1313813001600
1,313,813,001,600 is an even composite number composed of five prime numbers multiplied together.
1313813001600 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 1313813001600:
27 × 34 × 52 × 11 × 460793
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 11 × 460793)See below for interesting mathematical facts about the number 1313813001600 from the Numbermatics database.
Names of 1313813001600
- Cardinal: 1313813001600 can be written as One trillion, three hundred thirteen billion, eight hundred thirteen million, one thousand, six hundred.
Scientific notation
- Scientific notation: 1.3138130016 × 1012
Factors of 1313813001600
Divisors of 1313813001600
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 27 30 32 33 36 40 44 45 48 50 54 55 60 64 66 72 75 80 81 88 90 96 99 100 108 110 120 128 132 135 144 150 160 162 165 176 180 192 198 200 216 220 225 240 264 270 275 288 297 300 320 324 330 352 360 384 396 400 405 432 440 450 480 495 528 540 550 576 594 600 640 648 660 675 704 720 792 800 810 825 864 880 891 900 960 990 1056 1080 1100 1152 1188 1200 1296 1320 1350 1408 1440 1485 1584 1600 1620 1650 1728 1760 1782 1800 1920 1980 2025 2112 2160 2200 2376 2400 2475 2592 2640 2700 2880 2970 3168 3200 3240 3300 3456 3520 3564 3600 3960 4050 4224 4320 4400 4455 4752 4800 4950 5184 5280 5400 5760 5940 6336 6480 6600 7040 7128 7200 7425 7920 8100 8640 8800 8910 9504 9600 9900 10368 10560 10800 11880 12672 12960 13200 14256 14400 14850 15840 16200 17280 17600 17820 19008 19800 21120 21600 22275 23760 25920 26400 28512 28800 29700 31680 32400 35200 35640 38016 39600 43200 44550 47520 51840 52800 57024 59400 63360 64800 71280 79200 86400 89100 95040 105600 114048 118800 129600 142560 158400 178200 190080 237600 259200 285120 316800 356400 460793 475200 570240 712800 921586 950400 1382379 1425600 1843172 2303965 2764758 2851200 3686344 4147137 4607930 5068723 5529516 6911895 7372688 8294274 9215860 10137446 11059032 11519825 12441411 13823790 14745376 15206169 16588548 18431720 20274892 20735685 22118064 23039650 24882822 25343615 27647580 29490752 30412338 33177096 34559475 36863440 37324233 40549784 41471370 44236128 45618507 46079300 49765644 50687230 55295160 58981504 60824676 62207055 66354192 69118950 73726880 74648466 76030845 81099568 82942740 88472256 91237014 92158600 99531288 101374460 103678425 110590320 121649352 124414110 126718075 132708384 136855521 138237900 147453760 149296932 152061690 162199136 165885480 176944512 182474028 184317200 186621165 199062576 202748920 207356850 221180640 228092535 243298704 248828220 253436150 265416768 273711042 276475800 294907520 298593864 304123380 311035275 324398272 331770960 364948056 368634400 373242330 380154225 398125152 405497840 410566563 414713700 442361280 456185070 486597408 497656440 506872300 530833536 547422084 552951600 597187728 608246760 622070550 648796544 663541920 684277605 729896112 737268800 746484660 760308450 796250304 810995680 821133126 829427400 884722560 912370140 933105825 973194816 995312880 1013744600 1094844168 1105903200 1140462675 1194375456 1216493520 1244141100 1327083840 1368555210 1459792224 1474537600 1492969320 1520616900 1592500608 1621991360 1642266252 1658854800 1824740280 1866211650 1946389632 1990625760 2027489200 2052832815 2189688336 2211806400 2280925350 2388750912 2432987040 2488282200 2654167680 2737110420 2919584448 2985938640 3041233800 3243982720 3284532504 3317709600 3421388025 3649480560 3732423300 3981251520 4054978400 4105665630 4379376672 4423612800 4561850700 4777501824 4865974080 4976564400 5474220840 5839168896 5971877280 6082467600 6569065008 6635419200 6842776050 7298961120 7464846600 7962503040 8109956800 8211331260 8758753344 9123701400 9731948160 9953128800 10264164075 10948441680 11943754560 12164935200 13138130016 13270838400 13685552100 14597922240 14929693200 16219913600 16422662520 17517506688 18247402800 19906257600 20528328150 21896883360 23887509120 24329870400 26276260032 27371104200 29195844480 29859386400 32845325040 36494805600 39812515200 41056656300 43793766720 48659740800 52552520064 54742208400 59718772800 65690650080 72989611200 82113312600 87587533440 109484416800 119437545600 131381300160 145979222400 164226625200 218968833600 262762600320 328453250400 437937667200 656906500800 1313813001600
- Sum of all divisors σ(n): 5289021179640
- Sum of proper divisors (its aliquot sum) s(n): 3975208178040
- 1313813001600 is an abundant number, because the sum of its proper divisors (3975208178040) is greater than itself. Its abundance is 2661395176440
Bases of 1313813001600
- Binary: 100110001111001010101101101110101100000002
- Hexadecimal: 0x131E55B7580
- Base-36: GRK2C800
Squares and roots of 1313813001600
- 1313813001600 squared (13138130016002) is 1726104603173201602560000
- 1313813001600 cubed (13138130016003) is 2267778669770560882141283844096000000
-
The
square root of 1313813001600 is 1146216.8213736875 -
The
cube root of 1313813001600 is 10952.4476269885
Scales and comparisons
How big is 1313813001600?- 1,313,813,001,600 seconds is equal to 41,775 years, 9 weeks, 6 days.
-
To count from 1 to 1,313,813,001,600 would take you about one hundred four thousand, four hundred thirty-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 1313813001600 cubic inches would be around 912.7 feet tall.
Recreational maths with 1313813001600
- 1313813001600 backwards is 0061003183131
- 1313813001600 is a
Harshad number . - The number of decimal digits it has is: 13
- The sum of 1313813001600's digits is 27
- More coming soon!
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