Search a number
-
+
3425040114264 = 2332400371188151
BaseRepresentation
bin110001110101110100010…
…011001010001001011000
3110010102121221020020200100
4301311310103022021120
5422103440232124024
611141235224135400
7502310454421506
oct61656423121130
913112557206610
103425040114264
11110060794358a
12473967007560
131bac97aab2b2
14bbab68c5676
155e15e5d57c9
hex31d744ca258

3425040114264 has 48 divisors (see below), whose sum is σ = 9276389806320. Its totient is φ = 1141650561600.

The previous prime is 3425040114227. The next prime is 3425040114277. The reversal of 3425040114264 is 4624110405243.

3425040114264 is a `hidden beast` number, since 3 + 4 + 2 + 50 + 401 + 142 + 64 = 666.

It is a super-3 number, since 3×34250401142643 (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2288589 + ... + 3476739.

It is an arithmetic number, because the mean of its divisors is an integer number (193258120965).

Almost surely, 23425040114264 is an apocalyptic number.

It is an amenable number.

3425040114264 is an abundant number, since it is smaller than the sum of its proper divisors (5851349692056).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3425040114264 is a wasteful number, since it uses less digits than its factorization.

3425040114264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1228200 (or 1228193 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 3425040114264 in words is "three trillion, four hundred twenty-five billion, forty million, one hundred fourteen thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 40037 80074 120111 160148 240222 320296 360333 480444 720666 960888 1188151 1441332 2376302 2882664 3564453 4752604 7128906 9505208 10693359 14257812 21386718 28515624 42773436 85546872 47570001587 95140003174 142710004761 190280006348 285420009522 380560012696 428130014283 570840019044 856260028566 1141680038088 1712520057132 3425040114264