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14123225504 = 252946133013
BaseRepresentation
bin11010010011100111…
…10101000110100000
31100110021100012012002
431021303311012200
5212411021204004
610253233423132
71006662302363
oct151163650640
940407305162
1014123225504
115a982133a3
1228a1a0aaa8
131440cc4c8b
1497d9d20da
15579d7461e
hex349cf51a0

14123225504 has 48 divisors (see below), whose sum is σ = 28827164520. Its totient is φ = 6803112960.

The previous prime is 14123225491. The next prime is 14123225527. The reversal of 14123225504 is 40552232141.

It can be written as a sum of positive squares in 4 ways, for example, as 8960515600 + 5162709904 = 94660^2 + 71852^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 411302 + ... + 444314.

Almost surely, 214123225504 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 14123225504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14413582260).

14123225504 is an abundant number, since it is smaller than the sum of its proper divisors (14703939016).

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

14123225504 is a wasteful number, since it uses less digits than its factorization.

14123225504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33513 (or 33505 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

Adding to 14123225504 its reverse (40552232141), we get a palindrome (54675457645).

The spelling of 14123225504 in words is "fourteen billion, one hundred twenty-three million, two hundred twenty-five thousand, five hundred four".

Divisors: 1 2 4 8 16 29 32 58 116 232 461 464 922 928 1844 3688 7376 13369 14752 26738 33013 53476 66026 106952 132052 213904 264104 427808 528208 957377 1056416 1914754 3829508 7659016 15218993 15318032 30437986 30636064 60875972 121751944 243503888 441350797 487007776 882701594 1765403188 3530806376 7061612752 14123225504