Search a number
-
+
40500377745353 is a prime number
BaseRepresentation
bin10010011010101101110101…
…01000001111011111001001
312022101210112221221011202122
421031112322220033133021
520302024233200322403
6222045341111541025
711350025054515451
oct1115267250173711
9168353487834678
1040500377745353
11119a5128438209
1246612b268a775
13197a227a643a6
14a0032b94cd61
154a3793ab9838
hex24d5baa0f7c9

40500377745353 has 2 divisors, whose sum is σ = 40500377745354. Its totient is φ = 40500377745352.

The previous prime is 40500377745349. The next prime is 40500377745461. The reversal of 40500377745353 is 35354777300504.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 29389702185529 + 11110675559824 = 5421227^2 + 3333268^2 .

It is a cyclic number.

It is not a de Polignac number, because 40500377745353 - 22 = 40500377745349 is a prime.

It is a super-3 number, since 3×405003777453533 (a number of 42 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40500377745295 and 40500377745304.

It is not a weakly prime, because it can be changed into another prime (40500377741353) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20250188872676 + 20250188872677.

It is an arithmetic number, because the mean of its divisors is an integer number (20250188872677).

Almost surely, 240500377745353 is an apocalyptic number.

It is an amenable number.

40500377745353 is a deficient number, since it is larger than the sum of its proper divisors (1).

40500377745353 is an equidigital number, since it uses as much as digits as its factorization.

40500377745353 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18522000, while the sum is 53.

The spelling of 40500377745353 in words is "forty trillion, five hundred billion, three hundred seventy-seven million, seven hundred forty-five thousand, three hundred fifty-three".