513414144
513,414,144 is an even composite number composed of five prime numbers multiplied together.
513414144 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred sixty-four divisors.
Prime factorization of 513414144:
210 × 32 × 17 × 29 × 113
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 17 × 29 × 113)See below for interesting mathematical facts about the number 513414144 from the Numbermatics database.
Names of 513414144
- Cardinal: 513414144 can be written as Five hundred thirteen million, four hundred fourteen thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 5.13414144 × 108
Factors of 513414144
Divisors of 513414144
- Number of divisors d(n): 264
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Complete list of divisors:
1 2 3 4 6 8 9 12 16 17 18 24 29 32 34 36 48 51 58 64 68 72 87 96 102 113 116 128 136 144 153 174 192 204 226 232 256 261 272 288 306 339 348 384 408 452 464 493 512 522 544 576 612 678 696 768 816 904 928 986 1017 1024 1044 1088 1152 1224 1356 1392 1479 1536 1632 1808 1856 1921 1972 2034 2088 2176 2304 2448 2712 2784 2958 3072 3264 3277 3616 3712 3842 3944 4068 4176 4352 4437 4608 4896 5424 5568 5763 5916 6528 6554 7232 7424 7684 7888 8136 8352 8704 8874 9216 9792 9831 10848 11136 11526 11832 13056 13108 14464 14848 15368 15776 16272 16704 17289 17408 17748 19584 19662 21696 22272 23052 23664 26112 26216 28928 29493 29696 30736 31552 32544 33408 34578 35496 39168 39324 43392 44544 46104 47328 52224 52432 55709 57856 58986 61472 63104 65088 66816 69156 70992 78336 78648 86784 89088 92208 94656 104864 111418 115712 117972 122944 126208 130176 133632 138312 141984 156672 157296 167127 173568 184416 189312 209728 222836 235944 245888 252416 260352 267264 276624 283968 314592 334254 347136 368832 378624 419456 445672 471888 491776 501381 504832 520704 553248 567936 629184 668508 737664 757248 838912 891344 943776 983552 1002762 1041408 1106496 1135872 1258368 1337016 1475328 1514496 1677824 1782688 1887552 1967104 2005524 2212992 2271744 2516736 2674032 2950656 3355648 3565376 3775104 4011048 4425984 4543488 5033472 5348064 5901312 7130752 7550208 8022096 8851968 10066944 10696128 14261504 15100416 16044192 17703936 21392256 28523008 30200832 32088384 42784512 57046016 64176768 85569024 128353536 171138048 256707072 513414144
- Sum of all divisors σ(n): 1638173160
- Sum of proper divisors (its aliquot sum) s(n): 1124759016
- 513414144 is an abundant number, because the sum of its proper divisors (1124759016) is greater than itself. Its abundance is 611344872
Bases of 513414144
- Binary: 111101001101000010100000000002
- Hexadecimal: 0x1E9A1400
- Base-36: 8HO8W0
Squares and roots of 513414144
- 513414144 squared (5134141442) is 263594083259252736
- 513414144 cubed (5134141443) is 135332930620013973533097984
-
The
square root of 513414144 is 22658.6439135267 -
The
cube root of 513414144 is 800.7358562703
Scales and comparisons
How big is 513414144?- 513,414,144 seconds is equal to 16 years, 16 weeks, 6 days, 7 hours, 2 minutes, 24 seconds.
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To count from 1 to 513,414,144 would take you about twenty-four 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 513414144 cubic inches would be around 66.7 feet tall.
Recreational maths with 513414144
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