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412412464214214 = 23139624779157893
BaseRepresentation
bin101110111000101100100001…
…0011011100011000011000110
32000002020020122201112021110120
41131301121002123203003012
5413023431211314323324
64021043400500402410
7152603550215632662
oct13561310233430306
92002206581467416
10412412464214214
1110a453164529482
123a30836b9a6406
1314917436945c49
1473bac269258a2
1532a2bdbd13179
hex17716426e30c6

412412464214214 has 32 divisors (see below), whose sum is σ = 830891916476160. Its totient is φ = 136459973387232.

The previous prime is 412412464214197. The next prime is 412412464214243.

412412464214214 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

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, 34368949 + ... + 44788944.

It is an arithmetic number, because the mean of its divisors is an integer number (25965372389880).

Almost surely, 2412412464214214 is an apocalyptic number.

412412464214214 is an abundant number, since it is smaller than the sum of its proper divisors (418479452261946).

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

412412464214214 is a wasteful number, since it uses less digits than its factorization.

412412464214214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79164284.

The product of its digits is 393216, while the sum is 42.

The spelling of 412412464214214 in words is "four hundred twelve trillion, four hundred twelve billion, four hundred sixty-four million, two hundred fourteen thousand, two hundred fourteen".

Divisors: 1 2 3 6 139 278 417 834 6247 12494 18741 37482 868333 1736666 2604999 5209998 79157893 158315786 237473679 474947358 11002947127 22005894254 33008841381 66017682762 494499357571 988998715142 1483498072713 2966996145426 68735410702369 137470821404738 206206232107107 412412464214214