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1424231424 = 21034711223
BaseRepresentation
bin101010011100100…
…0000110000000000
310200020221110020000
41110321000300000
510404100401144
6353154120000
750202524130
oct12471006000
93606843200
101424231424
11670a3a170
12338b80000
131990b3bb5
14d721cac0
158507e769
hex54e40c00

1424231424 has 440 divisors, whose sum is σ = 5326261248. Its totient is φ = 368271360.

The previous prime is 1424231411. The next prime is 1424231429. The reversal of 1424231424 is 4241324241.

1424231424 is a `hidden beast` number, since 1 + 4 + 2 + 4 + 231 + 424 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1424231429) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6386577 + ... + 6386799.

Almost surely, 21424231424 is an apocalyptic number.

1424231424 is a gapful number since it is divisible by the number (14) 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 1424231424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2663130624).

1424231424 is an abundant number, since it is smaller than the sum of its proper divisors (3902029824).

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

1424231424 is a wasteful number, since it uses less digits than its factorization.

1424231424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 246 counting only the distinct ones).

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

The square root of 1424231424 is about 37738.9907655199. The cubic root of 1424231424 is about 1125.1062086394.

Adding to 1424231424 its reverse (4241324241), we get a palindrome (5665555665).

The spelling of 1424231424 in words is "one billion, four hundred twenty-four million, two hundred thirty-one thousand, four hundred twenty-four".