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444468244068 = 223215778639109
BaseRepresentation
bin1100111011111000101…
…11110010111001100100
31120111020202102020001100
412131330113302321210
524240232332302233
6540104053000100
744053223511312
oct6357427627144
91514222366040
10444468244068
11161552811332
1272183623030
1332bb43290b4
1417725d710b2
15b8657e9813
hex677c5f2e64

444468244068 has 36 divisors (see below), whose sum is σ = 1130673123580. Its totient is φ = 147212410176.

The previous prime is 444468244037. The next prime is 444468244081. The reversal of 444468244068 is 860442864444.

444468244068 is a `hidden beast` number, since 44 + 44 + 68 + 2 + 440 + 68 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 230008486464 + 214459757604 = 479592^2 + 463098^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 39313903 + ... + 39325206.

Almost surely, 2444468244068 is an apocalyptic number.

It is an amenable number.

444468244068 is an abundant number, since it is smaller than the sum of its proper divisors (686204879512).

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

444468244068 is a wasteful number, since it uses less digits than its factorization.

444468244068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78639276 (or 78639271 counting only the distinct ones).

The product of its (nonzero) digits is 18874368, while the sum is 54.

The spelling of 444468244068 in words is "four hundred forty-four billion, four hundred sixty-eight million, two hundred forty-four thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 157 314 471 628 942 1413 1884 2826 5652 78639109 157278218 235917327 314556436 471834654 707751981 943669308 1415503962 2831007924 12346340113 24692680226 37039020339 49385360452 74078040678 111117061017 148156081356 222234122034 444468244068