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40444288224 = 2531492827481
BaseRepresentation
bin100101101010101010…
…101101110011100000
310212101122001201100220
4211222222231303200
51130312214210344
630325125243040
72631150530514
oct455252556340
9125348051326
1040444288224
111617482339a
127a08863480
133a7712c4c2
141d595c0144
1510ba9e7c19
hex96aaadce0

40444288224 has 48 divisors (see below), whose sum is σ = 106878819600. Its totient is φ = 13390945280.

The previous prime is 40444288217. The next prime is 40444288303. The reversal of 40444288224 is 42288244404.

40444288224 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 (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1399437 + ... + 1428044.

It is an arithmetic number, because the mean of its divisors is an integer number (2226642075).

Almost surely, 240444288224 is an apocalyptic number.

It is an amenable number.

40444288224 is an abundant number, since it is smaller than the sum of its proper divisors (66434531376).

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

40444288224 is a wasteful number, since it uses less digits than its factorization.

40444288224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2827643 (or 2827635 counting only the distinct ones).

The product of its (nonzero) digits is 524288, while the sum is 42.

The spelling of 40444288224 in words is "forty billion, four hundred forty-four million, two hundred eighty-eight thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 149 298 447 596 894 1192 1788 2384 3576 4768 7152 14304 2827481 5654962 8482443 11309924 16964886 22619848 33929772 45239696 67859544 90479392 135719088 271438176 421294669 842589338 1263884007 1685178676 2527768014 3370357352 5055536028 6740714704 10111072056 13481429408 20222144112 40444288224