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431142116025 = 35220051286697
BaseRepresentation
bin1100100011000100001…
…00101001101010111001
31112012212000221210000110
412101202010221222321
524030434340203100
6530021451454533
743102050343125
oct6214204515271
91465760853013
10431142116025
11156934537075
126b684757449
133186c50bb2a
1416c20190585
15b335927250
hex6462129ab9

431142116025 has 24 divisors (see below), whose sum is σ = 712859668704. Its totient is φ = 229930192000.

The previous prime is 431142116003. The next prime is 431142116059. The reversal of 431142116025 is 520611241134.

It is not a de Polignac number, because 431142116025 - 213 = 431142107833 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 431142115983 and 431142116001.

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 23 ways as a sum of consecutive naturals, for example, 1360477 + ... + 1647173.

It is an arithmetic number, because the mean of its divisors is an integer number (29702486196).

Almost surely, 2431142116025 is an apocalyptic number.

It is an amenable number.

431142116025 is a deficient number, since it is larger than the sum of its proper divisors (281717552679).

431142116025 is a wasteful number, since it uses less digits than its factorization.

431142116025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306761 (or 306756 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

Adding to 431142116025 its reverse (520611241134), we get a palindrome (951753357159).

The spelling of 431142116025 in words is "four hundred thirty-one billion, one hundred forty-two million, one hundred sixteen thousand, twenty-five".

Divisors: 1 3 5 15 25 75 20051 60153 100255 286697 300765 501275 860091 1433485 1503825 4300455 7167425 21502275 5748561547 17245684641 28742807735 86228423205 143714038675 431142116025