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3031144114248 = 233314033074603
BaseRepresentation
bin101100000110111110010…
…001001010100001001000
3101201202220122102012112000
4230012332101022201020
5344130240343123443
610240253253551000
7431664401601015
oct54067621124110
911652818365460
103031144114248
11a69556915778
1240b558045460
1318cab2c50083
14a69cb28470c
1553ca8a198d3
hex2c1be44a848

3031144114248 has 32 divisors (see below), whose sum is σ = 8419844762400. Its totient is φ = 1010381371344.

The previous prime is 3031144114247. The next prime is 3031144114253. The reversal of 3031144114248 is 8424114411303.

3031144114248 is a `hidden beast` number, since 3 + 0 + 31 + 1 + 441 + 142 + 48 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3031144114247) 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 7 ways as a sum of consecutive naturals, for example, 7016537086 + ... + 7016537517.

It is an arithmetic number, because the mean of its divisors is an integer number (263120148825).

Almost surely, 23031144114248 is an apocalyptic number.

It is an amenable number.

3031144114248 is an abundant number, since it is smaller than the sum of its proper divisors (5388700648152).

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

3031144114248 is a wasteful number, since it uses less digits than its factorization.

3031144114248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14033074618 (or 14033074608 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 3031144114248 in words is "three trillion, thirty-one billion, one hundred forty-four million, one hundred fourteen thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 14033074603 28066149206 42099223809 56132298412 84198447618 112264596824 126297671427 168396895236 252595342854 336793790472 378893014281 505190685708 757786028562 1010381371416 1515572057124 3031144114248