Search a number
-
+
34042666624043 = 7111313374904989
BaseRepresentation
bin1111011110110001011010…
…00011010010010000101011
311110112110001222011112102012
413233120231003102100223
513430223340123432133
6200222552443030135
710112334004620260
oct757305503222053
9143473058145365
1034042666624043
11a935460900890
12399984420b34b
1315cc2958b918c
148599610bd267
153e07db90bb48
hex1ef62d0d242b

34042666624043 has 16 divisors (see below), whose sum is σ = 42766796033280. Its totient is φ = 26324258906400.

The previous prime is 34042666623989. The next prime is 34042666624051.

34042666624043 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34042666624043 - 244 = 16450480579627 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34042666623982 and 34042666624000.

It is not an unprimeable number, because it can be changed into a prime (34042662624043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1687442408 + ... + 1687462581.

It is an arithmetic number, because the mean of its divisors is an integer number (2672924752080).

Almost surely, 234042666624043 is an apocalyptic number.

34042666624043 is a deficient number, since it is larger than the sum of its proper divisors (8724129409237).

34042666624043 is a wasteful number, since it uses less digits than its factorization.

34042666624043 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3374905138.

The product of its (nonzero) digits is 11943936, while the sum is 50.

The spelling of 34042666624043 in words is "thirty-four trillion, forty-two billion, six hundred sixty-six million, six hundred twenty-four thousand, forty-three".

Divisors: 1 7 11 77 131 917 1441 10087 3374904989 23624334923 37123954879 259867684153 442112553559 3094787874913 4863238089149 34042666624043