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31145106144 = 253324428189
BaseRepresentation
bin11101000000011001…
…001001101011100000
32222101120000022200210
4131000121021223200
51002241121344034
622150255414120
72151543014505
oct350031115340
988346008623
1031145106144
1112232667249
126052524340
132c246a97b9
1417165694ac
15c2441e8e9
hex740649ae0

31145106144 has 24 divisors (see below), whose sum is σ = 81755903880. Its totient is φ = 10381702016.

The previous prime is 31145106143. The next prime is 31145106221. The reversal of 31145106144 is 44160154113.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31145106143) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 162213999 + ... + 162214190.

It is an arithmetic number, because the mean of its divisors is an integer number (3406495995).

Almost surely, 231145106144 is an apocalyptic number.

It is an amenable number.

31145106144 is an abundant number, since it is smaller than the sum of its proper divisors (50610797736).

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

31145106144 is a wasteful number, since it uses less digits than its factorization.

31145106144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324428202 (or 324428194 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 31145106144 in words is "thirty-one billion, one hundred forty-five million, one hundred six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 324428189 648856378 973284567 1297712756 1946569134 2595425512 3893138268 5190851024 7786276536 10381702048 15572553072 31145106144