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422013420432 = 243223713594999
BaseRepresentation
bin1100010010000011111…
…01011100001110010000
31111100021211200222211200
412021001331130032100
523403240413423212
6521511552111200
742326612613222
oct6110175341620
91440254628750
10422013420432
11152a7a634a4a
1269957535500
1330a461ab9c6
14165d5a38412
15ae9e2c86dc
hex6241f5c390

422013420432 has 240 divisors, whose sum is σ = 1253491200000. Its totient is φ = 132263873280.

The previous prime is 422013420391. The next prime is 422013420457. The reversal of 422013420432 is 234024310224.

422013420432 is a `hidden beast` number, since 4 + 2 + 201 + 3 + 4 + 20 + 432 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 422013420396 and 422013420405.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84417069 + ... + 84422067.

It is an arithmetic number, because the mean of its divisors is an integer number (5222880000).

Almost surely, 2422013420432 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 422013420432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626745600000).

422013420432 is an abundant number, since it is smaller than the sum of its proper divisors (831477779568).

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

422013420432 is a wasteful number, since it uses less digits than its factorization.

422013420432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5466 (or 5457 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 422013420432 its reverse (234024310224), we get a palindrome (656037730656).

The spelling of 422013420432 in words is "four hundred twenty-two billion, thirteen million, four hundred twenty thousand, four hundred thirty-two".