Search a number
-
+
423222141222324 = 22323137732101137139
BaseRepresentation
bin110000000111010110001010…
…1011000110111110110110100
32001111111122022200220012211100
41200032230111120313312310
5420433032421123103244
64100041322334010100
7155100535124315043
oct14016542530676664
92044448280805740
10423222141222324
11112940558383654
123b573352946930
131521c8a484a322
1476720bd2a255a
1533ddea48a4b69
hex180eb15637db4

423222141222324 has 864 divisors, whose sum is σ = 1178195144555520. Its totient is φ = 127843411968000.

The previous prime is 423222141222319. The next prime is 423222141222341.

It is a happy number.

423222141222324 is a `hidden beast` number, since 4 + 2 + 3 + 2 + 2 + 2 + 1 + 412 + 2 + 232 + 4 = 666.

423222141222324 is nontrivially palindromic in base 10.

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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3044763605847 + ... + 3044763605985.

It is an arithmetic number, because the mean of its divisors is an integer number (1363651787680).

Almost surely, 2423222141222324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 423222141222324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589097572277760).

423222141222324 is an abundant number, since it is smaller than the sum of its proper divisors (754973003333196).

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

423222141222324 is a wasteful number, since it uses less digits than its factorization.

423222141222324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601 (or 523 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

The spelling of 423222141222324 in words is "four hundred twenty-three trillion, two hundred twenty-two billion, one hundred forty-one million, two hundred twenty-two thousand, three hundred twenty-four".