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424055010240 = 26345291633461
BaseRepresentation
bin1100010101110111010…
…01011111001111000000
31111112120010022111120000
412022323221133033000
523421431040311430
6522450322320000
742431323054131
oct6127351371700
91445503274500
10424055010240
11153927aa8654
126a2271b9000
1330cb0158404
141674ac3bc88
15b06d653e60
hex62bba5f3c0

424055010240 has 560 divisors, whose sum is σ = 1570480354080. Its totient is φ = 108480798720.

The previous prime is 424055010217. The next prime is 424055010241. The reversal of 424055010240 is 42010550424.

424055010240 is a `hidden beast` number, since 4 + 2 + 4 + 0 + 550 + 102 + 4 + 0 = 666.

It is a super-3 number, since 3×4240550102403 (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424055010241) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 122522110 + ... + 122525570.

Almost surely, 2424055010240 is an apocalyptic number.

424055010240 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 424055010240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785240177040).

424055010240 is an abundant number, since it is smaller than the sum of its proper divisors (1146425343840).

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

424055010240 is a wasteful number, since it uses less digits than its factorization.

424055010240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3682 (or 3663 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

Adding to 424055010240 its reverse (42010550424), we get a palindrome (466065560664).

The spelling of 424055010240 in words is "four hundred twenty-four billion, fifty-five million, ten thousand, two hundred forty".