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31514400193 = 1117177715877
BaseRepresentation
bin11101010110011001…
…111001010111000001
310000100021220101220011
4131112121321113001
51004020141301233
622251050544521
72163645660523
oct352631712701
9100307811804
1031514400193
111240206a341
126136138141
132c830599a3
14174d619a13
15c46a6a0cd
hex7566795c1

31514400193 has 8 divisors (see below), whose sum is σ = 31562351912. Its totient is φ = 31466486016.

The previous prime is 31514400173. The next prime is 31514400221. The reversal of 31514400193 is 39100441513.

It can be written as a sum of positive squares in 4 ways, for example, as 7088461249 + 24425938944 = 84193^2 + 156288^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 31514400193 - 29 = 31514399681 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31514400173) 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 7 ways as a sum of consecutive naturals, for example, 1976971 + ... + 1992847.

It is an arithmetic number, because the mean of its divisors is an integer number (3945293989).

Almost surely, 231514400193 is an apocalyptic number.

It is an amenable number.

31514400193 is a deficient number, since it is larger than the sum of its proper divisors (47951719).

31514400193 is a wasteful number, since it uses less digits than its factorization.

31514400193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18771.

The product of its (nonzero) digits is 6480, while the sum is 31.

The spelling of 31514400193 in words is "thirty-one billion, five hundred fourteen million, four hundred thousand, one hundred ninety-three".

Divisors: 1 1117 1777 15877 1984909 17734609 28213429 31514400193