133078400
133,078,400 is an even composite number composed of five prime numbers multiplied together.
133078400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 133078400:
27 × 52 × 7 × 13 × 457
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 13 × 457)See below for interesting mathematical facts about the number 133078400 from the Numbermatics database.
Names of 133078400
- Cardinal: 133078400 can be written as One hundred thirty-three million, seventy-eight thousand, four hundred.
Scientific notation
- Scientific notation: 1.330784 × 108
Factors of 133078400
Divisors of 133078400
- Number of divisors d(n): 192
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 25 26 28 32 35 40 50 52 56 64 65 70 80 91 100 104 112 128 130 140 160 175 182 200 208 224 260 280 320 325 350 364 400 416 448 455 457 520 560 640 650 700 728 800 832 896 910 914 1040 1120 1300 1400 1456 1600 1664 1820 1828 2080 2240 2275 2285 2600 2800 2912 3199 3200 3640 3656 4160 4480 4550 4570 5200 5600 5824 5941 6398 7280 7312 8320 9100 9140 10400 11200 11425 11648 11882 12796 14560 14624 15995 18200 18280 20800 22400 22850 23764 25592 29120 29248 29705 31990 36400 36560 41587 41600 45700 47528 51184 58240 58496 59410 63980 72800 73120 79975 83174 91400 95056 102368 118820 127960 145600 146240 148525 159950 166348 182800 190112 204736 207935 237640 255920 291200 292480 297050 319900 332696 365600 380224 409472 415870 475280 511840 594100 639800 665392 731200 760448 831740 950560 1023680 1039675 1188200 1279600 1330784 1462400 1663480 1901120 2047360 2079350 2376400 2559200 2661568 3326960 3802240 4158700 4752800 5118400 5323136 6653920 8317400 9505600 10236800 13307840 16634800 19011200 26615680 33269600 66539200 133078400
- Sum of all divisors σ(n): 405494880
- Sum of proper divisors (its aliquot sum) s(n): 272416480
- 133078400 is an abundant number, because the sum of its proper divisors (272416480) is greater than itself. Its abundance is 139338080
Bases of 133078400
- Binary: 1111110111010011101100000002
- Hexadecimal: 0x7EE9D80
- Base-36: 278BY8
Squares and roots of 133078400
- 133078400 squared (1330784002) is 17709860546560000
- 133078400 cubed (1330784003) is 2356799905759330304000000
-
The
square root of 133078400 is 11535.9611649831 -
The
cube root of 133078400 is 510.5471508317
Scales and comparisons
How big is 133078400?- 133,078,400 seconds is equal to 4 years, 12 weeks, 6 hours, 13 minutes, 20 seconds.
-
To count from 1 to 133,078,400 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 133078400 cubic inches would be around 42.5 feet tall.
Recreational maths with 133078400
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