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114214144322322 = 232113654115786079
BaseRepresentation
bin11001111110000010001101…
…100000000010101100010010
3112222101202200002120012010100
4121332002031200002230102
5104432241031421303242
61042525130433513230
733025461653320212
oct3176021540025422
9488352602505110
10114214144322322
1133434a45a05740
1210987571a12816
134b96469889745
14202bdcba86242
15d30e8a78254c
hex67e08d802b12

114214144322322 has 48 divisors (see below), whose sum is σ = 269968109748480. Its totient is φ = 34609397407200.

The previous prime is 114214144322309. The next prime is 114214144322323. The reversal of 114214144322322 is 223223441412411.

114214144322322 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 1 + 4 + 1 + 4 + 4 + 322 + 322 = 666.

It is not an unprimeable number, because it can be changed into a prime (114214144322323) 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 23 ways as a sum of consecutive naturals, for example, 657922 + ... + 15128157.

It is an arithmetic number, because the mean of its divisors is an integer number (5624335619760).

Almost surely, 2114214144322322 is an apocalyptic number.

114214144322322 is an abundant number, since it is smaller than the sum of its proper divisors (155753965426158).

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

114214144322322 is a wasteful number, since it uses less digits than its factorization.

114214144322322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15822639 (or 15822636 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

Adding to 114214144322322 its reverse (223223441412411), we get a palindrome (337437585734733).

The spelling of 114214144322322 in words is "one hundred fourteen trillion, two hundred fourteen billion, one hundred forty-four million, three hundred twenty-two thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 36541 73082 109623 219246 328869 401951 657738 803902 1205853 2411706 3617559 7235118 15786079 31572158 47358237 94716474 142074711 173646869 284149422 347293738 520940607 1041881214 1562821821 3125643642 576839112739 1153678225478 1730517338217 3461034676434 5191552014651 6345230240129 10383104029302 12690460480258 19035690720387 38071381440774 57107072161161 114214144322322