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323362252434144 = 253711101701617857
BaseRepresentation
bin100100110000110001010010…
…0001100001010101011100000
31120101221010111100112201020010
41021201202210030022223200
5314340431343110343034
63103422322404444520
7125053103026611510
oct11141424414125340
91511833440481203
10323362252434144
119404018550a710
12303259300a9740
1310b57c113341a1
1459bcb6078b840
15275b5da9733e9
hex12618a430aae0

323362252434144 has 384 divisors, whose sum is σ = 1070280793580544. Its totient is φ = 83039846400000.

The previous prime is 323362252434079. The next prime is 323362252434203. The reversal of 323362252434144 is 441434252263323.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 323362252434093 and 323362252434102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 523052064 + ... + 523669920.

It is an arithmetic number, because the mean of its divisors is an integer number (2787189566616).

Almost surely, 2323362252434144 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 323362252434144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535140396790272).

323362252434144 is an abundant number, since it is smaller than the sum of its proper divisors (746918541146400).

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

323362252434144 is a wasteful number, since it uses less digits than its factorization.

323362252434144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618690 (or 618682 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 48.

The spelling of 323362252434144 in words is "three hundred twenty-three trillion, three hundred sixty-two billion, two hundred fifty-two million, four hundred thirty-four thousand, one hundred forty-four".