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434440141625 = 537895155469
BaseRepresentation
bin1100101001001101010…
…01100111101100111001
31112112100212202211121202
412110212221213230321
524104213134013000
6531325023543545
743246555163120
oct6244651475471
91475325684552
10434440141625
11158277152566
127024515abb5
1331c7687c579
14170541b4ab7
15b47a239dd5
hex6526a67b39

434440141625 has 32 divisors (see below), whose sum is σ = 619716165120. Its totient is φ = 297863160000.

The previous prime is 434440141591. The next prime is 434440141703. The reversal of 434440141625 is 526141044434.

It is a de Polignac number, because none of the positive numbers 2k-434440141625 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7804391 + ... + 7859859.

It is an arithmetic number, because the mean of its divisors is an integer number (19366130160).

Almost surely, 2434440141625 is an apocalyptic number.

It is an amenable number.

434440141625 is a deficient number, since it is larger than the sum of its proper divisors (185276023495).

434440141625 is an equidigital number, since it uses as much as digits as its factorization.

434440141625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64442 (or 64432 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 38.

The spelling of 434440141625 in words is "four hundred thirty-four billion, four hundred forty million, one hundred forty-one thousand, six hundred twenty-five".

Divisors: 1 5 7 25 35 125 175 875 8951 44755 55469 62657 223775 277345 313285 388283 1118875 1386725 1566425 1941415 6933625 7832125 9707075 48535375 496503019 2482515095 3475521133 12412575475 17377605665 62062877375 86888028325 434440141625