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44012433421044 = 223211111142508639
BaseRepresentation
bin10100000000111011100010…
…11101011011001011110100
312202211112210011021221111100
422000131301131123023310
521232044430423433134
6233335011025410100
712161536062302604
oct1200356135331364
9182745704257440
1044012433421044
111302962829aa20
124b29aa2a99930
131b7347c26b46a
14ac22dac1ac04
15514ce750d999
hex28077175b2f4

44012433421044 has 36 divisors (see below), whose sum is σ = 121367619434880. Its totient is φ = 13337101036560.

The previous prime is 44012433421027. The next prime is 44012433421051.

44012433421044 is a `hidden beast` number, since 4 + 4 + 0 + 1 + 2 + 433 + 4 + 210 + 4 + 4 = 666.

44012433421044 is nontrivially palindromic in base 10.

44012433421044 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55571253924 + ... + 55571254715.

It is an arithmetic number, because the mean of its divisors is an integer number (3371322762080).

Almost surely, 244012433421044 is an apocalyptic number.

44012433421044 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44012433421044 is an abundant number, since it is smaller than the sum of its proper divisors (77355186013836).

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

44012433421044 is a wasteful number, since it uses less digits than its factorization.

44012433421044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111142508660 (or 111142508655 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, 4401243 and 3421044, that added together give a palindrome (7822287).

The spelling of 44012433421044 in words is "forty-four trillion, twelve billion, four hundred thirty-three million, four hundred twenty-one thousand, forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 111142508639 222285017278 333427525917 444570034556 666855051834 1000282577751 1222567595029 1333710103668 2000565155502 2445135190058 3667702785087 4001130311004 4890270380116 7335405570174 11003108355261 14670811140348 22006216710522 44012433421044