Search a number
-
+
122642326314 = 234757051397
BaseRepresentation
bin111001000111000001…
…1010110001100101010
3102201120011011200210000
41302032003112030222
54002132413420224
6132201402403430
711601122400444
oct1621603261452
9381504150700
10122642326314
1148015439a82
121b928800576
13b746759971
145d16245494
1532cbe470c9
hex1c8e0d632a

122642326314 has 20 divisors (see below), whose sum is σ = 274809657474. Its totient is φ = 40880775384.

The previous prime is 122642326307. The next prime is 122642326327. The reversal of 122642326314 is 413623246221.

122642326314 is a `hidden beast` number, since 1 + 2 + 2 + 642 + 3 + 2 + 6 + 3 + 1 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 74792951289 + 47849375025 = 273483^2 + 218745^2 .

It is a super-2 number, since 2×1226423263142 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 378525537 + ... + 378525860.

Almost surely, 2122642326314 is an apocalyptic number.

122642326314 is an abundant number, since it is smaller than the sum of its proper divisors (152167331160).

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

122642326314 is an equidigital number, since it uses as much as digits as its factorization.

122642326314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 757051411 (or 757051402 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The spelling of 122642326314 in words is "one hundred twenty-two billion, six hundred forty-two million, three hundred twenty-six thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 81 162 757051397 1514102794 2271154191 4542308382 6813462573 13626925146 20440387719 40880775438 61321163157 122642326314