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315030331152 = 24323294166413
BaseRepresentation
bin1001001010110010100…
…01010101111100010000
31010010011000010221221200
410211121101111330100
520130140231044102
6400420053151200
731521513426645
oct4453121257420
91103130127850
10315030331152
11111670455589
125107b02b500
1323926a37594
14113673bddcc
1582dbeb551c
hex4959455f10

315030331152 has 60 divisors (see below), whose sum is σ = 881687425164. Its totient is φ = 105005341440.

The previous prime is 315030331151. The next prime is 315030331163. The reversal of 315030331152 is 251133030513.

315030331152 is a `hidden beast` number, since 3 + 1 + 503 + 0 + 3 + 3 + 1 + 152 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 196848392976 + 118181938176 = 443676^2 + 343776^2 .

It is not an unprimeable number, because it can be changed into a prime (315030331151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4710298 + ... + 4776710.

Almost surely, 2315030331152 is an apocalyptic number.

It is an amenable number.

315030331152 is an abundant number, since it is smaller than the sum of its proper divisors (566657094012).

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

315030331152 is a wasteful number, since it uses less digits than its factorization.

315030331152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99368 (or 99359 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 27.

Adding to 315030331152 its reverse (251133030513), we get a palindrome (566163361665).

The spelling of 315030331152 in words is "three hundred fifteen billion, thirty million, three hundred thirty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 32941 65882 66413 98823 131764 132826 197646 199239 263528 265652 296469 395292 398478 527056 531304 592938 597717 790584 796956 1062608 1185876 1195434 1581168 1593912 2371752 2390868 3187824 4743504 4781736 9563472 2187710633 4375421266 6563131899 8750842532 13126263798 17501685064 19689395697 26252527596 35003370128 39378791394 52505055192 78757582788 105010110384 157515165576 315030331152