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1424082803904 = 26342313787181
BaseRepresentation
bin10100101110010001111…
…100110001110011000000
312001010210210000222210000
4110232101330301303000
5141313010144211104
63010114204440000
7204613046052225
oct24562174616300
95033723028700
101424082803904
114a9a4a687312
121abbb6549000
13a43a11058b7
144ccd6c3b94c
152709c55a639
hex14b91f31cc0

1424082803904 has 280 divisors, whose sum is σ = 4437171829728. Its totient is φ = 450735943680.

The previous prime is 1424082803903. The next prime is 1424082803993. The reversal of 1424082803904 is 4093082804241.

1424082803904 is a `hidden beast` number, since 14 + 240 + 8 + 2 + 8 + 0 + 390 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1424082803904.

It is not an unprimeable number, because it can be changed into a prime (1424082803903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 16291194 + ... + 16378374.

Almost surely, 21424082803904 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 1424082803904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2218585914864).

1424082803904 is an abundant number, since it is smaller than the sum of its proper divisors (3013089025824).

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

1424082803904 is a wasteful number, since it uses less digits than its factorization.

1424082803904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87365 (or 87346 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 1424082803904 in words is "one trillion, four hundred twenty-four billion, eighty-two million, eight hundred three thousand, nine hundred four".