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125260436340 = 223451310158889
BaseRepresentation
bin111010010101000011…
…0101001001101110100
3102222022121121110120000
41310222012221031310
54023013132430330
6133313245511300
712023033066334
oct1645206511564
9388277543500
10125260436340
1149139283876
1220339572530
13ba72ca09b0
1460c3c3d0c4
1533d1c03560
hex1d2a1a9374

125260436340 has 240 divisors, whose sum is σ = 427370383440. Its totient is φ = 30527539200.

The previous prime is 125260436333. The next prime is 125260436351. The reversal of 125260436340 is 43634062521.

125260436340 is a `hidden beast` number, since 1 + 2 + 5 + 2 + 604 + 3 + 6 + 3 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1844530704 + 123415905636 = 42948^2 + 351306^2 .

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 = 125260436295 and 125260436304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2097616 + ... + 2156504.

It is an arithmetic number, because the mean of its divisors is an integer number (1780709931).

Almost surely, 2125260436340 is an apocalyptic number.

125260436340 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 125260436340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213685191720).

125260436340 is an abundant number, since it is smaller than the sum of its proper divisors (302109947100).

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

125260436340 is a wasteful number, since it uses less digits than its factorization.

125260436340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59024 (or 59013 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 125260436340 its reverse (43634062521), we get a palindrome (168894498861).

The spelling of 125260436340 in words is "one hundred twenty-five billion, two hundred sixty million, four hundred thirty-six thousand, three hundred forty".