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314993357127 = 32112337698269
BaseRepresentation
bin1001001010101110001…
…00010011000101000111
31010010001102120111010100
410211113010103011013
520130101244412002
6400412252455143
731520554233651
oct4452704230507
91103042514110
10314993357127
111116515a1439
125106a77a4b3
132391c190167
14113625176d1
1582d8b1011c
hex4957113147

314993357127 has 24 divisors (see below), whose sum is σ = 455571474800. Its totient is φ = 209727543168.

The previous prime is 314993357083. The next prime is 314993357131. The reversal of 314993357127 is 721753399413.

314993357127 is a `hidden beast` number, since 3 + 1 + 49 + 9 + 3 + 3 + 571 + 27 = 666.

It is not a de Polignac number, because 314993357127 - 27 = 314993356999 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314993357137) 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 23 ways as a sum of consecutive naturals, for example, 38089149 + ... + 38097417.

Almost surely, 2314993357127 is an apocalyptic number.

314993357127 is a deficient number, since it is larger than the sum of its proper divisors (140578117673).

314993357127 is a wasteful number, since it uses less digits than its factorization.

314993357127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13167 (or 13164 counting only the distinct ones).

The product of its digits is 4286520, while the sum is 54.

The spelling of 314993357127 in words is "three hundred fourteen billion, nine hundred ninety-three million, three hundred fifty-seven thousand, one hundred twenty-seven".

Divisors: 1 3 9 1123 3369 3769 8269 10107 11307 24807 33921 74421 4232587 9286087 12697761 27858261 31165861 38093283 83574783 93497583 280492749 34999261903 104997785709 314993357127