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401935026401 is a prime number
BaseRepresentation
bin1011101100101010011…
…00011100100011100001
31102102110112122220012022
411312111030130203201
523041130331321101
6504351342311225
741016216232256
oct5662514344341
91372415586168
10401935026401
11145506931377
1265a93288515
132bb964b698c
141564d18742d
15a6c6724a1b
hex5d9531c8e1

401935026401 has 2 divisors, whose sum is σ = 401935026402. Its totient is φ = 401935026400.

The previous prime is 401935026371. The next prime is 401935026419. The reversal of 401935026401 is 104620539104.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 367234788001 + 34700238400 = 605999^2 + 186280^2 .

It is a cyclic number.

It is not a de Polignac number, because 401935026401 - 214 = 401935010017 is a prime.

It is not a weakly prime, because it can be changed into another prime (401935026421) 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 as a sum of consecutive naturals, namely, 200967513200 + 200967513201.

It is an arithmetic number, because the mean of its divisors is an integer number (200967513201).

Almost surely, 2401935026401 is an apocalyptic number.

It is an amenable number.

401935026401 is a deficient number, since it is larger than the sum of its proper divisors (1).

401935026401 is an equidigital number, since it uses as much as digits as its factorization.

401935026401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 25920, while the sum is 35.

The spelling of 401935026401 in words is "four hundred one billion, nine hundred thirty-five million, twenty-six thousand, four hundred one".