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125104314040 = 23522447139333
BaseRepresentation
bin111010010000011001…
…1000101011010111000
3102221220201211122000121
41310200303011122320
54022203201022130
6133245551343024
712016126060306
oct1644063053270
9387821748017
10125104314040
114906913a882
12202b5221a74
13ba4983a234
1460ab1dd276
1533c3164d7a
hex1d20cc56b8

125104314040 has 32 divisors (see below), whose sum is σ = 281499266880. Its totient is φ = 50039137152.

The previous prime is 125104314019. The next prime is 125104314047. The reversal of 125104314040 is 40413401521.

It is a super-2 number, since 2×1251043140402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 125104313996 and 125104314014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125104314047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 828214 + ... + 967546.

It is an arithmetic number, because the mean of its divisors is an integer number (8796852090).

Almost surely, 2125104314040 is an apocalyptic number.

125104314040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125104314040 is an abundant number, since it is smaller than the sum of its proper divisors (156394952840).

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

125104314040 is a wasteful number, since it uses less digits than its factorization.

125104314040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161791 (or 161787 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 125104314040 its reverse (40413401521), we get a palindrome (165517715561).

The spelling of 125104314040 in words is "one hundred twenty-five billion, one hundred four million, three hundred fourteen thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 22447 44894 89788 112235 139333 179576 224470 278666 448940 557332 696665 897880 1114664 1393330 2786660 5573320 3127607851 6255215702 12510431404 15638039255 25020862808 31276078510 62552157020 125104314040