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214332444233412 = 22347033797796517
BaseRepresentation
bin110000101110111100101001…
…001100111100111011000100
31001002212222111120000212100120
4300232330221030330323010
5211043110321210432122
62035502544322141540
763101002526232441
oct6056745114747304
91032788446025316
10214332444233412
1162324974152a7a
1220057091ab18b0
13927960290bb7b
143acda620d49c8
1519ba42ab3775c
hexc2ef2933cec4

214332444233412 has 24 divisors (see below), whose sum is σ = 500215374978816. Its totient is φ = 71428956872928.

The previous prime is 214332444233399. The next prime is 214332444233417.

214332444233412 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (214332444233417) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1898841823 + ... + 1898954694.

It is an arithmetic number, because the mean of its divisors is an integer number (20842307290784).

Almost surely, 2214332444233412 is an apocalyptic number.

It is an amenable number.

214332444233412 is an abundant number, since it is smaller than the sum of its proper divisors (285882930745404).

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

214332444233412 is a wasteful number, since it uses less digits than its factorization.

214332444233412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3797801227 (or 3797801225 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 42.

The spelling of 214332444233412 in words is "two hundred fourteen trillion, three hundred thirty-two billion, four hundred forty-four million, two hundred thirty-three thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 4703 9406 14109 18812 28218 56436 3797796517 7595593034 11393389551 15191186068 22786779102 45573558204 17861037019451 35722074038902 53583111058353 71444148077804 107166222116706 214332444233412