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34231144144 = 248572496437
BaseRepresentation
bin11111111000010101…
…011100111011010000
310021100121221021222111
4133320111130323100
51030101133103034
623420420115104
72321164632031
oct377025347320
9107317837874
1034231144144
111357665227a
126773b35a94
1332c6b567a2
14192a36aa88
15d5530b364
hex7f855ced0

34231144144 has 20 divisors (see below), whose sum is σ = 66400257924. Its totient is φ = 17095593728.

The previous prime is 34231144111. The next prime is 34231144201. The reversal of 34231144144 is 44144113243.

It can be written as a sum of positive squares in 2 ways, for example, as 26205134400 + 8026009744 = 161880^2 + 89588^2 .

It is a super-3 number, since 3×342311441443 (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1234507 + ... + 1261930.

Almost surely, 234231144144 is an apocalyptic number.

It is an amenable number.

34231144144 is a deficient number, since it is larger than the sum of its proper divisors (32169113780).

34231144144 is a wasteful number, since it uses less digits than its factorization.

34231144144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2497302 (or 2497296 counting only the distinct ones).

The product of its digits is 18432, while the sum is 31.

Adding to 34231144144 its reverse (44144113243), we get a palindrome (78375257387).

The spelling of 34231144144 in words is "thirty-four billion, two hundred thirty-one million, one hundred forty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 857 1714 3428 6856 13712 2496437 4992874 9985748 19971496 39942992 2139446509 4278893018 8557786036 17115572072 34231144144