13956908359680
13,956,908,359,680 is an even composite number composed of seven prime numbers multiplied together.
13956908359680 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, six hundred eighty-eight divisors.
Prime factorization of 13956908359680:
213 × 33 × 5 × 112 × 13 × 71 × 113
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 11 × 11 × 13 × 71 × 113)See below for interesting mathematical facts about the number 13956908359680 from the Numbermatics database.
Names of 13956908359680
- Cardinal: 13956908359680 can be written as Thirteen trillion, nine hundred fifty-six billion, nine hundred eight million, three hundred fifty-nine thousand, six hundred eighty.
Scientific notation
- Scientific notation: 1.395690835968 × 1013
Factors of 13956908359680
Divisors of 13956908359680
- Number of divisors d(n): 2688
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 13 15 16 18 20 22 24 26 27 30 32 33 36 39 40 44 45 48 52 54 55 60 64 65 66 71 72 78 80 88 90 96 99 104 108 110 113 117 120 121 128 130 132 135 142 143 144 156 160 165 176 180 192 195 198 208 213 216 220 226 234 240 242 256 260 264 270 284 286 288 297 312 320 330 339 351 352 355 360 363 384 390 396 416 426 429 432 440 452 468 480 484 495 512 520 528 540 565 568 572 576 585 594 605 624 639 640 660 678 702 704 710 715 720 726 768 780 781 792 832 852 858 864 880 904 923 936 960 968 990 1017 1024 1040 1056 1065 1080 1089 1130 1136 1144 1152 1170 1188 1210 1243 1248 1278 1280 1287 1320 1356 1404 1408 1420 1430 1440 1452 1469 1485 1536 1560 1562 1573 1584 1664 1695 1704 1716 1728 1755 1760 1808 1815 1846 1872 1917 1920 1936 1980 2034 2048 2080 2112 2130 2145 2160 2178 2260 2272 2288 2304 2340 2343 2376 2420 2486 2496 2556 2560 2574 2640 2712 2769 2808 2816 2840 2860 2880 2904 2938 2970 3051 3072 3120 3124 3146 3168 3195 3267 3328 3390 3408 3432 3456 3510 3520 3616 3630 3692 3729 3744 3834 3840 3861 3872 3905 3960 4068 4096 4160 4224 4260 4290 4320 4356 4407 4520 4544 4576 4608 4615 4680 4686 4719 4752 4840 4972 4992 5085 5112 5120 5148 5280 5424 5445 5538 5616 5632 5680 5720 5760 5808 5876 5940 6102 6144 6215 6240 6248 6292 6336 6390 6435 6534 6656 6780 6816 6864 6912 7020 7029 7040 7232 7260 7345 7384 7458 7488 7668 7680 7722 7744 7810 7865 7920 8023 8136 8192 8307 8320 8448 8520 8580 8591 8640 8712 8814 9040 9088 9152 9216 9230 9360 9372 9438 9504 9585 9680 9944 9984 10153 10170 10224 10240 10296 10560 10848 10890 11076 11187 11232 11264 11360 11440 11520 11616 11715 11752 11880 12204 12288 12430 12480 12496 12584 12672 12780 12870 13068 13221 13312 13560 13632 13673 13728 13824 13845 14040 14058 14080 14157 14464 14520 14690 14768 14916 14976 15255 15336 15360 15444 15488 15620 15730 15840 16046 16159 16272 16335 16614 16640 16896 17040 17160 17182 17280 17424 17628 18080 18176 18304 18432 18460 18645 18720 18744 18876 19008 19170 19305 19360 19888 19968 20306 20340 20448 20480 20592 21087 21120 21696 21780 22035 22152 22374 22464 22528 22720 22880 23040 23232 23430 23504 23595 23760 24069 24408 24576 24860 24921 24960 24992 25168 25344 25560 25740 25773 26136 26442 26624 27120 27264 27346 27456 27648 27690 28080 28116 28160 28314 28928 29040 29380 29536 29832 29952 30459 30510 30672 30720 30888 30976 31240 31460 31680 32092 32318 32544 32670 33228 33280 33561 33792 34080 34320 34364 34560 34848 35145 35256 36160 36352 36608 36864 36920 37290 37440 37488 37752 38016 38340 38610 38720 39663 39776 39936 40115 40612 40680 40896 40960 41019 41184 41535 42174 42240 42471 42955 43392 43560 44070 44304 44748 44928 45056 45440 45760 46080 46464 46860 47008 47190 47520 48138 48477 48816 49720 49842 49920 49984 50336 50688 50765 51120 51480 51546 52272 52884 53248 54240 54528 54692 54912 55296 