Search a number
-
+
422339423616 = 273211233313457
BaseRepresentation
bin1100010010101010110…
…01000010110110000000
31111101010120010200010200
412021111121002312000
523404422343023431
6522004155325200
742340651603635
oct6112531026600
91441116120120
10422339423616
11153127659a70
1269a28750800
1330a988b24b6
141662705a18c
15aebcc21ee6
hex6255642d80

422339423616 has 384 divisors, whose sum is σ = 1338676878240. Its totient is φ = 126747279360.

The previous prime is 422339423609. The next prime is 422339423633. The reversal of 422339423616 is 616324933224.

422339423616 is a `hidden beast` number, since 4 + 2 + 2 + 3 + 3 + 9 + 4 + 23 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 924156060 + ... + 924156516.

Almost surely, 2422339423616 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 422339423616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669338439120).

422339423616 is an abundant number, since it is smaller than the sum of its proper divisors (916337454624).

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

422339423616 is a wasteful number, since it uses less digits than its factorization.

422339423616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1034 (or 1019 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 45.

The spelling of 422339423616 in words is "four hundred twenty-two billion, three hundred thirty-nine million, four hundred twenty-three thousand, six hundred sixteen".