Search a number
-
+
253114804107 = 32118928727137
BaseRepresentation
bin1110101110111011010…
…0010110011110001011
3220012100000011022002100
43223232310112132023
513121334342212412
6312140200404443
724200264223204
oct3535664263613
9805300138070
10253114804107
1198388787720
124107b776723
131ab3a49b349
14c3723805ab
1568b64d8edc
hex3aeed1678b

253114804107 has 24 divisors (see below), whose sum is σ = 403329017520. Its totient is φ = 151679278080.

The previous prime is 253114804079. The next prime is 253114804121. The reversal of 253114804107 is 701408411352.

253114804107 is a `hidden beast` number, since 2 + 53 + 114 + 80 + 410 + 7 = 666.

It is not a de Polignac number, because 253114804107 - 215 = 253114771339 is a prime.

It is not an unprimeable number, because it can be changed into a prime (253114804807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14354758 + ... + 14372379.

It is an arithmetic number, because the mean of its divisors is an integer number (16805375730).

Almost surely, 2253114804107 is an apocalyptic number.

253114804107 is a deficient number, since it is larger than the sum of its proper divisors (150214213413).

253114804107 is a wasteful number, since it uses less digits than its factorization.

253114804107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28727243 (or 28727240 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 253114804107 in words is "two hundred fifty-three billion, one hundred fourteen million, eight hundred four thousand, one hundred seven".

Divisors: 1 3 9 11 33 89 99 267 801 979 2937 8811 28727137 86181411 258544233 315998507 947995521 2556715193 2843986563 7670145579 23010436737 28123867123 84371601369 253114804107