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10144456240 = 245177459159
BaseRepresentation
bin10010111001010100…
…00001111000110000
3222011222120202211111
421130222001320300
5131233440044430
64354342523104
7506250312112
oct113452017060
928158522744
1010144456240
114336310136
121b71436494
13c588c7c39
146c34073b2
153e58e4c2a
hex25ca81e30

10144456240 has 40 divisors (see below), whose sum is σ = 24973267680. Its totient is φ = 3819088896.

The previous prime is 10144456211. The next prime is 10144456243. The reversal of 10144456240 is 4265444101.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (10144456243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3728220 + ... + 3730939.

It is an arithmetic number, because the mean of its divisors is an integer number (624331692).

Almost surely, 210144456240 is an apocalyptic number.

10144456240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10144456240 is an abundant number, since it is smaller than the sum of its proper divisors (14828811440).

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

10144456240 is a wasteful number, since it uses less digits than its factorization.

10144456240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7459189 (or 7459183 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

The spelling of 10144456240 in words is "ten billion, one hundred forty-four million, four hundred fifty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 7459159 14918318 29836636 37295795 59673272 74591590 119346544 126805703 149183180 253611406 298366360 507222812 596732720 634028515 1014445624 1268057030 2028891248 2536114060 5072228120 10144456240