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315232251240 = 233524110900147
BaseRepresentation
bin1001001011001010100…
…11100110110101101000
31010010200002002120020110
410211211103212311220
520131043424014430
6400452105054320
731526514632154
oct4454523466550
91103602076213
10315232251240
1111176442a095
12511167873a0
132395981481a
1411386142064
1582eea9d7b0
hex49654e6d68

315232251240 has 64 divisors (see below), whose sum is σ = 949620893760. Its totient is φ = 83713121280.

The previous prime is 315232251239. The next prime is 315232251247. The reversal of 315232251240 is 42152232513.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 315232251198 and 315232251207.

It is not an unprimeable number, because it can be changed into a prime (315232251247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5421154 + ... + 5478993.

It is an arithmetic number, because the mean of its divisors is an integer number (14837826465).

Almost surely, 2315232251240 is an apocalyptic number.

315232251240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

315232251240 is an abundant number, since it is smaller than the sum of its proper divisors (634388642520).

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

315232251240 is a wasteful number, since it uses less digits than its factorization.

315232251240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10900402 (or 10900398 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 315232251240 its reverse (42152232513), we get a palindrome (357384483753).

The spelling of 315232251240 in words is "three hundred fifteen billion, two hundred thirty-two million, two hundred fifty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 241 482 723 964 1205 1446 1928 2410 2892 3615 4820 5784 7230 9640 14460 28920 10900147 21800294 32700441 43600588 54500735 65400882 87201176 109001470 130801764 163502205 218002940 261603528 327004410 436005880 654008820 1308017640 2626935427 5253870854 7880806281 10507741708 13134677135 15761612562 21015483416 26269354270 31523225124 39404031405 52538708540 63046450248 78808062810 105077417080 157616125620 315232251240