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125244430740 = 223651121343127
BaseRepresentation
bin111010010100100100…
…1100101100110010100
3102222021111111022000000
41310221021211212110
54023000033240430
6133311514451300
712022450044642
oct1645111454624
9388244438000
10125244430740
1149130241600
1220334133b30
13ba6c888720
1460c1a74192
1533d05e0e60
hex1d29265994

125244430740 has 1008 divisors, whose sum is σ = 481406306304. Its totient is φ = 27159390720.

The previous prime is 125244430693. The next prime is 125244430789. The reversal of 125244430740 is 47034442521.

125244430740 is a `hidden beast` number, since 125 + 24 + 443 + 0 + 74 + 0 = 666.

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 = 125244430695 and 125244430704.

It is a congruent number.

It is an unprimeable number.

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 335 ways as a sum of consecutive naturals, for example, 986176557 + ... + 986176683.

Almost surely, 2125244430740 is an apocalyptic number.

125244430740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125244430740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240703153152).

125244430740 is an abundant number, since it is smaller than the sum of its proper divisors (356161875564).

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

125244430740 is a wasteful number, since it uses less digits than its factorization.

125244430740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The spelling of 125244430740 in words is "one hundred twenty-five billion, two hundred forty-four million, four hundred thirty thousand, seven hundred forty".