132038400
132,038,400 is an even composite number composed of five prime numbers multiplied together.
132038400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred twenty-four divisors.
Prime factorization of 132038400:
28 × 3 × 52 × 13 × 232
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 13 × 23 × 23)See below for interesting mathematical facts about the number 132038400 from the Numbermatics database.
Names of 132038400
- Cardinal: 132038400 can be written as One hundred thirty-two million, thirty-eight thousand, four hundred.
Scientific notation
- Scientific notation: 1.320384 × 108
Factors of 132038400
Divisors of 132038400
- Number of divisors d(n): 324
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 23 24 25 26 30 32 39 40 46 48 50 52 60 64 65 69 75 78 80 92 96 100 104 115 120 128 130 138 150 156 160 184 192 195 200 208 230 240 256 260 276 299 300 312 320 325 345 368 384 390 400 416 460 480 520 529 552 575 598 600 624 640 650 690 736 768 780 800 832 897 920 960 975 1040 1058 1104 1150 1196 1200 1248 1280 1300 1380 1472 1495 1560 1587 1600 1664 1725 1794 1840 1920 1950 2080 2116 2208 2300 2392 2400 2496 2600 2645 2760 2944 2990 3120 3174 3200 3328 3450 3588 3680 3840 3900 4160 4232 4416 4485 4600 4784 4800 4992 5200 5290 5520 5888 5980 6240 6348 6400 6877 6900 7176 7360 7475 7800 7935 8320 8464 8832 8970 9200 9568 9600 9984 10400 10580 11040 11960 12480 12696 13225 13754 13800 14352 14720 14950 15600 15870 16640 16928 17664 17940 18400 19136 19200 20631 20800 21160 22080 22425 23920 24960 25392 26450 27508 27600 28704 29440 29900 31200 31740 33856 34385 35880 36800 38272 39675 41262 41600 42320 44160 44850 47840 49920 50784 52900 55016 55200 57408 59800 62400 63480 67712 68770 71760 73600 76544 79350 82524 83200 84640 88320 89700 95680 101568 103155 105800 110032 110400 114816 119600 124800 126960 135424 137540 143520 147200 158700 165048 169280 171925 179400 191360 203136 206310 211600 220064 220800 229632 239200 249600 253920 275080 287040 317400 330096 338560 343850 358800 382720 406272 412620 423200 440128 441600 478400 507840 515775 550160 574080 634800 660192 677120 687700 717600 825240 846400 880256 956800 1015680 1031550 1100320 1148160 1269600 1320384 1375400 1435200 1650480 1692800 1760512 1913600 2031360 2063100 2200640 2539200 2640768 2750800 2870400 3300960 3385600 4126200 4401280 5078400 5281536 5501600 5740800 6601920 8252400 8802560 10156800 11003200 13203840 16504800 22006400 26407680 33009600 44012800 66019200 132038400
- Sum of all divisors σ(n): 490564088
- Sum of proper divisors (its aliquot sum) s(n): 358525688
- 132038400 is an abundant number, because the sum of its proper divisors (358525688) is greater than itself. Its abundance is 226487288
Bases of 132038400
- Binary: 1111101111010111111000000002
- Hexadecimal: 0x7DEBF00
- Base-36: 26M1HC
Squares and roots of 132038400
- 132038400 squared (1320384002) is 17434139074560000
- 132038400 cubed (1320384003) is 2301975828782383104000000
-
The
square root of 132038400 is 11490.7963170531 -
The
cube root of 132038400 is 509.2137056905
Scales and comparisons
How big is 132038400?- 132,038,400 seconds is equal to 4 years, 10 weeks, 2 days, 5 hours, 20 minutes.
-
To count from 1 to 132,038,400 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 132038400 cubic inches would be around 42.4 feet tall.
Recreational maths with 132038400
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