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40242412993 is a prime number
BaseRepresentation
bin100101011110101000…
…100111110111000001
310211212120012101121111
4211132220213313001
51124404024203433
630253114323321
72623146603136
oct453650476701
9124776171544
1040242412993
111608087a562
127971129541
133a443697c3
141d3a87058d
1510a7e1cdcd
hex95ea27dc1

40242412993 has 2 divisors, whose sum is σ = 40242412994. Its totient is φ = 40242412992.

The previous prime is 40242412981. The next prime is 40242413021. The reversal of 40242412993 is 39921424204.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 33106894209 + 7135518784 = 181953^2 + 84472^2 .

It is a cyclic number.

It is not a de Polignac number, because 40242412993 - 213 = 40242404801 is a prime.

It is not a weakly prime, because it can be changed into another prime (40242413993) 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, 20121206496 + 20121206497.

It is an arithmetic number, because the mean of its divisors is an integer number (20121206497).

Almost surely, 240242412993 is an apocalyptic number.

It is an amenable number.

40242412993 is a deficient number, since it is larger than the sum of its proper divisors (1).

40242412993 is an equidigital number, since it uses as much as digits as its factorization.

40242412993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 124416, while the sum is 40.

The spelling of 40242412993 in words is "forty billion, two hundred forty-two million, four hundred twelve thousand, nine hundred ninety-three".