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4214332302129 = 3223611971694191
BaseRepresentation
bin111101010100111001110…
…001111010001100110001
3112220212221001201202211100
4331110321301322030301
51023021423032132004
612544012035035013
7613322040342405
oct75247161721461
915825831652740
104214332302129
111385319798564
1258092343ba69
13247543524351
14107d90ab9105
1574957802739
hex3d539c7a331

4214332302129 has 48 divisors (see below), whose sum is σ = 6488945109504. Its totient is φ = 2629925020800.

The previous prime is 4214332302121. The next prime is 4214332302139. The reversal of 4214332302129 is 9212032334124.

4214332302129 is a `hidden beast` number, since 4 + 2 + 1 + 4 + 332 + 302 + 12 + 9 = 666.

It is not a de Polignac number, because 4214332302129 - 23 = 4214332302121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4214332302093 and 4214332302102.

It is not an unprimeable number, because it can be changed into a prime (4214332302121) 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 47 ways as a sum of consecutive naturals, for example, 1640424 + ... + 3334614.

It is an arithmetic number, because the mean of its divisors is an integer number (135186356448).

Almost surely, 24214332302129 is an apocalyptic number.

It is an amenable number.

4214332302129 is a deficient number, since it is larger than the sum of its proper divisors (2274612807375).

4214332302129 is a wasteful number, since it uses less digits than its factorization.

4214332302129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1694478 (or 1694475 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 4214332302129 in words is "four trillion, two hundred fourteen billion, three hundred thirty-two million, three hundred two thousand, one hundred twenty-nine".

Divisors: 1 3 9 23 61 69 183 197 207 549 591 1403 1773 4209 4531 12017 12627 13593 36051 40779 108153 276391 829173 1694191 2487519 5082573 15247719 38966393 103345651 116899179 310036953 333755627 350697537 930110859 1001266881 2376949973 3003800643 7130849919 7676379421 20359093247 21392549757 23029138263 61077279741 69087414789 183231839223 468259144681 1404777434043 4214332302129