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44011300311044 = 221137310979244253
BaseRepresentation
bin10100000000111001011011…
…11010111101000000000100
312202211102212012010222210022
422000130231322331000010
521232040120334423134
6233334302351114312
712161466023106113
oct1200345572750004
9182742765128708
1044011300311044
11130290a6720680
124b29827512998
131b7332b597081
14ac223053dc7a
15514c7ccd752e
hex28072debd004

44011300311044 has 48 divisors (see below), whose sum is σ = 84254850630720. Its totient is φ = 19949604512640.

The previous prime is 44011300311007. The next prime is 44011300311101.

It is a happy number.

44011300311044 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×440113003110442 (a number of 28 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 180065222 + ... + 180309474.

It is an arithmetic number, because the mean of its divisors is an integer number (1755309388140).

Almost surely, 244011300311044 is an apocalyptic number.

44011300311044 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44011300311044 is a deficient number, since it is larger than the sum of its proper divisors (40243550319676).

44011300311044 is a wasteful number, since it uses less digits than its factorization.

44011300311044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255620 (or 255618 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

It can be divided in two parts, 44011300 and 311044, that added together give a palindrome (44322344).

The spelling of 44011300311044 in words is "forty-four trillion, eleven billion, three hundred million, three hundred eleven thousand, forty-four".

Divisors: 1 2 4 11 22 44 373 746 1492 4103 8206 10979 16412 21958 43916 120769 241538 244253 483076 488506 977012 2686783 4095167 5373566 8190334 10747132 16380668 45046837 90093674 91106369 180187348 182212738 364425476 1002170059 2004340118 2681653687 4008680236 5363307374 10726614748 29498190557 58996381114 117992762228 1000256825251 2000513650502 4001027301004 11002825077761 22005650155522 44011300311044