it has is: 14
- The sum of 13742315462304's digits is 45
- More coming soon!
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Cite this page
MLA style:
"Number 13742315462304 - Facts about the integer". Numbermatics.com. 2024. Web. 29 May 2024.
APA style:
Numbermatics. (2024). Number 13742315462304 - Facts about the integer. Retrieved 29 May 2024, from https://numbermatics.com/n/13742315462304/
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Numbermatics. 2024. "Number 13742315462304 - Facts about the integer". https://numbermatics.com/n/13742315462304/
The information we have on file for 13742315462304 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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