131300400
131,300,400 is an even composite number composed of six prime numbers multiplied together.
131300400 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 131300400:
24 × 3 × 52 × 73 × 11 × 29
(2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 7 × 7 × 11 × 29)See below for interesting mathematical facts about the number 131300400 from the Numbermatics database.
Names of 131300400
- Cardinal: 131300400 can be written as One hundred thirty-one million, three hundred thousand, four hundred.
Scientific notation
- Scientific notation: 1.313004 × 108
Factors of 131300400
Divisors of 131300400
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 11 12 14 15 16 20 21 22 24 25 28 29 30 33 35 40 42 44 48 49 50 55 56 58 60 66 70 75 77 80 84 87 88 98 100 105 110 112 116 120 132 140 145 147 150 154 165 168 174 175 176 196 200 203 210 220 231 232 240 245 264 275 280 290 294 300 308 319 330 336 343 348 350 385 392 400 406 420 435 440 462 464 490 525 528 539 550 560 580 588 600 609 616 638 660 686 696 700 725 735 770 784 812 825 840 870 880 924 957 980 1015 1029 1050 1078 1100 1155 1160 1176 1200 1218 1225 1232 1276 1320 1372 1392 1400 1421 1450 1470 1540 1595 1617 1624 1650 1680 1715 1740 1848 1914 1925 1960 2030 2058 2100 2156 2175 2200 2233 2310 2320 2352 2436 2450 2552 2640 2695 2744 2800 2842 2900 2940 3045 3080 3190 3234 3248 3300 3430 3480 3675 3696 3773 3828 3850 3920 4060 4116 4200 4263 4312 4350 4400 4466 4620 4785 4872 4900 5075 5104 5145 5390 5488 5684 5775 5800 5880 6090 6160 6380 6468 6600 6699 6860 6960 7105 7350 7546 7656 7700 7975 8085 8120 8232 8400 8526 8575 8624 8700 8932 9240 9570 9744 9800 9947 10150 10290 10780 11165 11319 11368 11550 11600 11760 12180 12760 12936 13200 13398 13475 13720 14210 14700 15092 15225 15312 15400 15631 15950 16170 16240 16464 17052 17150 17400 17864 18480 18865 19140 19600 19894 20300 20580 21315 21560 22330 22638 22736 23100 23925 24360 25520 25725 25872 26796 26950 27440 28420 29400 29841 30184 30450 30800 31262 31900 32340 33495 34104 34300 34800 35525 35728 37730 38280 39788 40425 40600 41160 42630 43120 44660 45276 46200 46893 47850 48720 49735 51450 53592 53900 55825 56595 56840 58800 59682 60368 60900 62524 63800 64680 66990 68208 68600 71050 75460 76560 78155 79576 80850 81200 82320 85260 89320 90552 92400 93786 94325 95700 99470 102900 106575 107184 107800 109417 111650 113190 113680 119364 121800 125048 127600 129360 133980 137200 142100 149205 150920 156310 159152 161700 167475 170520 178640 181104 187572 188650 191400 198940 205800 213150 215600 218834 223300 226380 234465 238728 243600 248675 250096 267960 282975 284200 298410 301840 312620 323400 328251 334950 341040 375144 377300 382800 390775 397880 411600 426300 437668 446600 452760 468930 477456 497350 535920 547085 565950 568400 596820 625240 646800 656502 669900 746025 750288 754600 781550 795760 852600 875336 893200 905520 937860 994700 1094170 1131900 1172325 1193640 1250480 1313004 1339800 1492050 1509200 1563100 1641255 1705200 1750672 1875720 1989400 2188340 2263800 2344650 2387280 2626008 2679600 2735425 2984100 3126200 3282510 3751440 3978800 4376680 4527600 4689300 5252016 5470850 5968200 6252400 6565020 8206275 8753360 9378600 10941700 11936400 13130040 16412550 18757200 21883400 26260080 32825100 43766800 65650200 131300400
- Sum of all divisors σ(n): 553536000
- Sum of proper divisors (its aliquot sum) s(n): 422235600
- 131300400 is an abundant number, because the sum of its proper divisors (422235600) is greater than itself. Its abundance is 290935200
Bases of 131300400
- Binary: 1111101001101111100001100002
- Hexadecimal: 0x7D37C30
- Base-36: 26681C
Squares and roots of 131300400
- 131300400 squared (1313004002) is 17239795040160000
- 131300400 cubed (1313004003) is 2263591984691024064000000
-
The
square root of 131300400 is 11458.6386625989 -
The
cube root of 131300400 is 508.2632194497
Scales and comparisons
How big is 131300400?- 131,300,400 seconds is equal to 4 years, 9 weeks, 16 hours, 20 minutes.
-
To count from 1 to 131,300,400 would take you about 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 131300400 cubic inches would be around 42.4 feet tall.
Recreational maths with 131300400
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