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31444742646 = 2333891496941
BaseRepresentation
bin11101010010010000…
…001011000111110110
310000011102211102201000
4131102100023013312
51003344323231041
622240121544130
72162141621352
oct352220130766
9100142742630
1031444742646
1112376812619
126116945046
132c717aacc5
141744286462
15c408aabb6
hex75240b1f6

31444742646 has 32 divisors (see below), whose sum is σ = 70056885600. Its totient is φ = 10454628960.

The previous prime is 31444742621. The next prime is 31444742657. The reversal of 31444742646 is 64624744413.

31444742646 is a `hidden beast` number, since 3 + 144 + 47 + 426 + 46 = 666.

It is a super-3 number, since 3×314447426463 (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 727465 + ... + 769476.

It is an arithmetic number, because the mean of its divisors is an integer number (2189277675).

Almost surely, 231444742646 is an apocalyptic number.

31444742646 is an abundant number, since it is smaller than the sum of its proper divisors (38612142954).

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

31444742646 is a wasteful number, since it uses less digits than its factorization.

31444742646 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1497341 (or 1497335 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 45.

The spelling of 31444742646 in words is "thirty-one billion, four hundred forty-four million, seven hundred forty-two thousand, six hundred forty-six".

Divisors: 1 2 3 6 9 18 27 54 389 778 1167 2334 3501 7002 10503 21006 1496941 2993882 4490823 8981646 13472469 26944938 40417407 80834814 582310049 1164620098 1746930147 3493860294 5240790441 10481580882 15722371323 31444742646