Search a number
-
+
40905253784033 is a prime number
BaseRepresentation
bin10010100110011111111110…
…00111110000100111100001
312100211111121110121222100122
421103033333013300213201
520330142424432042113
6222555340354330025
711421210215203622
oct1123177707604741
9170744543558318
1040905253784033
11120409033aa641
124707866889915
1319a946c64b302
14a15b79545a49
154ae08d5d0408
hex2533ff1f09e1

40905253784033 has 2 divisors, whose sum is σ = 40905253784034. Its totient is φ = 40905253784032.

The previous prime is 40905253784029. The next prime is 40905253784113. The reversal of 40905253784033 is 33048735250904.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 37913488556449 + 2991765227584 = 6157393^2 + 1729672^2 .

It is a cyclic number.

It is not a de Polignac number, because 40905253784033 - 22 = 40905253784029 is a prime.

It is a super-2 number, since 2×409052537840332 (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (40905253784023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20452626892016 + 20452626892017.

It is an arithmetic number, because the mean of its divisors is an integer number (20452626892017).

Almost surely, 240905253784033 is an apocalyptic number.

It is an amenable number.

40905253784033 is a deficient number, since it is larger than the sum of its proper divisors (1).

40905253784033 is an equidigital number, since it uses as much as digits as its factorization.

40905253784033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10886400, while the sum is 53.

The spelling of 40905253784033 in words is "forty trillion, nine hundred five billion, two hundred fifty-three million, seven hundred eighty-four thousand, thirty-three".