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44043122134044 = 223211111220005389
BaseRepresentation
bin10100000001110100101101…
…01001100100110000011100
312202221110222220112002111100
422000322112221210300130
521233100303231242134
6233401044143153100
712164003424123225
oct1200722651446034
9182843886462440
1044043122134044
1113040646274250
124b33a285a5790
131b76330220337
14ac39ac90224c
155159e182a999
hex280e96a64c1c

44043122134044 has 36 divisors (see below), whose sum is σ = 121452245885880. Its totient is φ = 13346400646560.

The previous prime is 44043122134043. The next prime is 44043122134049.

44043122134044 is a `hidden beast` number, since 4 + 4 + 0 + 4 + 31 + 2 + 213 + 404 + 4 = 666.

44043122134044 is nontrivially palindromic in base 10.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44043122134043) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 55610002299 + ... + 55610003090.

It is an arithmetic number, because the mean of its divisors is an integer number (3373673496830).

Almost surely, 244043122134044 is an apocalyptic number.

44043122134044 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44043122134044 is an abundant number, since it is smaller than the sum of its proper divisors (77409123751836).

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

44043122134044 is a wasteful number, since it uses less digits than its factorization.

44043122134044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111220005410 (or 111220005405 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

It can be divided in two parts, 4404312 and 2134044, that added together give a palindrome (6538356).

The spelling of 44043122134044 in words is "forty-four trillion, forty-three billion, one hundred twenty-two million, one hundred thirty-four thousand, forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 111220005389 222440010778 333660016167 444880021556 667320032334 1000980048501 1223420059279 1334640064668 2001960097002 2446840118558 3670260177837 4003920194004 4893680237116 7340520355674 11010780533511 14681040711348 22021561067022 44043122134044