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44311100111344 = 2411251767614269
BaseRepresentation
bin10100001001100111110110…
…11000011011100111110000
312210220002200202100211011201
422010303323120123213300
521301443113112030334
6234124123253220544
712222241240263043
oct1204637330334760
9183802622324151
1044311100111344
1113134260908980
124b77955931754
131b95698a9b801
14ad2950c4ac5a
1551c977aecc14
hex284cfb61b9f0

44311100111344 has 20 divisors (see below), whose sum is σ = 93657552508440. Its totient is φ = 20141409141440.

The previous prime is 44311100111281. The next prime is 44311100111387.

44311100111344 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 125883806959 + ... + 125883807310.

It is an arithmetic number, because the mean of its divisors is an integer number (4682877625422).

Almost surely, 244311100111344 is an apocalyptic number.

44311100111344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44311100111344 is an abundant number, since it is smaller than the sum of its proper divisors (49346452397096).

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

44311100111344 is a wasteful number, since it uses less digits than its factorization.

44311100111344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251767614288 (or 251767614282 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

It can be divided in two parts, 44311100 and 111344, that added together give a palindrome (44422444).

The spelling of 44311100111344 in words is "forty-four trillion, three hundred eleven billion, one hundred million, one hundred eleven thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 22 44 88 176 251767614269 503535228538 1007070457076 2014140914152 2769443756959 4028281828304 5538887513918 11077775027836 22155550055672 44311100111344