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314640432252 = 223211377345239
BaseRepresentation
bin1001001010000100000…
…01111111110001111100
31010002010211111001012200
410211002001333301330
520123340422313002
6400313244231500
731506040355316
oct4450201776174
91102124431180
10314640432252
11111490359793
1250b9053b590
1323894021883
141132b6c87b6
1582b7b49b1c
hex494207fc7c

314640432252 has 36 divisors (see below), whose sum is σ = 802379519760. Its totient is φ = 103951999872.

The previous prime is 314640432241. The next prime is 314640432259. The reversal of 314640432252 is 252234046413.

314640432252 is a `hidden beast` number, since 3 + 1 + 4 + 640 + 4 + 3 + 2 + 2 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314640432259) 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 11 ways as a sum of consecutive naturals, for example, 38668552 + ... + 38676687.

Almost surely, 2314640432252 is an apocalyptic number.

It is an amenable number.

314640432252 is an abundant number, since it is smaller than the sum of its proper divisors (487739087508).

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

314640432252 is a wasteful number, since it uses less digits than its factorization.

314640432252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77345362 (or 77345357 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 314640432252 its reverse (252234046413), we get a palindrome (566874478665).

The spelling of 314640432252 in words is "three hundred fourteen billion, six hundred forty million, four hundred thirty-two thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 113 226 339 452 678 1017 1356 2034 4068 77345239 154690478 232035717 309380956 464071434 696107151 928142868 1392214302 2784428604 8740012007 17480024014 26220036021 34960048028 52440072042 78660108063 104880144084 157320216126 314640432252