Search a number
-
+
40667367337 is a prime number
BaseRepresentation
bin100101110111111101…
…101100011110101001
310212222011211022101021
4211313331230132221
51131241321223322
630403214452441
72636526630112
oct456775543651
9125864738337
1040667367337
1116279739aa3
127a6b504121
133ab140758c
141d7b08d209
1510d03b04c7
hex977f6c7a9

40667367337 has 2 divisors, whose sum is σ = 40667367338. Its totient is φ = 40667367336.

The previous prime is 40667367259. The next prime is 40667367371. The reversal of 40667367337 is 73376376604.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 37719854656 + 2947512681 = 194216^2 + 54291^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-40667367337 is a prime.

It is a super-2 number, since 2×406673673372 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (40667367737) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20333683668 + 20333683669.

It is an arithmetic number, because the mean of its divisors is an integer number (20333683669).

Almost surely, 240667367337 is an apocalyptic number.

It is an amenable number.

40667367337 is a deficient number, since it is larger than the sum of its proper divisors (1).

40667367337 is an equidigital number, since it uses as much as digits as its factorization.

40667367337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8001504, while the sum is 52.

The spelling of 40667367337 in words is "forty billion, six hundred sixty-seven million, three hundred sixty-seven thousand, three hundred thirty-seven".