13642437120
13,642,437,120 is an even composite number composed of six prime numbers multiplied together.
13642437120 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 13642437120:
29 × 3 × 5 × 132 × 23 × 457
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 13 × 13 × 23 × 457)See below for interesting mathematical facts about the number 13642437120 from the Numbermatics database.
Names of 13642437120
- Cardinal: 13642437120 can be written as Thirteen billion, six hundred forty-two million, four hundred thirty-seven thousand, one hundred twenty.
Scientific notation
- Scientific notation: 1.364243712 × 1010
Factors of 13642437120
Divisors of 13642437120
- Number of divisors d(n): 480
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 23 24 26 30 32 39 40 46 48 52 60 64 65 69 78 80 92 96 104 115 120 128 130 138 156 160 169 184 192 195 208 230 240 256 260 276 299 312 320 338 345 368 384 390 416 457 460 480 507 512 520 552 598 624 640 676 690 736 768 780 832 845 897 914 920 960 1014 1040 1104 1196 1248 1280 1352 1371 1380 1472 1495 1536 1560 1664 1690 1794 1828 1840 1920 2028 2080 2208 2285 2392 2496 2535 2560 2704 2742 2760 2944 2990 3120 3328 3380 3588 3656 3680 3840 3887 4056 4160 4416 4485 4570 4784 4992 5070 5408 5484 5520 5888 5941 5980 6240 6656 6760 6855 7176 7312 7360 7680 7774 8112 8320 8832 8970 9140 9568 9984 10140 10511 10816 10968 11040 11661 11776 11882 11960 12480 13520 13710 14352 14624 14720 15548 16224 16640 17664 17823 17940 18280 19136 19435 19968 20280 21022 21632 21936 22080 23322 23764 23920 24960 27040 27420 28704 29248 29440 29705 31096 31533 32448 33280 35328 35646 35880 36560 38272 38870 40560 42044 43264 43872 44160 46644 47528 47840 49920 52555 54080 54840 57408 58305 58496 58880 59410 62192 63066 64896 71292 71760 73120 76544 77233 77740 81120 84088 86528 87744 88320 89115 93288 95056 95680 99840 105110 108160 109680 114816 116610 116992 118820 124384 126132 129792 136643 142584 143520 146240 153088 154466 155480 157665 162240 168176 175488 176640 178230 186576 190112 191360 210220 216320 219360 229632 231699 233220 233984 237640 248768 252264 259584 273286 285168 287040 292480 308932 310960 315330 324480 336352 350976 356460 373152 380224 382720 386165 409929 420440 432640 438720 459264 463398 466440 475280 497536 504528 546572 570336 574080 584960 617864 621920 630660 648960 672704 683215 701952 712920 746304 760448 765440 772330 819858 840880 877440 926796 932880 950560 995072 1009056 1093144 1140672 1148160 1158495 1169920 1235728 1243840 1261320 1297920 1345408 1366430 1425840 1492608 1520896 1544660 1639716 1681760 1754880 1776359 1853592 1865760 1901120 1990144 2018112 2049645 2186288 2281344 2296320 2316990 2471456 2487680 2522640 2690816 2732860 2851680 2985216 3041792 3089320 3279432 3363520 3509760 3552718 3707184 3731520 3802240 4036224 4099290 4372576 4562688 4633980 4942912 4975360 5045280 5329077 5381632 5465720 5703360 5970432 6178640 6558864 6727040 7105436 7414368 7463040 7604480 8072448 8198580 8745152 8881795 9125376 9267960 9885824 9950720 10090560 10658154 10931440 11406720 12357280 13117728 13454080 14210872 14828736 14926080 15208960 16144896 16397160 17490304 17763590 18535920 19771648 20181120 21316308 21862880 22813440 24714560 26235456 26645385 26908160 28421744 29657472 29852160 32794320 34980608 35527180 37071840 39543296 40362240 42632616 43725760 45626880 49429120 52470912 53290770 56843488 59314944 65588640 69961216 71054360 74143680 80724480 85265232 87451520 98858240 104941824 106581540 113686976 118629888 131177280 142108720 148287360 170530464 174903040 197716480 209883648 213163080 227373952 262354560 284217440 296574720 341060928 349806080 426326160 454747904 524709120 568434880 593149440 682121856 852652320 909495808 1049418240 1136869760 1364243712 1705304640 2273739520 2728487424 3410609280 4547479040 6821218560 13642437120
- Sum of all divisors σ(n): 49387231872
- Sum of proper divisors (its aliquot sum) s(n): 35744794752
- 13642437120 is an abundant number, because the sum of its proper divisors (35744794752) is greater than itself. Its abundance is 22102357632
Bases of 13642437120
- Binary: 11001011010010011100010010000000002
- Hexadecimal: 0x32D271200
- Base-36: 69MCRUO
Squares and roots of 13642437120
- 13642437120 squared (136424371202) is 186116090573153894400
- 13642437120 cubed (136424371203) is 2539077062664476764435120128000
-
The
square root of 13642437120 is 116800.8438325683 -
The
cube root of 13642437120 is 2389.4465505361
Scales and comparisons
How big is 13642437120?- 13,642,437,120 seconds is equal to 433 years, 40 weeks, 6 days, 13 hours, 52 minutes.
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To count from 1 to 13,642,437,120 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 13642437120 cubic inches would be around 199.1 feet tall.
Recreational maths with 13642437120
- 13642437120 backwards is 02173424631
- The number of decimal digits it has is: 11
- The sum of 13642437120's digits is 33
- More coming soon!
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