Search a number
-
+
3149679444723 = 3373137127233491
BaseRepresentation
bin101101110101010111100…
…001100100001011110011
3102011002212120112220011000
4231311113201210023303
5403101020414212343
610410535345253043
7443361664354620
oct55652741441363
912132776486130
103149679444723
111004853a30a09
1242a519334183
1319b023865486
14ac633c83347
1556de5103ed3
hex2dd578642f3

3149679444723 has 256 divisors, whose sum is σ = 5734221742080. Its totient is φ = 1670714035200.

The previous prime is 3149679444679. The next prime is 3149679444763. The reversal of 3149679444723 is 3274449769413.

It is a happy number.

3149679444723 is a `hidden beast` number, since 3 + 1 + 4 + 96 + 79 + 4 + 4 + 472 + 3 = 666.

It is not a de Polignac number, because 3149679444723 - 29 = 3149679444211 is a prime.

It is a super-2 number, since 2×31496794447232 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (3149679444763) 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 255 ways as a sum of consecutive naturals, for example, 6414825508 + ... + 6414825998.

It is an arithmetic number, because the mean of its divisors is an integer number (22399303680).

Almost surely, 23149679444723 is an apocalyptic number.

3149679444723 is a deficient number, since it is larger than the sum of its proper divisors (2584542297357).

3149679444723 is a wasteful number, since it uses less digits than its factorization.

3149679444723 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935 (or 929 counting only the distinct ones).

The product of its digits is 109734912, while the sum is 63.

The spelling of 3149679444723 in words is "three trillion, one hundred forty-nine billion, six hundred seventy-nine million, four hundred forty-four thousand, seven hundred twenty-three".