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125144000560 = 2454751329257
BaseRepresentation
bin111010010001100101…
…0011110100000110000
3102222000111111220200201
41310203022132200300
54022243331004220
6133253530124544
712020120311405
oct1644312364060
9388014456621
10125144000560
1149089586957
1220306580754
13ba54b24197
1460b25b02ac
1533c68a3d0a
hex1d2329e830

125144000560 has 40 divisors (see below), whose sum is σ = 291021926976. Its totient is φ = 50046912000.

The previous prime is 125144000539. The next prime is 125144000561. The reversal of 125144000560 is 65000441521.

125144000560 is digitally balanced in base 3, 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 (40).

It is a super-2 number, since 2×1251440005602 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (125144000561) 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, 215452 + ... + 544708.

Almost surely, 2125144000560 is an apocalyptic number.

125144000560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125144000560 is an abundant number, since it is smaller than the sum of its proper divisors (165877926416).

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

125144000560 is a wasteful number, since it uses less digits than its factorization.

125144000560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334021 (or 334015 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The spelling of 125144000560 in words is "one hundred twenty-five billion, one hundred forty-four million, five hundred sixty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 40 80 4751 9502 19004 23755 38008 47510 76016 95020 190040 329257 380080 658514 1317028 1646285 2634056 3292570 5268112 6585140 13170280 26340560 1564300007 3128600014 6257200028 7821500035 12514400056 15643000070 25028800112 31286000140 62572000280 125144000560