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125140484700 = 22325271119101941
BaseRepresentation
bin111010010001011110…
…1000100001001011100
3102222000020220021211200
41310202331010021130
54022241431002300
6133253322515500
712020045366160
oct1644275041134
9388006807750
10125140484700
11490875a5390
1220305365b90
13ba54192aaa
1460b1d36ca0
1533c640c200
hex1d22f4425c

125140484700 has 864 divisors, whose sum is σ = 520421690880. Its totient is φ = 24364800000.

The previous prime is 125140484671. The next prime is 125140484701. The reversal of 125140484700 is 7484041521.

It is a happy number.

125140484700 is a `hidden beast` number, since 1 + 2 + 5 + 140 + 48 + 470 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125140484701) 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 287 ways as a sum of consecutive naturals, for example, 132986230 + ... + 132987170.

It is an arithmetic number, because the mean of its divisors is an integer number (602339920).

Almost surely, 2125140484700 is an apocalyptic number.

125140484700 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 125140484700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260210845440).

125140484700 is an abundant number, since it is smaller than the sum of its proper divisors (395281206180).

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

125140484700 is a wasteful number, since it uses less digits than its factorization.

125140484700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1099 (or 1089 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The spelling of 125140484700 in words is "one hundred twenty-five billion, one hundred forty million, four hundred eighty-four thousand, seven hundred".