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214125618128 = 2417377357521
BaseRepresentation
bin1100011101101011100…
…0011010001111010000
3202110200210010102202012
43013122320122033100
512002012124240003
6242211251042052
721320142503102
oct3073270321720
9673623112665
10214125618128
11828a0369174
12355ba2a0328
13172659711b6
14a514137572
15588361c8d8
hex31dae1a3d0

214125618128 has 20 divisors (see below), whose sum is σ = 417266473668. Its totient is φ = 106443947520.

The previous prime is 214125618127. The next prime is 214125618131. The reversal of 214125618128 is 821816521412.

214125618128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 126445670464 + 87679947664 = 355592^2 + 296108^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214125618127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 38675993 + ... + 38681528.

Almost surely, 2214125618128 is an apocalyptic number.

It is an amenable number.

214125618128 is a deficient number, since it is larger than the sum of its proper divisors (203140855540).

214125618128 is a wasteful number, since it uses less digits than its factorization.

214125618128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77357702 (or 77357696 counting only the distinct ones).

The product of its digits is 61440, while the sum is 41.

The spelling of 214125618128 in words is "two hundred fourteen billion, one hundred twenty-five million, six hundred eighteen thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 173 346 692 1384 2768 77357521 154715042 309430084 618860168 1237720336 13382851133 26765702266 53531404532 107062809064 214125618128