13157971200
13,157,971,200 is an even composite number composed of six prime numbers multiplied together.
13157971200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of six hundred forty-eight divisors.
Prime factorization of 13157971200:
28 × 32 × 52 × 11 × 19 × 1093
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 11 × 19 × 1093)See below for interesting mathematical facts about the number 13157971200 from the Numbermatics database.
Names of 13157971200
- Cardinal: 13157971200 can be written as Thirteen billion, one hundred fifty-seven million, nine hundred seventy-one thousand, two hundred.
Scientific notation
- Scientific notation: 1.31579712 × 1010
Factors of 13157971200
Divisors of 13157971200
- Number of divisors d(n): 648
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 19 20 22 24 25 30 32 33 36 38 40 44 45 48 50 55 57 60 64 66 72 75 76 80 88 90 95 96 99 100 110 114 120 128 132 144 150 152 160 165 171 176 180 190 192 198 200 209 220 225 228 240 256 264 275 285 288 300 304 320 330 342 352 360 380 384 396 400 418 440 450 456 475 480 495 528 550 570 576 600 608 627 640 660 684 704 720 760 768 792 800 825 836 855 880 900 912 950 960 990 1045 1056 1093 1100 1140 1152 1200 1216 1254 1280 1320 1368 1408 1425 1440 1520 1584 1600 1650 1672 1710 1760 1800 1824 1881 1900 1920 1980 2090 2112 2186 2200 2280 2304 2400 2432 2475 2508 2640 2736 2816 2850 2880 3040 3135 3168 3200 3279 3300 3344 3420 3520 3600 3648 3762 3800 3840 3960 4180 4224 4275 4372 4400 4560 4800 4864 4950 5016 5225 5280 5465 5472 5700 5760 6080 6270 6336 6400 6558 6600 6688 6840 7040 7200 7296 7524 7600 7920 8360 8448 8550 8744 8800 9120 9405 9600 9837 9900 10032 10450 10560 10930 10944 11400 11520 12023 12160 12540 12672 13116 13200 13376 13680 14080 14400 14592 15048 15200 15675 15840 16395 16720 17100 17488 17600 18240 18810 19200 19674 19800 20064 20767 20900 21120 21860 21888 22800 24046 24320 25080 25344 26232 26400 26752 27325 27360 28800 30096 30400 31350 31680 32790 33440 34200 34976 35200 36069 36480 37620 39348 39600 40128 41534 41800 42240 43720 43776 45600 47025 48092 49185 50160 52464 52800 53504 54650 54720 57600 60115 60192 60800 62301 62700 63360 65580 66880 68400 69952 70400 72138 72960 75240 78696 79200 80256 81975 83068 83600 87440 91200 94050 96184 98370 100320 103835 104928 105600 108207 109300 109440 120230 120384 121600 124602 125400 126720 131160 133760 136800 139904 144276 150480 157392 158400 160512 163950 166136 167200 174880 180345 182400 186903 188100 192368 196740 200640 207670 209856 211200 216414 218600 218880 228437 240460 240768 245925 249204 250800 262320 267520 273600 279808 288552 300575 300960 311505 314784 316800 327900 332272 334400 349760 360690 364800 373806 376200 384736 393480 401280 415340 419712 432828 437200 456874 480920 481536 491850 498408 501600 519175 524640 541035 547200 577104 601150 601920 623010 629568 633600 655800 664544 668800 685311 699520 721380 747612 752400 769472 786960 802560 830680 839424 865656 874400 901725 913748 934515 961840 983700 996816 1003200 1038350 1049280 1082070 1094400 1142185 1154208 1202300 1203840 1246020 1259136 1311600 1329088 1337600 1370622 1399040 1442760 1495224 1504800 1538944 1557525 1573920 1661360 1731312 1748800 1803450 1827496 1869030 1923680 1967400 1993632 2006400 2055933 2076700 2098560 2164140 2284370 2308416 2404600 2407680 2492040 2518272 2623200 2658176 2705175 2741244 2885520 2990448 3009600 3077888 3115050 3147840 3322720 3426555 3462624 3497600 3606900 3654992 3738060 3847360 3934800 3987264 4012800 4111866 4153400 4197120 4328280 4568740 4616832 4672575 4809200 4984080 5246400 5316352 5410350 5482488 5710925 5771040 5980896 6019200 6230100 6295680 6645440 6853110 6925248 6995200 7213800 7309984 7476120 7694720 7869600 7974528 8223732 8306800 8656560 9137480 9233664 9345150 9618400 9968160 10279665 10492800 10820700 10964976 11421850 11542080 11961792 12038400 12460200 12591360 13290880 13706220 13850496 14427600 14619968 14952240 15389440 15739200 15949056 16447464 16613600 17132775 17313120 18274960 18690300 19236800 19936320 20559330 20985600 21641400 21929952 22843700 23084160 23923584 24920400 26581760 27412440 27700992 28855200 29239936 29904480 31478400 32894928 33227200 34265550 34626240 36549920 37380600 38473600 39872640 41118660 43282800 43859904 45687400 46168320 47847168 49840800 51398325 54824880 57710400 58479872 59808960 62956800 65789856 66454400 68531100 69252480 73099840 74761200 76947200 79745280 82237320 86565600 87719808 91374800 99681600 102796650 109649760 115420800 119617920 131579712 132908800 137062200 138504960 146199680 149522400 164474640 173131200 175439616 182749600 199363200 205593300 219299520 230841600 239235840 263159424 274124400 292399360 299044800 328949280 346262400 365499200 398726400 411186600 438599040 526318848 548248800 598089600 657898560 692524800 730998400 822373200 877198080 1096497600 1196179200 1315797120 1461996800 1644746400 2192995200 2631594240 3289492800 4385990400 6578985600 13157971200
- Sum of all divisors σ(n): 54069768480
- Sum of proper divisors (its aliquot sum) s(n): 40911797280
- 13157971200 is an abundant number, because the sum of its proper divisors (40911797280) is greater than itself. Its abundance is 27753826080
Bases of 13157971200
- Binary: 11000100000100011010110101000000002
- Hexadecimal: 0x31046B500
- Base-36: 61LWZK0
Squares and roots of 13157971200
- 13157971200 squared (131579712002) is 173132206100029440000
- 13157971200 cubed (131579712003) is 2278068581656651690672128000000
-
The
square root of 13157971200 is 114708.2002299747 -
The
cube root of 13157971200 is 2360.8205515923
Scales and comparisons
How big is 13157971200?- 13,157,971,200 seconds is equal to 418 years, 19 weeks, 6 days, 8 hours.
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To count from 1 to 13,157,971,200 would take you about eight hundred thirty-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 13157971200 cubic inches would be around 196.7 feet tall.
Recreational maths with 13157971200
- 13157971200 backwards is 00217975131
- 13157971200 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 13157971200's digits is 36
- More coming soon!
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