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40961137392 = 2432740636049
BaseRepresentation
bin100110001001011110…
…010101101011110000
310220201122121101010200
4212021132111223300
51132342022344032
630452311155200
72650024631430
oct461136255360
9126648541120
1040961137392
111640a54886a
127b31975b00
133b2a233806
141da80c02c0
1510eb08d47c
hex989795af0

40961137392 has 60 divisors (see below), whose sum is σ = 131010625200. Its totient is φ = 11703181824.

The previous prime is 40961137381. The next prime is 40961137433. The reversal of 40961137392 is 29373116904.

40961137392 is a `hidden beast` number, since 40 + 96 + 1 + 137 + 392 = 666.

40961137392 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20317017 + ... + 20319032.

It is an arithmetic number, because the mean of its divisors is an integer number (2183510420).

Almost surely, 240961137392 is an apocalyptic number.

40961137392 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

40961137392 is an abundant number, since it is smaller than the sum of its proper divisors (90049487808).

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

40961137392 is a wasteful number, since it uses less digits than its factorization.

40961137392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40636070 (or 40636061 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 40961137392 in words is "forty billion, nine hundred sixty-one million, one hundred thirty-seven thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 40636049 81272098 121908147 162544196 243816294 284452343 325088392 365724441 487632588 568904686 650176784 731448882 853357029 975265176 1137809372 1462897764 1706714058 1950530352 2275618744 2560071087 2925795528 3413428116 4551237488 5120142174 5851591056 6826856232 10240284348 13653712464 20480568696 40961137392