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31043538144 = 253335930021
BaseRepresentation
bin11100111010010101…
…101100110011100000
32222010110220010121000
4130322111230303200
51002034121210034
622132230432000
72146200502053
oct347225546340
988113803530
1031043538144
11121902a4753
126024502600
132c096373a8
141706c8aa9a
15c1a55a599
hex73a56cce0

31043538144 has 48 divisors (see below), whose sum is σ = 90543655440. Its totient is φ = 10347845760.

The previous prime is 31043538079. The next prime is 31043538161. The reversal of 31043538144 is 44183534013.

31043538144 is a `hidden beast` number, since 3 + 104 + 3 + 538 + 14 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a junction number, because it is equal to n+sod(n) for n = 31043538099 and 31043538108.

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, 17964147 + ... + 17965874.

It is an arithmetic number, because the mean of its divisors is an integer number (1886326155).

Almost surely, 231043538144 is an apocalyptic number.

It is an amenable number.

31043538144 is an abundant number, since it is smaller than the sum of its proper divisors (59500117296).

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

31043538144 is a wasteful number, since it uses less digits than its factorization.

31043538144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35930040 (or 35930026 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 31043538144 in words is "thirty-one billion, forty-three million, five hundred thirty-eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 35930021 71860042 107790063 143720084 215580126 287440168 323370189 431160252 574880336 646740378 862320504 970110567 1149760672 1293480756 1724641008 1940221134 2586961512 3449282016 3880442268 5173923024 7760884536 10347846048 15521769072 31043538144