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214032120414 = 23742943118669
BaseRepresentation
bin1100011101010101001…
…1101111101001011110
3202110110021012020222220
43013111103233221132
512001314210323124
6242154111050210
721314626002030
oct3072523575136
9673407166886
10214032120414
1182852608a32
1235592b10966
131724c4961c8
14a505959c50
15587a2ee879
hex31d54efa5e

214032120414 has 32 divisors (see below), whose sum is σ = 489231790080. Its totient is φ = 61150095072.

The previous prime is 214032120403. The next prime is 214032120431. The reversal of 214032120414 is 414021230412.

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, 1744272 + ... + 1862940.

It is an arithmetic number, because the mean of its divisors is an integer number (15288493440).

Almost surely, 2214032120414 is an apocalyptic number.

214032120414 is an abundant number, since it is smaller than the sum of its proper divisors (275199669666).

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

214032120414 is a wasteful number, since it uses less digits than its factorization.

214032120414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161624.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 214032120414 its reverse (414021230412), we get a palindrome (628053350826).

The spelling of 214032120414 in words is "two hundred fourteen billion, thirty-two million, one hundred twenty thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 42943 85886 118669 128829 237338 257658 300601 356007 601202 712014 830683 901803 1661366 1803606 2492049 4984098 5096002867 10192005734 15288008601 30576017202 35672020069 71344040138 107016060207 214032120414