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14224855824 = 243433132
BaseRepresentation
bin11010011111101111…
…00001001100010000
31100201100120112210000
431033313201030100
5213113030341244
610311304010000
71012335164604
oct151767411420
940640515700
1014224855824
11603a6187a3
12290ba60900
13145908986a
1498d2c9504
15583c4c169
hex34fde1310

14224855824 has 75 divisors (see below), whose sum is σ = 41183290533. Its totient is φ = 4740187392.

The previous prime is 14224855811. The next prime is 14224855861. The reversal of 14224855824 is 42855842241.

It is a happy number.

The square root of 14224855824 is 119268.

It is a perfect power (a square), and thus also a powerful number.

14224855824 is a `hidden beast` number, since 1 + 4 + 22 + 48 + 5 + 582 + 4 = 666.

14224855824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 13146915600 + 1077940224 = 114660^2 + 32832^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 14224855824.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 4291992 + ... + 4295304.

Almost surely, 214224855824 is an apocalyptic number.

14224855824 is the 119268-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14224855824

14224855824 is an abundant number, since it is smaller than the sum of its proper divisors (26958434709).

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

14224855824 is an frugal number, since it uses more digits than its factorization.

14224855824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6646 (or 3318 counting only the distinct ones).

The product of its digits is 819200, while the sum is 45.

The spelling of 14224855824 in words is "fourteen billion, two hundred twenty-four million, eight hundred fifty-five thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 3313 6626 9939 13252 19878 26504 29817 39756 53008 59634 79512 89451 119268 159024 178902 238536 268353 357804 477072 536706 715608 1073412 1431216 2146824 4293648 10975969 21951938 32927907 43903876 65855814 87807752 98783721 131711628 175615504 197567442 263423256 296351163 395134884 526846512 592702326 790269768 889053489 1185404652 1580539536 1778106978 2370809304 3556213956 4741618608 7112427912 14224855824