Search a number
-
+
123331642344 = 23321712939477
BaseRepresentation
bin111001011011100100…
…0111000001111101000
3102210100012020120121100
41302313020320033220
54010040400023334
6132354025041400
711624162443251
oct1626710701750
9383305216540
10123331642344
1148339551349
121ba9b626260
13b8264c8081
145d7d9dbb28
15331c708c99
hex1cb72383e8

123331642344 has 24 divisors (see below), whose sum is σ = 334023198210. Its totient is φ = 41110547424.

The previous prime is 123331642339. The next prime is 123331642361. The reversal of 123331642344 is 443246133321.

It is a happy number.

123331642344 is a `hidden beast` number, since 1 + 2 + 3 + 3 + 3 + 1 + 642 + 3 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 123314750244 + 16892100 = 351162^2 + 4110^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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 = 123331642299 and 123331642308.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 856469667 + ... + 856469810.

Almost surely, 2123331642344 is an apocalyptic number.

It is an amenable number.

123331642344 is an abundant number, since it is smaller than the sum of its proper divisors (210691555866).

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

123331642344 is a wasteful number, since it uses less digits than its factorization.

123331642344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1712939489 (or 1712939482 counting only the distinct ones).

The product of its digits is 124416, while the sum is 36.

Adding to 123331642344 its reverse (443246133321), we get a palindrome (566577775665).

The spelling of 123331642344 in words is "one hundred twenty-three billion, three hundred thirty-one million, six hundred forty-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1712939477 3425878954 5138818431 6851757908 10277636862 13703515816 15416455293 20555273724 30832910586 41110547448 61665821172 123331642344