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44343344334344 = 23113896192092693
BaseRepresentation
bin10100001010100011111010…
…10010011000011000001000
312211000011220220120001202012
422011101331102120120020
521303010132122144334
6234151015014555052
712224462260535066
oct1205217522303010
9184004826501665
1044343344334344
11131469a7936960
124b82054368a88
131b987370a9cc3
14ad432d365036
1551d71377b9ce
hex28547d498608

44343344334344 has 64 divisors (see below), whose sum is σ = 91082413656000. Its totient is φ = 20071762341120.

The previous prime is 44343344334319. The next prime is 44343344334353.

44343344334344 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 44343344334292 and 44343344334301.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20143262 + ... + 22235954.

It is an arithmetic number, because the mean of its divisors is an integer number (1423162713375).

Almost surely, 244343344334344 is an apocalyptic number.

44343344334344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44343344334344 is an abundant number, since it is smaller than the sum of its proper divisors (46739069321656).

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

44343344334344 is a wasteful number, since it uses less digits than its factorization.

44343344334344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2093718 (or 2093714 counting only the distinct ones).

The product of its digits is 47775744, while the sum is 50.

It can be divided in two parts, 4434334 and 4334344, that added together give a palindrome (8768678).

The spelling of 44343344334344 in words is "forty-four trillion, three hundred forty-three billion, three hundred forty-four million, three hundred thirty-four thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 22 44 88 389 619 778 1238 1556 2476 3112 4279 4952 6809 8558 13618 17116 27236 34232 54472 240791 481582 963164 1926328 2092693 2648701 4185386 5297402 8370772 10594804 16741544 21189608 23019623 46039246 92078492 184156984 814057577 1295376967 1628115154 2590753934 3256230308 5181507868 6512460616 8954633347 10363015736 14249146637 17909266694 28498293274 35818533388 56996586548 71637066776 113993173096 503901640163 1007803280326 2015606560652 4031213121304 5542918041793 11085836083586 22171672167172 44343344334344