Search a number
-
+
424013130464 = 257117913915671
BaseRepresentation
bin1100010101110010010…
…01101110101011100000
31111112110012111210022012
412022321021232223200
523421334330133324
6522442224532052
742430304066510
oct6127111565340
91445405453265
10424013130464
111539063a3770
126a215181028
1330ca4584091
1416745459840
15b069b3020e
hex62b926eae0

424013130464 has 192 divisors, whose sum is σ = 1061583667200. Its totient is φ = 161925004800.

The previous prime is 424013130421. The next prime is 424013130473. The reversal of 424013130464 is 464031310424.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 424013130464.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27049349 + ... + 27065019.

It is an arithmetic number, because the mean of its divisors is an integer number (5529081600).

Almost surely, 2424013130464 is an apocalyptic number.

424013130464 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 424013130464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530791833600).

424013130464 is an abundant number, since it is smaller than the sum of its proper divisors (637570536736).

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

424013130464 is a wasteful number, since it uses less digits than its factorization.

424013130464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15917 (or 15909 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 424013130464 its reverse (464031310424), we get a palindrome (888044440888).

The spelling of 424013130464 in words is "four hundred twenty-four billion, thirteen million, one hundred thirty thousand, four hundred sixty-four".