13968320800
13,968,320,800 is an even composite number composed of six prime numbers multiplied together.
What does the number 13968320800 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 288 divisors.
13968320800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 13968320800:
25 × 52 × 7 × 59 × 67 × 631
(2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 59 × 67 × 631)See below for interesting mathematical facts about the number 13968320800 from the Numbermatics database.
Names of 13968320800
- Cardinal: 13968320800 can be written as Thirteen billion, nine hundred sixty-eight million, three hundred twenty thousand, eight hundred.
Scientific notation
- Scientific notation: 1.39683208 × 1010
Factors of 13968320800
Divisors of 13968320800
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 59 67 70 80 100 112 118 134 140 160 175 200 224 236 268 280 295 335 350 400 413 469 472 536 560 590 631 670 700 800 826 938 944 1072 1120 1180 1262 1340 1400 1475 1652 1675 1876 1888 2065 2144 2345 2360 2524 2680 2800 2950 3155 3304 3350 3752 3953 4130 4417 4690 4720 5048 5360 5600 5900 6310 6608 6700 7504 7906 8260 8834 9380 9440 10096 10325 10720 11725 11800 12620 13216 13400 15008 15775 15812 16520 17668 18760 19765 20192 20650 22085 23450 23600 25240 26800 27671 31550 31624 33040 35336 37229 37520 39530 41300 42277 44170 46900 47200 50480 53600 55342 63100 63248 66080 70672 74458 75040 79060 82600 84554 88340 93800 98825 100960 110425 110684 126200 126496 138355 141344 148916 158120 165200 169108 176680 186145 187600 197650 211385 220850 221368 252400 260603 276710 295939 297832 316240 330400 338216 353360 372290 375200 395300 422770 441700 442736 504800 521206 553420 591878 595664 632480 676432 691775 706720 744580 790600 845540 883400 885472 930725 1042412 1056925 1106840 1183756 1191328 1303015 1352864 1383550 1479695 1489160 1581200 1691080 1766800 1861450 2084824 2113850 2213680 2367512 2494343 2606030 2767100 2959390 2978320 3162400 3382160 3533600 3722900 4169648 4227700 4427360 4735024 4988686 5212060 5534200 5918780 5956640 6515075 6764320 7398475 7445800 8339296 8455400 9470048 9977372 10424120 11068400 11837560 12471715 13030150 14796950 14891600 16910800 17460401 19954744 20848240 22136800 23675120 24943430 26060300 29593900 29783200 33821600 34920802 39909488 41696480 47350240 49886860 52120600 59187800 62358575 69841604 79818976 87302005 99773720 104241200 118375600 124717150 139683208 174604010 199547440 208482400 236751200 249434300 279366416 349208020 399094880 436510025 498868600 558732832 698416040 873020050 997737200 1396832080 1746040100 1995474400 2793664160 3492080200 6984160400 13968320800
- Sum of all divisors σ(n): 40287421440
- Sum of proper divisors (its aliquot sum) s(n): 26319100640
- 13968320800 is an abundant number, because the sum of its proper divisors (26319100640) is greater than itself. Its abundance is 12350779840
Bases of 13968320800
- Binary: 11010000001001001110101001001000002
- Hexadecimal: 0x34093A920
- Base-36: 6F0DLB4
Squares and roots of 13968320800
- 13968320800 squared (139683208002) is 195113985971712640000
- 13968320800 cubed (139683208003) is 2725414748619581880934912000000
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The
square root of 13968320800 is 118187.6507931349 -
The
cube root of 13968320800 is 2408.3230013035
Scales and comparisons
How big is 13968320800?- 13,968,320,800 seconds is equal to 444 years, 7 weeks, 5 days, 9 hours, 6 minutes, 40 seconds.
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To count from 1 to 13,968,320,800 would take you about eight hundred eighty-eight 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 13968320800 cubic inches would be around 200.7 feet tall.
Recreational maths with 13968320800
- 13968320800 backwards is 00802386931
- 13968320800 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 13968320800's digits is 40
- More coming soon!
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