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214253942399 = 7757101939679
BaseRepresentation
bin1100011110001010000…
…1111011011001111111
3202111000201120222112222
43013202201323121333
512002243002124044
6242232113315555
721323261314250
oct3074241733177
9674021528488
10214253942399
1182956846092
1235635265bbb
1317286421013
14a5271bcb27
15588ea198ee
hex31e287b67f

214253942399 has 16 divisors (see below), whose sum is σ = 245431910400. Its totient is φ = 183219037344.

The previous prime is 214253942381. The next prime is 214253942429. The reversal of 214253942399 is 993249352412.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-214253942399 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 214253942399.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214253942359) 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 15 ways as a sum of consecutive naturals, for example, 5379842 + ... + 5419520.

It is an arithmetic number, because the mean of its divisors is an integer number (15339494400).

Almost surely, 2214253942399 is an apocalyptic number.

214253942399 is a deficient number, since it is larger than the sum of its proper divisors (31177968001).

214253942399 is a wasteful number, since it uses less digits than its factorization.

214253942399 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41462.

The product of its digits is 4199040, while the sum is 53.

The spelling of 214253942399 in words is "two hundred fourteen billion, two hundred fifty-three million, nine hundred forty-two thousand, three hundred ninety-nine".

Divisors: 1 7 757 1019 5299 7133 39679 277753 771383 5399681 30037003 40432901 210259021 283030307 30607706057 214253942399