13642414968
13,642,414,968 is an even composite number composed of seven prime numbers multiplied together.
13642414968 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 13642414968:
23 × 3 × 72 × 13 × 53 × 113 × 149
(2 × 2 × 2 × 3 × 7 × 7 × 13 × 53 × 113 × 149)See below for interesting mathematical facts about the number 13642414968 from the Numbermatics database.
Names of 13642414968
- Cardinal: 13642414968 can be written as Thirteen billion, six hundred forty-two million, four hundred fourteen thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 1.3642414968 × 1010
Factors of 13642414968
Divisors of 13642414968
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 49 52 53 56 78 84 91 98 104 106 113 147 149 156 159 168 182 196 212 226 273 294 298 312 318 339 364 371 392 424 447 452 546 588 596 636 637 678 689 728 742 791 894 904 1043 1092 1113 1176 1192 1272 1274 1356 1378 1469 1484 1582 1788 1911 1937 2067 2086 2184 2226 2373 2548 2597 2712 2756 2938 2968 3129 3164 3576 3822 3874 4134 4172 4407 4452 4746 4823 5096 5194 5512 5537 5811 5876 5989 6258 6328 7301 7644 7748 7791 7897 8268 8344 8814 8904 9492 9646 10283 10388 11074 11622 11752 11978 12516 13559 14469 14602 15288 15496 15582 15794 16536 16611 16837 17628 17967 18984 19292 20566 20776 21903 22148 23244 23691 23956 25032 27118 28938 29204 30849 31164 31588 33222 33674 33761 35256 35934 38584 40677 41132 41923 43806 44296 46488 47382 47912 50511 54236 55279 57876 58408 61698 62328 63176 66444 67348 67522 71868 71981 77857 81354 82264 83846 87612 94764 94913 101022 101283 102661 108472 110558 115752 117859 123396 125769 132888 134696 135044 143736 143962 155714 162708 165837 167692 175224 189528 189826 202044 202566 205322 215943 218881 221116 233571 235718 246792 251538 270088 284739 287924 293461 307983 311428 325416 331674 335384 353577 379652 386953 404088 405132 410644 431886 437762 442232 467142 471436 503076 544999 569478 575848 586922 615966 622856 656643 663348 707154 718627 759304 773906 810264 821288 825013 863772 875524 880383 892361 934284 942872 1006152 1089998 1138956 1160859 1173844 1231932 1313286 1326696 1414308 1437254 1532167 1547812 1634997 1650026 1727544 1751048 1760766 1784722 1868568 2155881 2179996 2277912 2321718 2347688 2463864 2475039 2626572 2677083 2828616 2874508 3064334 3095624 3269994 3300052 3521532 3569444 3814993 4311762 4359992 4596501 4643436 4950078 5030389 5253144 5354166 5749016 6128668 6246527 6539988 6600104 7043064 7138888 7629986 8623524 9193002 9286872 9900156 10060778 10708332 10725169 11444979 11600693 12257336 12493054 13079976 15091167 15259972 17247048 18386004 18739581 19800312 20121556 21416664 21450338 22889958 23201386 24986108 30182334 30519944 32175507 34802079 36772008 37479162 40243112 42900676 43725689 45779916 46402772 49972216 60364668 64351014 69604158 74958324 81204851 85801352 87451378 91559832 92805544 120729336 128702028 131177067 139208316 149916648 162409702 174902756 243614553 257404056 262354134 278416632 324819404 349805512 487229106 524708268 568433957 649638808 974458212 1049416536 1136867914 1705301871 1948916424 2273735828 3410603742 4547471656 6821207484 13642414968
- Sum of all divisors σ(n): 44212392000
- Sum of proper divisors (its aliquot sum) s(n): 30569977032
- 13642414968 is an abundant number, because the sum of its proper divisors (30569977032) is greater than itself. Its abundance is 16927562064
Bases of 13642414968
- Binary: 11001011010010011010111011011110002
- Hexadecimal: 0x32D26BB78
- Base-36: 69MCARC
Squares and roots of 13642414968
- 13642414968 squared (136424149682) is 186115486159110441024
- 13642414968 cubed (136424149683) is 2539064694153645110190898847232
-
The
square root of 13642414968 is 116800.7490044479 -
The
cube root of 13642414968 is 2389.4452572421
Scales and comparisons
How big is 13642414968?- 13,642,414,968 seconds is equal to 433 years, 40 weeks, 6 days, 7 hours, 42 minutes, 48 seconds.
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To count from 1 to 13,642,414,968 would take you about eight hundred sixty-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 13642414968 cubic inches would be around 199.1 feet tall.
Recreational maths with 13642414968
- 13642414968 backwards is 86941424631
- The number of decimal digits it has is: 11
- The sum of 13642414968's digits is 48
- More coming soon!
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