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232114143122244 = 223210069640343141
BaseRepresentation
bin110100110001101101001001…
…000011000101001101000100
31010102211220011201121001122200
4310301231021003011031010
5220410424231114402434
62141355433144554500
766614456564032125
oct6461551103051504
91112756151531580
10232114143122244
1167a60067653369
1222049338a82a30
139c693679122c6
144146554db204c
151bc7c4ca35199
hexd31b490c5344

232114143122244 has 36 divisors (see below), whose sum is σ = 586791245034540. Its totient is φ = 77363696802240.

The previous prime is 232114143122137. The next prime is 232114143122269. The reversal of 232114143122244 is 442221341411232.

232114143122244 is a `hidden beast` number, since 2 + 3 + 2 + 1 + 1 + 414 + 3 + 12 + 224 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 142488387922500 + 89625755199744 = 11936850^2 + 9467088^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 232114143122199 and 232114143122208.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 319809087 + ... + 320534054.

It is an arithmetic number, because the mean of its divisors is an integer number (16299756806515).

Almost surely, 2232114143122244 is an apocalyptic number.

It is an amenable number.

232114143122244 is an abundant number, since it is smaller than the sum of its proper divisors (354677101912296).

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

232114143122244 is a wasteful number, since it uses less digits than its factorization.

232114143122244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640353220 (or 640353215 counting only the distinct ones).

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

Adding to 232114143122244 its reverse (442221341411232), we get a palindrome (674335484533476).

The spelling of 232114143122244 in words is "two hundred thirty-two trillion, one hundred fourteen billion, one hundred forty-three million, one hundred twenty-two thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 10069 20138 30207 40276 60414 90621 120828 181242 362484 640343141 1280686282 1921029423 2561372564 3842058846 5763088269 7684117692 11526176538 23052353076 6447615086729 12895230173458 19342845260187 25790460346916 38685690520374 58028535780561 77371381040748 116057071561122 232114143122244