Search a number
-
+
40144141033 is a prime number
BaseRepresentation
bin100101011000110001…
…101111101011101001
310211121201021122211021
4211120301233223221
51124203400003113
630235244132441
72620544366023
oct453061575351
9124551248737
1040144141033
1116030359367
127944237121
133a29bac709
141d2b7ad013
15109e4aa48d
hex958c6fae9

40144141033 has 2 divisors, whose sum is σ = 40144141034. Its totient is φ = 40144141032.

The previous prime is 40144141007. The next prime is 40144141057. The reversal of 40144141033 is 33014144104.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 39090034944 + 1054106089 = 197712^2 + 32467^2 .

It is a cyclic number.

It is not a de Polignac number, because 40144141033 - 29 = 40144140521 is a prime.

It is a super-2 number, since 2×401441410332 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40144140989 and 40144141007.

It is not a weakly prime, because it can be changed into another prime (40144141633) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20072070516 + 20072070517.

It is an arithmetic number, because the mean of its divisors is an integer number (20072070517).

Almost surely, 240144141033 is an apocalyptic number.

It is an amenable number.

40144141033 is a deficient number, since it is larger than the sum of its proper divisors (1).

40144141033 is an equidigital number, since it uses as much as digits as its factorization.

40144141033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 40144141033 its reverse (33014144104), we get a palindrome (73158285137).

The spelling of 40144141033 in words is "forty billion, one hundred forty-four million, one hundred forty-one thousand, thirty-three".