130978560
130,978,560 is an even composite number composed of five prime numbers multiplied together.
130978560 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 130978560:
28 × 3 × 5 × 23 × 1483
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 23 × 1483)See below for interesting mathematical facts about the number 130978560 from the Numbermatics database.
Names of 130978560
- Cardinal: 130978560 can be written as One hundred thirty million, nine hundred seventy-eight thousand, five hundred sixty.
Scientific notation
- Scientific notation: 1.3097856 × 108
Factors of 130978560
Divisors of 130978560
- Number of divisors d(n): 144
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 64 69 80 92 96 115 120 128 138 160 184 192 230 240 256 276 320 345 368 384 460 480 552 640 690 736 768 920 960 1104 1280 1380 1472 1483 1840 1920 2208 2760 2944 2966 3680 3840 4416 4449 5520 5888 5932 7360 7415 8832 8898 11040 11864 14720 14830 17664 17796 22080 22245 23728 29440 29660 34109 35592 44160 44490 47456 59320 68218 71184 88320 88980 94912 102327 118640 136436 142368 170545 177960 189824 204654 237280 272872 284736 341090 355920 379648 409308 474560 511635 545744 569472 682180 711840 818616 949120 1023270 1091488 1138944 1364360 1423680 1637232 1898240 2046540 2182976 2728720 2847360 3274464 4093080 4365952 5457440 5694720 6548928 8186160 8731904 10914880 13097856 16372320 21829760 26195712 32744640 43659520 65489280 130978560
- Sum of all divisors σ(n): 436794624
- Sum of proper divisors (its aliquot sum) s(n): 305816064
- 130978560 is an abundant number, because the sum of its proper divisors (305816064) is greater than itself. Its abundance is 174837504
Bases of 130978560
- Binary: 1111100111010010011000000002
- Hexadecimal: 0x7CE9300
- Base-36: 25ZBPC
Squares and roots of 130978560
- 130978560 squared (1309785602) is 17155383179673600
- 130978560 cubed (1309785603) is 2246987385121869398016000
-
The
square root of 130978560 is 11444.5864931853 -
The
cube root of 130978560 is 507.8475993125
Scales and comparisons
How big is 130978560?- 130,978,560 seconds is equal to 4 years, 8 weeks, 3 days, 22 hours, 56 minutes.
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To count from 1 to 130,978,560 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 130978560 cubic inches would be around 42.3 feet tall.
Recreational maths with 130978560
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