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424424040000 = 2635417375623
BaseRepresentation
bin1100010110100011010…
…01001110011001000000
31111120111211201011012220
412023101221032121000
523423210023240000
6522551104051040
742443423546502
oct6132151163100
91446454634186
10424424040000
11153aa7340124
126a30a903a80
133103b74520c
1416783c5dd72
15b090c4b1a0
hex62d1a4e640

424424040000 has 560 divisors, whose sum is σ = 1526216554368. Its totient is φ = 103624704000.

The previous prime is 424424039863. The next prime is 424424040031. The reversal of 424424040000 is 40424424.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 75477189 + ... + 75482811.

Almost surely, 2424424040000 is an apocalyptic number.

424424040000 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 424424040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763108277184).

424424040000 is an abundant number, since it is smaller than the sum of its proper divisors (1101792514368).

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

424424040000 is a wasteful number, since it uses less digits than its factorization.

424424040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5712 (or 5687 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 424424040000 its reverse (40424424), we get a palindrome (424464464424).

It can be divided in two parts, 424 and 424040000, that added together give a palindrome (424040424).

The spelling of 424424040000 in words is "four hundred twenty-four billion, four hundred twenty-four million, forty thousand".