Search a number
-
+
14953627441 = 3771280173
BaseRepresentation
bin11011110110100111…
…00011111100110001
31102121010212222111101
431323103203330301
5221111112034231
610511500044401
71036364510314
oct157323437461
942533788441
1014953627441
116383a29695
122a93b33701
131544060a7c
14a1bdd297b
155c7c04661
hex37b4e3f31

14953627441 has 12 divisors (see below), whose sum is σ = 15577327156. Its totient is φ = 14344374240.

The previous prime is 14953627421. The next prime is 14953627453. The reversal of 14953627441 is 14472635941.

It can be written as a sum of positive squares in 2 ways, for example, as 8584949025 + 6368678416 = 92655^2 + 79804^2 .

It is not a de Polignac number, because 14953627441 - 27 = 14953627313 is a prime.

It is a super-2 number, since 2×149536274412 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 14953627391 and 14953627400.

It is not an unprimeable number, because it can be changed into a prime (14953627421) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 146431 + ... + 226603.

Almost surely, 214953627441 is an apocalyptic number.

It is an amenable number.

14953627441 is a deficient number, since it is larger than the sum of its proper divisors (623699715).

14953627441 is an frugal number, since it uses more digits than its factorization.

14953627441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80352 (or 80281 counting only the distinct ones).

The product of its digits is 725760, while the sum is 46.

The spelling of 14953627441 in words is "fourteen billion, nine hundred fifty-three million, six hundred twenty-seven thousand, four hundred forty-one".

Divisors: 1 37 71 2627 5041 80173 186517 2966401 5692283 210614471 404152093 14953627441