55380 55935 56160 56232 56320 56628 57856 58080 58760 59072 59664 59904 60918 61020 61344 61440 61776 61952 62480 62920 63360 64184 64636 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14911226880 15121244160 15439057920 15860123136 16153829120 16266792960 16381347840 16775130240 17622359040 17870561280 17893472256 18173057760 19224391680 19384594944 19520151552 19657617408 19825153920 19881635840 20585410560 21146830848 21807669312 21841797120 22366840320 23069270016 23496478720 23857963008 24230743680 24400189440 24572021760 24702492672 25846126592 26433538560 26840208384 27259586640 28195774464 28836587520 29076892416 29822453760 30878115840 31720246272 32307658240 32533585920 32762695680 33550260480 35244718080 35786944512 36346115520 38448783360 38769189888 39315234816 39650307840 39763271680 41170821120 42293661696 43615338624 44733680640 46992957440 48461487360 48800378880 49144043520 51692253184 52867077120 53680416768 54519173280 57673175040 58153784832 59644907520 61756231680 63440492544 64615316480 65525391360 67100520960 70489436160 71573889024 72692231040 77538379776 79300615680 84587323392 87230677248 89467361280 96922974720 97600757760 98288087040 103384506368 105734154240 107360833536 109038346560 115346350080 116307569664 119289815040 123512463360 126880985088 129230632960 134201041920 140978872320 145384462080 155076759552 158601231360 174461354496 178934722560 193845949440 196576174080 211468308480 214721667072 218076693120 232615139328 253761970176 258461265920 268402083840 290768924160 310153519104 317202462720 348922708992 357869445120 387691898880 422936616960 436153386240 465230278656 516922531840 536804167680 581537848320 634404925440 697845417984 775383797760 872306772480 930460557312 1073608335360 1163075696640 1268809850880 1395690835968 1550767595520 1744613544960 2326151393280 2791381671936 3489227089920 4652302786560 6978454179840 13956908359680
- Sum of all divisors σ(n): 60092697208320
- Sum of proper divisors (its aliquot sum) s(n): 46135788848640
- 13956908359680 is an abundant number, because the sum of its proper divisors (46135788848640) is greater than itself. Its abundance is 32178880488960
Bases of 13956908359680
- Binary: 110010110001100110001001000010100000000000002
- Hexadecimal: 0xCB19890A000
- Base-36: 4Y3PQVPC0
Squares and roots of 13956908359680
- 13956908359680 squared (139569083596802) is 194795290960505468249702400
- 13956908359680 cubed (139569083596803) is 2718740024832976706532624244232159232000
-
The
square root of 13956908359680 is 3735894.5862644467 -
The
cube root of 13956908359680 is 24076.6693744837
Scales and comparisons
How big is 13956908359680?- 13,956,908,359,680 seconds is equal to 443,786 years, 26 weeks, 5 days, 4 hours, 48 minutes.
-
To count from 1 to 13,956,908,359,680 would take you about one million, one hundred nine thousand, four hundred sixty-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 13956908359680 cubic inches would be around 2006.4 feet tall.
Recreational maths with 13956908359680
- 13956908359680 backwards is 08695380965931
- 13956908359680 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13956908359680's digits is 72
- More coming soon!
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MLA style:
"Number 13956908359680 - Facts about the integer". Numbermatics.com. 2024. Web. 19 June 2024.
APA style:
Numbermatics. (2024). Number 13956908359680 - Facts about the integer. Retrieved 19 June 2024, from https://numbermatics.com/n/13956908359680/
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The information we have on file for 13956908359680 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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