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433040144225 = 52131332431213
BaseRepresentation
bin1100100110100110011…
…01000011011101100001
31112101202022102121020012
412103103031003131201
524043331234103400
6530534053054305
743200065331053
oct6232315033541
91471668377205
10433040144225
11157718965817
126bb14327395
1331ab2802040
1416d602a38d3
15b3e7395d35
hex64d3343761

433040144225 has 12 divisors (see below), whose sum is σ = 578275146876. Its totient is φ = 319783490880.

The previous prime is 433040144221. The next prime is 433040144291. The reversal of 433040144225 is 522441040334.

It can be written as a sum of positive squares in 6 ways, for example, as 3999424081 + 429040720144 = 63241^2 + 655012^2 .

It is not a de Polignac number, because 433040144225 - 22 = 433040144221 is a prime.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 433040144191 and 433040144200.

It is not an unprimeable number, because it can be changed into a prime (433040144221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 666215282 + ... + 666215931.

It is an arithmetic number, because the mean of its divisors is an integer number (48189595573).

Almost surely, 2433040144225 is an apocalyptic number.

It is an amenable number.

433040144225 is a deficient number, since it is larger than the sum of its proper divisors (145235002651).

433040144225 is a wasteful number, since it uses less digits than its factorization.

433040144225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1332431236 (or 1332431231 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 32.

Adding to 433040144225 its reverse (522441040334), we get a palindrome (955481184559).

The spelling of 433040144225 in words is "four hundred thirty-three billion, forty million, one hundred forty-four thousand, two hundred twenty-five".

Divisors: 1 5 13 25 65 325 1332431213 6662156065 17321605769 33310780325 86608028845 433040144225