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44242808652 = 223271710327453
BaseRepresentation
bin101001001101000100…
…111010111101001100
311020012100122112210200
4221031010322331030
51211102124334102
632154100533500
73124243445220
oct511504727514
9136170575720
1044242808652
1117843a03a79
1286a89b1290
134231099323
1421d9c88780
15123e22051c
hexa4d13af4c

44242808652 has 72 divisors (see below), whose sum is σ = 135330957216. Its totient is φ = 11897224704.

The previous prime is 44242808627. The next prime is 44242808657. The reversal of 44242808652 is 25680824244.

44242808652 is a `hidden beast` number, since 442 + 4 + 2 + 80 + 86 + 52 = 666.

44242808652 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×442428086522 (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 44242808598 and 44242808607.

It is not an unprimeable number, because it can be changed into a prime (44242808657) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5159443 + ... + 5168010.

It is an arithmetic number, because the mean of its divisors is an integer number (1879596628).

Almost surely, 244242808652 is an apocalyptic number.

44242808652 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

44242808652 is an abundant number, since it is smaller than the sum of its proper divisors (91088148564).

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

44242808652 is a wasteful number, since it uses less digits than its factorization.

44242808652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10327487 (or 10327482 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 45.

The spelling of 44242808652 in words is "forty-four billion, two hundred forty-two million, eight hundred eight thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 102 119 126 153 204 238 252 306 357 476 612 714 1071 1428 2142 4284 10327453 20654906 30982359 41309812 61964718 72292171 92947077 123929436 144584342 175566701 185894154 216876513 289168684 351133402 371788308 433753026 526700103 650629539 702266804 867506052 1053400206 1228966907 1301259078 1580100309 2106800412 2457933814 2602518156 3160200618 3686900721 4915867628 6320401236 7373801442 11060702163 14747602884 22121404326 44242808652