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14454450504 = 23321315442789
BaseRepresentation
bin11010111011000110…
…10110100101001000
31101022100121011110200
431131203112211020
5214100314404004
610350145012200
71021123542054
oct153543264510
941270534420
1014454450504
11614818466a
122974924060
1314948064c0
149b19b2c64
15598ea0239
hex35d8d6948

14454450504 has 48 divisors (see below), whose sum is σ = 42158816700. Its totient is φ = 4447522944.

The previous prime is 14454450457. The next prime is 14454450511. The reversal of 14454450504 is 40505445441.

14454450504 is a `hidden beast` number, since 14 + 4 + 544 + 50 + 50 + 4 = 666.

14454450504 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 2 ways, for example, as 10181213604 + 4273236900 = 100902^2 + 65370^2 .

It is a super-2 number, since 2×144544505042 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 7720459 + ... + 7722330.

Almost surely, 214454450504 is an apocalyptic number.

It is an amenable number.

14454450504 is an abundant number, since it is smaller than the sum of its proper divisors (27704366196).

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

14454450504 is a wasteful number, since it uses less digits than its factorization.

14454450504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15442814 (or 15442807 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 36.

Adding to 14454450504 its reverse (40505445441), we get a palindrome (54959895945).

The spelling of 14454450504 in words is "fourteen billion, four hundred fifty-four million, four hundred fifty thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 15442789 30885578 46328367 61771156 92656734 123542312 138985101 185313468 200756257 277970202 370626936 401512514 555940404 602268771 803025028 1111880808 1204537542 1606050056 1806806313 2409075084 3613612626 4818150168 7227225252 14454450504