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5142410325 = 32521317195443
BaseRepresentation
bin1001100101000001…
…01111010001010101
3111021101100111210200
410302200233101111
541012424112300
62210135411113
7241301523633
oct46240572125
914241314720
105142410325
1121a9835a98
12bb6223a99
1363c501060
1436ad72353
152016d7200
hex13282f455

5142410325 has 144 divisors (see below), whose sum is σ = 11057417280. Its totient is φ = 2256906240.

The previous prime is 5142410261. The next prime is 5142410327. The reversal of 5142410325 is 5230142415.

5142410325 is a `hidden beast` number, since 514 + 24 + 103 + 25 = 666.

It is not a de Polignac number, because 5142410325 - 26 = 5142410261 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5142410327) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 942054 + ... + 947496.

It is an arithmetic number, because the mean of its divisors is an integer number (76787620).

Almost surely, 25142410325 is an apocalyptic number.

It is an amenable number.

5142410325 is an abundant number, since it is smaller than the sum of its proper divisors (5915006955).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5142410325 is a wasteful number, since it uses less digits than its factorization.

5142410325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5508 (or 5500 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 5142410325 is about 71710.6012037272. The cubic root of 5142410325 is about 1726.0587577180.

The spelling of 5142410325 in words is "five billion, one hundred forty-two million, four hundred ten thousand, three hundred twenty-five".

Divisors: 1 3 5 9 13 15 17 19 25 39 45 51 57 65 75 85 95 117 153 171 195 221 225 247 255 285 323 325 425 475 585 663 741 765 855 969 975 1105 1235 1275 1425 1615 1989 2223 2907 2925 3315 3705 3825 4199 4275 4845 5443 5525 6175 8075 9945 11115 12597 14535 16329 16575 18525 20995 24225 27215 37791 48987 49725 55575 62985 70759 72675 81645 92531 103417 104975 136075 188955 212277 244935 277593 310251 314925 353795 408225 462655 517085 636831 832779 930753 944775 1061385 1202903 1224675 1344421 1387965 1551255 1758089 1768975 2313275 2585425 3184155 3608709 4033263 4163895 4653765 5274267 5306925 6014515 6722105 6939825 7756275 8790445 10826127 12099789 15822801 15920775 18043545 20166315 20819475 22855157 23268825 26371335 30072575 33610525 43952225 54130635 60498945 68565471 79114005 90217725 100831575 114275785 131856675 205696413 270653175 302494725 342827355 395570025 571378925 1028482065 1714136775 5142410325