Search a number
-
+
2430365353137 = 32270040594793
BaseRepresentation
bin100011010111011101000…
…100000100010010110001
322121100012100011222121200
4203113131010010102301
5304304342012300022
65100254444041413
7340405501435311
oct43273504042261
98540170158550
102430365353137
11857791978457
12333030533269
1314824ab67c97
14858b7803441
154334561cbac
hex235dd1044b1

2430365353137 has 6 divisors (see below), whose sum is σ = 3510527732322. Its totient is φ = 1620243568752.

The previous prime is 2430365353111. The next prime is 2430365353147. The reversal of 2430365353137 is 7313535630342.

2430365353137 is a `hidden beast` number, since 2 + 4 + 3 + 0 + 36 + 53 + 531 + 37 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1379393874576 + 1050971478561 = 1174476^2 + 1025169^2 .

It is not a de Polignac number, because 2430365353137 - 231 = 2428217869489 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2430365353092 and 2430365353101.

It is not an unprimeable number, because it can be changed into a prime (2430365353147) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 135020297388 + ... + 135020297405.

It is an arithmetic number, because the mean of its divisors is an integer number (585087955387).

Almost surely, 22430365353137 is an apocalyptic number.

It is an amenable number.

2430365353137 is a deficient number, since it is larger than the sum of its proper divisors (1080162379185).

2430365353137 is a wasteful number, since it uses less digits than its factorization.

2430365353137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270040594799 (or 270040594796 counting only the distinct ones).

The product of its (nonzero) digits is 2041200, while the sum is 45.

The spelling of 2430365353137 in words is "two trillion, four hundred thirty billion, three hundred sixty-five million, three hundred fifty-three thousand, one hundred thirty-seven".

Divisors: 1 3 9 270040594793 810121784379 2430365353137