Search a number
-
+
423302242203324 = 22321122321291984537
BaseRepresentation
bin110000000111111011011101…
…1110001110111011010111100
32001111210022002002000122201100
41200033312323301313122330
5420440340443001001244
64100142210540013100
7155106402113365641
oct14017667361673274
92044708062018640
10423302242203324
11112971522291200
123b586988531190
13152272cb87a2c3
147675d1b605dc8
1533e10e1b6db69
hex180fdbbc776bc

423302242203324 has 216 divisors, whose sum is σ = 1227844297723680. Its totient is φ = 122638609336320.

The previous prime is 423302242203311. The next prime is 423302242203341.

423302242203324 is a `hidden beast` number, since 4 + 2 + 3 + 302 + 2 + 4 + 2 + 20 + 3 + 324 = 666.

423302242203324 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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 212307984 + ... + 214292520.

Almost surely, 2423302242203324 is an apocalyptic number.

423302242203324 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 423302242203324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613922148861840).

423302242203324 is an abundant number, since it is smaller than the sum of its proper divisors (804542055520356).

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

423302242203324 is a wasteful number, since it uses less digits than its factorization.

423302242203324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1986721 (or 1986705 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 36.

The spelling of 423302242203324 in words is "four hundred twenty-three trillion, three hundred two billion, two hundred forty-two million, two hundred three thousand, three hundred twenty-four".