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44044444880 = 2456173123637
BaseRepresentation
bin101001000001010000…
…001110010011010000
311012200112101121212022
4221001100032103100
51210200334214010
632122253151012
73116314414202
oct510120162320
9135615347768
1044044444880
1117751a39377
12865248b468
1341cbc65a07
1421bb7b0772
15122badad55
hexa4140e4d0

44044444880 has 80 divisors (see below), whose sum is σ = 105508712784. Its totient is φ = 17091440640.

The previous prime is 44044444879. The next prime is 44044444919. The reversal of 44044444880 is 8844444044.

It can be written as a sum of positive squares in 8 ways, for example, as 14069755456 + 29974689424 = 118616^2 + 173132^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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, 294422 + ... + 418058.

Almost surely, 244044444880 is an apocalyptic number.

44044444880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44044444880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52754356392).

44044444880 is an abundant number, since it is smaller than the sum of its proper divisors (61464267904).

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

44044444880 is a wasteful number, since it uses less digits than its factorization.

44044444880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123784 (or 123778 counting only the distinct ones).

The product of its (nonzero) digits is 1048576, while the sum is 44.

The spelling of 44044444880 in words is "forty-four billion, forty-four million, four hundred forty-four thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 61 73 80 122 146 244 292 305 365 488 584 610 730 976 1168 1220 1460 2440 2920 4453 4880 5840 8906 17812 22265 35624 44530 71248 89060 123637 178120 247274 356240 494548 618185 989096 1236370 1978192 2472740 4945480 7541857 9025501 9890960 15083714 18051002 30167428 36102004 37709285 45127505 60334856 72204008 75418570 90255010 120669712 144408016 150837140 180510020 301674280 361020040 550555561 603348560 722040080 1101111122 2202222244 2752777805 4404444488 5505555610 8808888976 11011111220 22022222440 44044444880