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14428184292 = 22365219497
BaseRepresentation
bin11010110111111110…
…01001111011100100
31101020112011201000000
431123333021323210
5214022103344132
610343410021300
71020354354144
oct153377117344
941215151000
1014428184292
116134374455
122967b77830
13148c23ab72
149ac2d6924
15596a1287c
hex35bfc9ee4

14428184292 has 84 divisors (see below), whose sum is σ = 37933321356. Its totient is φ = 4799658240.

The previous prime is 14428184279. The next prime is 14428184317. The reversal of 14428184292 is 29248182441.

14428184292 is a `hidden beast` number, since 1 + 4 + 4 + 281 + 84 + 292 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2101855716 + 12326328576 = 45846^2 + 111024^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1514488 + ... + 1523984.

It is an arithmetic number, because the mean of its divisors is an integer number (451587159).

Almost surely, 214428184292 is an apocalyptic number.

14428184292 is a gapful number since it is divisible by the number (12) 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 14428184292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18966660678).

14428184292 is an abundant number, since it is smaller than the sum of its proper divisors (23505137064).

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

14428184292 is an equidigital number, since it uses as much as digits as its factorization.

14428184292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10040 (or 10023 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The spelling of 14428184292 in words is "fourteen billion, four hundred twenty-eight million, one hundred eighty-four thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 521 729 972 1042 1458 1563 2084 2916 3126 4689 6252 9378 9497 14067 18756 18994 28134 28491 37988 42201 56268 56982 84402 85473 113964 126603 168804 170946 253206 256419 341892 379809 506412 512838 759618 769257 1025676 1519236 1538514 2307771 3077028 4615542 4947937 6923313 9231084 9895874 13846626 14843811 19791748 27693252 29687622 44531433 59375244 89062866 133594299 178125732 267188598 400782897 534377196 801565794 1202348691 1603131588 2404697382 3607046073 4809394764 7214092146 14428184292