Search a number
-
+
422341000000 = 26564110301
BaseRepresentation
bin1100010010101010111…
…11000011101101000000
31111101010200002202112021
412021111133003231000
523404423244000000
6522004253211224
742341001160543
oct6112537035500
91441120082467
10422341000000
11153128536367
1269a29190b14
1330a99014b7a
141662734a85a
15aebce3411a
hex62557c3b40

422341000000 has 196 divisors, whose sum is σ = 1073245402908. Its totient is φ = 164800000000.

The previous prime is 422340999991. The next prime is 422341000141. The reversal of 422341000000 is 143224.

It can be written as a sum of positive squares in 14 ways, for example, as 354082122304 + 68258877696 = 595048^2 + 261264^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 40994850 + ... + 41005150.

Almost surely, 2422341000000 is an apocalyptic number.

422341000000 is a gapful number since it is divisible by the number (40) 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 422341000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536622701454).

422341000000 is an abundant number, since it is smaller than the sum of its proper divisors (650904402908).

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

422341000000 is an frugal number, since it uses more digits than its factorization.

422341000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10384 (or 10349 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 422341000000 its reverse (143224), we get a palindrome (422341143224).

The spelling of 422341000000 in words is "four hundred twenty-two billion, three hundred forty-one million", and thus it is an aban number.