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44464200246444 = 22311336850001867
BaseRepresentation
bin10100001110000101000001…
…10111000110010010101100
312211102201212120021111220210
422013002200313012102230
521312000140230341234
6234322323244342420
712236301222044046
oct1207024067062254
9184381776244823
1044464200246444
1113193185950450
124ba1562844a10
131ba6c576c2624
14ada11622ca96
15521938950be9
hex2870a0dc64ac

44464200246444 has 24 divisors (see below), whose sum is σ = 113181600627648. Its totient is φ = 13474000074640.

The previous prime is 44464200246413. The next prime is 44464200246461.

It is a happy number.

44464200246444 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 44464200246393 and 44464200246402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 168425000802 + ... + 168425001065.

It is an arithmetic number, because the mean of its divisors is an integer number (4715900026152).

Almost surely, 244464200246444 is an apocalyptic number.

44464200246444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44464200246444 is an abundant number, since it is smaller than the sum of its proper divisors (68717400381204).

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

44464200246444 is a wasteful number, since it uses less digits than its factorization.

44464200246444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336850001885 (or 336850001883 counting only the distinct ones).

The product of its (nonzero) digits is 9437184, while the sum is 48.

The spelling of 44464200246444 in words is "forty-four trillion, four hundred sixty-four billion, two hundred million, two hundred forty-six thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 336850001867 673700003734 1010550005601 1347400007468 2021100011202 3705350020537 4042200022404 7410700041074 11116050061611 14821400082148 22232100123222 44464200246444