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1424514240 = 26325601823
BaseRepresentation
bin101010011101000…
…0101110011000000
310200021110211011200
41110322011303000
510404133423430
6353204141200
750205112512
oct12472056300
93607424150
101424514240
116711126a6
12339097800
13199182846
14d7293bb2
15850d8460
hex54e85cc0

1424514240 has 168 divisors, whose sum is σ = 4913851488. Its totient is φ = 378777600.

The previous prime is 1424514239. The next prime is 1424514253. The reversal of 1424514240 is 424154241.

1424514240 is a `hidden beast` number, since 142 + 4 + 514 + 2 + 4 + 0 = 666.

It is a super-3 number, since 3×14245142403 (a number of 28 digits) contains 333 as substring.

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 23 ways as a sum of consecutive naturals, for example, 1730469 + ... + 1731291.

It is an arithmetic number, because the mean of its divisors is an integer number (29249116).

Almost surely, 21424514240 is an apocalyptic number.

1424514240 is a gapful number since it is divisible by the number (10) 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 1424514240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2456925744).

1424514240 is an abundant number, since it is smaller than the sum of its proper divisors (3489337248).

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

1424514240 is a wasteful number, since it uses less digits than its factorization.

1424514240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1447 (or 1434 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 1424514240 is about 37742.7375795662. The cubic root of 1424514240 is about 1125.1806761669.

Adding to 1424514240 its reverse (424154241), we get a palindrome (1848668481).

The spelling of 1424514240 in words is "one billion, four hundred twenty-four million, five hundred fourteen thousand, two hundred forty".