132478944
132,478,944 is an even composite number composed of six prime numbers multiplied together.
132478944 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 132478944:
25 × 3 × 13 × 19 × 37 × 151
(2 × 2 × 2 × 2 × 2 × 3 × 13 × 19 × 37 × 151)See below for interesting mathematical facts about the number 132478944 from the Numbermatics database.
Names of 132478944
- Cardinal: 132478944 can be written as One hundred thirty-two million, four hundred seventy-eight thousand, nine hundred forty-four.
Scientific notation
- Scientific notation: 1.32478944 × 108
Factors of 132478944
Divisors of 132478944
- Number of divisors d(n): 192
-
Complete list of divisors:
1 2 3 4 6 8 12 13 16 19 24 26 32 37 38 39 48 52 57 74 76 78 96 104 111 114 148 151 152 156 208 222 228 247 296 302 304 312 416 444 453 456 481 494 592 604 608 624 703 741 888 906 912 962 988 1184 1208 1248 1406 1443 1482 1776 1812 1824 1924 1963 1976 2109 2416 2812 2869 2886 2964 3552 3624 3848 3926 3952 4218 4832 5587 5624 5738 5772 5889 5928 7248 7696 7852 7904 8436 8607 9139 11174 11248 11476 11544 11778 11856 14496 15392 15704 16761 16872 17214 18278 22348 22496 22952 23088 23556 23712 27417 31408 33522 33744 34428 36556 37297 44696 45904 46176 47112 54834 62816 67044 67488 68856 72631 73112 74594 89392 91808 94224 106153 109668 111891 134088 137712 145262 146224 149188 178784 188448 212306 217893 219336 223782 268176 275424 290524 292448 298376 318459 424612 435786 438672 447564 536352 581048 596752 636918 849224 871572 877344 895128 1162096 1193504 1273836 1379989 1698448 1743144 1790256 2324192 2547672 2759978 3396896 3486288 3580512 4139967 5095344 5519956 6972576 8279934 10190688 11039912 16559868 22079824 33119736 44159648 66239472 132478944
- Sum of all divisors σ(n): 407554560
- Sum of proper divisors (its aliquot sum) s(n): 275075616
- 132478944 is an abundant number, because the sum of its proper divisors (275075616) is greater than itself. Its abundance is 142596672
Bases of 132478944
- Binary: 1111110010101110111111000002
- Hexadecimal: 0x7E577E0
- Base-36: 26VHEO
Squares and roots of 132478944
- 132478944 squared (1324789442) is 17550670603355136
- 132478944 cubed (1324789443) is 2325094308024331274256384
-
The
square root of 132478944 is 11509.9497826879 -
The
cube root of 132478944 is 509.7794047899
Scales and comparisons
How big is 132478944?- 132,478,944 seconds is equal to 4 years, 11 weeks, 7 hours, 42 minutes, 24 seconds.
-
To count from 1 to 132,478,944 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 132478944 cubic inches would be around 42.5 feet tall.
Recreational maths with 132478944
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