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40137041378279 is a prime number
BaseRepresentation
bin10010010000001001000100…
…00101111111101111100111
312021010001201102110100001102
421020010202011333233213
520230101130043101104
6221210411404350315
711311543205405516
oct1110044205775747
9167101642410042
1040137041378279
111187502953a99a
1246029b1b4539b
131951ba3202201
149ca900bd267d
154990cad1ea1e
hex24812217fbe7

40137041378279 has 2 divisors, whose sum is σ = 40137041378280. Its totient is φ = 40137041378278.

The previous prime is 40137041378267. The next prime is 40137041378341. The reversal of 40137041378279 is 97287314073104.

40137041378279 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-40137041378279 is a prime.

It is a super-2 number, since 2×401370413782792 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (40137041378249) 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, 20068520689139 + 20068520689140.

It is an arithmetic number, because the mean of its divisors is an integer number (20068520689140).

Almost surely, 240137041378279 is an apocalyptic number.

40137041378279 is a deficient number, since it is larger than the sum of its proper divisors (1).

40137041378279 is an equidigital number, since it uses as much as digits as its factorization.

40137041378279 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7112448, while the sum is 56.

The spelling of 40137041378279 in words is "forty trillion, one hundred thirty-seven billion, forty-one million, three hundred seventy-eight thousand, two hundred seventy-nine".