11381342400
11,381,342,400 is an even composite number composed of five prime numbers multiplied together.
11381342400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of five hundred four divisors.
Prime factorization of 11381342400:
26 × 35 × 52 × 73 × 401
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 73 × 401)See below for interesting mathematical facts about the number 11381342400 from the Numbermatics database.
Names of 11381342400
- Cardinal: 11381342400 can be written as Eleven billion, three hundred eighty-one million, three hundred forty-two thousand, four hundred.
Scientific notation
- Scientific notation: 1.13813424 × 1010
Factors of 11381342400
Divisors of 11381342400
- Number of divisors d(n): 504
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 64 72 73 75 80 81 90 96 100 108 120 135 144 146 150 160 162 180 192 200 216 219 225 240 243 270 288 292 300 320 324 360 365 400 401 405 432 438 450 480 486 540 576 584 600 648 657 675 720 730 800 802 810 864 876 900 960 972 1080 1095 1168 1200 1203 1215 1296 1314 1350 1440 1460 1600 1604 1620 1728 1752 1800 1825 1944 1971 2005 2025 2160 2190 2336 2400 2406 2430 2592 2628 2700 2880 2920 3208 3240 3285 3504 3600 3609 3650 3888 3942 4010 4050 4320 4380 4672 4800 4812 4860 5184 5256 5400 5475 5840 5913 6015 6075 6416 6480 6570 7008 7200 7218 7300 7776 7884 8020 8100 8640 8760 9624 9720 9855 10025 10512 10800 10827 10950 11680 11826 12030 12150 12832 12960 13140 14016 14400 14436 14600 15552 15768 16040 16200 16425 17520 17739 18045 19248 19440 19710 20050 21024 21600 21654 21900 23360 23652 24060 24300 25664 25920 26280 28872 29200 29273 29565 30075 31536 32080 32400 32481 32850 35040 35478 36090 38496 38880 39420 40100 42048 43200 43308 43800 47304 48120 48600 49275 52560 54135 57744 58400 58546 59130 60150 63072 64160 64800 64962 65700 70080 70956 72180 76992 77760 78840 80200 86616 87600 87819 88695 90225 94608 96240 97200 97443 98550 105120 108270 115488 116800 117092 118260 120300 126144 128320 129600 129924 131400 141912 144360 146365 147825 157680 160400 162405 173232 175200 175638 177390 180450 189216 192480 194400 194886 197100 210240 216540 230976 234184 236520 240600 259848 262800 263457 270675 283824 288720 292730 295650 315360 320800 324810 346464 350400 351276 354780 360900 378432 384960 388800 389772 394200 433080 439095 443475 468368 473040 481200 487215 519696 525600 526914 541350 567648 577440 585460 591300 630720 641600 649620 692928 702552 709560 721800 731825 779544 788400 790371 812025 866160 878190 886950 936736 946080 962400 974430 1039392 1051200 1053828 1082700 1135296 1154880 1170920 1182600 1299240 1317285 1405104 1419120 1443600 1463650 1559088 1576800 1580742 1624050 1732320 1756380 1773900 1873472 1892160 1924800 1948860 2078784 2107656 2165400 2195475 2341840 2365200 2371113 2436075 2598480 2634570 2810208 2838240 2887200 2927300 3118176 3153600 3161484 3248100 3464640 3512760 3547800 3897720 3951855 4215312 4330800 4390950 4683680 4730400 4742226 4872150 5196960 5269140 5620416 5676480 5774400 5854600 6236352 6322968 6496200 6586425 7025520 7095600 7113339 7795440 7903710 8430624 8661600 8781900 9367360 9460800 9484452 9744300 10393920 10538280 11709200 11855565 12645936 12992400 13172850 14051040 14191200 14226678 15590880 15807420 16861248 17323200 17563800 18968904 19488600 19759275 21076560 23418400 23711130 25291872 25984800 26345700 28102080 28382400 28453356 31181760 31614840 35127600 35566695 37937808 38977200 39518550 42153120 46836800 47422260 50583744 51969600 52691400 56906712 59277825 63229680 70255200 71133390 75875616 77954400 79037100 84306240 94844520 105382800 113813424 118555650 126459360 140510400 142266780 151751232 155908800 158074200 177833475 189689040 210765600 227626848 237111300 252918720 284533560 316148400 355666950 379378080 421531200 455253696 474222600 569067120 632296800 711333900 758756160 948445200 1138134240 1264593600 1422667800 1896890400 2276268480 2845335600 3793780800 5690671200 11381342400
- Sum of all divisors σ(n): 42630906864
- Sum of proper divisors (its aliquot sum) s(n): 31249564464
- 11381342400 is an abundant number, because the sum of its proper divisors (31249564464) is greater than itself. Its abundance is 19868222064
Bases of 11381342400
- Binary: 10101001100110000110000000110000002
- Hexadecimal: 0x2A66180C0
- Base-36: 5885O00
Squares and roots of 11381342400
- 11381342400 squared (113813424002) is 129534954826037760000
- 11381342400 cubed (113813424003) is 1474281673643668181889024000000
-
The
square root of 11381342400 is 106683.3745248057 -
The
cube root of 11381342400 is 2249.3886338957
Scales and comparisons
How big is 11381342400?- 11,381,342,400 seconds is equal to 361 years, 46 weeks, 2 days, 12 hours.
-
To count from 1 to 11,381,342,400 would take you about seven hundred twenty-three 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 11381342400 cubic inches would be around 187.4 feet tall.
Recreational maths with 11381342400
- 11381342400 backwards is 00424318311
- 11381342400 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 11381342400's digits is 27
- More coming soon!
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