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31023306144 = 2532107719813
BaseRepresentation
bin11100111001001000…
…100001010110100000
32222002001211020111200
4130321020201112200
51002013431244034
622130225041200
72145533515455
oct347110412640
988061736450
1031023306144
111217a936096
126019786200
132c053a24ac
14170430182c
15c188b0a99
hex7392215a0

31023306144 has 36 divisors (see below), whose sum is σ = 88222527666. Its totient is φ = 10341101952.

The previous prime is 31023306143. The next prime is 31023306179. The reversal of 31023306144 is 44160332013.

31023306144 is a `hidden beast` number, since 3 + 10 + 2 + 3 + 30 + 614 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 17471552400 + 13551753744 = 132180^2 + 116412^2 .

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

It is not an unprimeable number, because it can be changed into a prime (31023306143) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 53859619 + ... + 53860194.

Almost surely, 231023306144 is an apocalyptic number.

It is an amenable number.

31023306144 is an abundant number, since it is smaller than the sum of its proper divisors (57199221522).

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

31023306144 is a wasteful number, since it uses less digits than its factorization.

31023306144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107719829 (or 107719818 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 31023306144 its reverse (44160332013), we get a palindrome (75183638157).

The spelling of 31023306144 in words is "thirty-one billion, twenty-three million, three hundred six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 107719813 215439626 323159439 430879252 646318878 861758504 969478317 1292637756 1723517008 1938956634 2585275512 3447034016 3877913268 5170551024 7755826536 10341102048 15511653072 31023306144