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1424193024 = 2934321563
BaseRepresentation
bin101010011100011…
…0111011000000000
310200020212111112210
41110320313120000
510404043134044
6353153222120
750202304152
oct12470673000
93606774483
101424193024
11670a13331
12338b61940
1319909c587
14d720cad2
15850731b9
hex54e37600

1424193024 has 80 divisors (see below), whose sum is σ = 3882555072. Its totient is φ = 463669248.

The previous prime is 1424192983. The next prime is 1424193031. The reversal of 1424193024 is 4203914241.

It is a super-2 number, since 2×14241930242 = 4056651539220529152, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1424192982 and 1424193000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55267 + ... + 76829.

Almost surely, 21424193024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1424193024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1941277536).

1424193024 is an abundant number, since it is smaller than the sum of its proper divisors (2458362048).

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

1424193024 is an equidigital number, since it uses as much as digits as its factorization.

1424193024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21627 (or 21611 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 1424193024 is about 37738.4820044474. The cubic root of 1424193024 is about 1125.0960968776.

The spelling of 1424193024 in words is "one billion, four hundred twenty-four million, one hundred ninety-three thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 128 129 172 192 256 258 344 384 512 516 688 768 1032 1376 1536 2064 2752 4128 5504 8256 11008 16512 21563 22016 33024 43126 64689 66048 86252 129378 172504 258756 345008 517512 690016 927209 1035024 1380032 1854418 2070048 2760064 2781627 3708836 4140096 5520128 5563254 7417672 8280192 11040256 11126508 14835344 16560384 22253016 29670688 33120768 44506032 59341376 89012064 118682752 178024128 237365504 356048256 474731008 712096512 1424193024