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401175040033 is a prime number
BaseRepresentation
bin1011101011001111110…
…01010101000000100001
31102100111120121120220001
411311213321111000201
523033101302240113
6504144113220001
740661330401465
oct5654771250041
91370446546801
10401175040033
11145156940369
1265900861601
132baa4c038c1
14155ba2764a5
15a67eb537dd
hex5d67e55021

401175040033 has 2 divisors, whose sum is σ = 401175040034. Its totient is φ = 401175040032.

The previous prime is 401175039949. The next prime is 401175040037. The reversal of 401175040033 is 330040571104.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 385371533089 + 15803506944 = 620783^2 + 125712^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-401175040033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 401175039983 and 401175040010.

It is not a weakly prime, because it can be changed into another prime (401175040037) 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, 200587520016 + 200587520017.

It is an arithmetic number, because the mean of its divisors is an integer number (200587520017).

Almost surely, 2401175040033 is an apocalyptic number.

It is an amenable number.

401175040033 is a deficient number, since it is larger than the sum of its proper divisors (1).

401175040033 is an equidigital number, since it uses as much as digits as its factorization.

401175040033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5040, while the sum is 28.

The spelling of 401175040033 in words is "four hundred one billion, one hundred seventy-five million, forty thousand, thirty-three".