Search a number
-
+
40131304193 is a prime number
BaseRepresentation
bin100101011000000000…
…110001101100000001
310211120211010110222202
4211120000301230001
51124142103213233
630234105042545
72620330312601
oct453000615401
9124524113882
1040131304193
1116024090902
12793ba86455
133a27336856
141d29bcac01
15109d2c1be8
hex958031b01

40131304193 has 2 divisors, whose sum is σ = 40131304194. Its totient is φ = 40131304192.

The previous prime is 40131304141. The next prime is 40131304217. The reversal of 40131304193 is 39140313104.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 35440698049 + 4690606144 = 188257^2 + 68488^2 .

It is a cyclic number.

It is not a de Polignac number, because 40131304193 - 234 = 22951435009 is a prime.

It is a super-2 number, since 2×401313041932 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (40131334193) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20065652096 + 20065652097.

It is an arithmetic number, because the mean of its divisors is an integer number (20065652097).

Almost surely, 240131304193 is an apocalyptic number.

It is an amenable number.

40131304193 is a deficient number, since it is larger than the sum of its proper divisors (1).

40131304193 is an equidigital number, since it uses as much as digits as its factorization.

40131304193 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3888, while the sum is 29.

Adding to 40131304193 its reverse (39140313104), we get a palindrome (79271617297).

The spelling of 40131304193 in words is "forty billion, one hundred thirty-one million, three hundred four thousand, one hundred ninety-three".