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424244031120 = 24325713137151313
BaseRepresentation
bin1100010110001101110…
…10100010111010010000
31111120001021222202110100
412023012322202322100
523422322432443440
6522521153532400
742436106523330
oct6130672427220
91446037882410
10424244031120
11153a14771858
126a27a574100
133101036a2a0
1416767da30c0
15b080040230
hex62c6ea2e90

424244031120 has 960 divisors, whose sum is σ = 1783719834624. Its totient is φ = 87986995200.

The previous prime is 424244031083. The next prime is 424244031187. The reversal of 424244031120 is 21130442424.

424244031120 is a `hidden beast` number, since 4 + 242 + 4 + 403 + 1 + 12 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1355412084 + ... + 1355412396.

Almost surely, 2424244031120 is an apocalyptic number.

424244031120 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 424244031120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (891859917312).

424244031120 is an abundant number, since it is smaller than the sum of its proper divisors (1359475803504).

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

424244031120 is a wasteful number, since it uses less digits than its factorization.

424244031120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 424244031120 its reverse (21130442424), we get a palindrome (445374473544).

The spelling of 424244031120 in words is "four hundred twenty-four billion, two hundred forty-four million, thirty-one thousand, one hundred twenty".