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14232118412304 = 243613226872
BaseRepresentation
bin1100111100011010110001…
…0111001100010000010000
31212101120120210200001000000
43033012230113030100100
53331134334303143204
650134051150130000
72666144106324432
oct317065427142020
955346523601000
1014232118412304
1145978978a4391
12171a3437b0900
137c31104a1900
14372ba4078652
1519a323e4e039
hexcf1ac5cc410

14232118412304 has 315 divisors, whose sum is σ = 44784727544973. Its totient is φ = 4377483616896.

The previous prime is 14232118412299. The next prime is 14232118412341. The reversal of 14232118412304 is 40321481123241.

The square root of 14232118412304 is 3772548.

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

14232118412304 is a `hidden beast` number, since 1 + 4 + 2 + 321 + 18 + 4 + 12 + 304 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2105342960400 + 12126775451904 = 1450980^2 + 3482352^2 .

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 (19) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 5296656049 + ... + 5296658735.

Almost surely, 214232118412304 is an apocalyptic number.

14232118412304 is the 3772548-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14232118412304

14232118412304 is an abundant number, since it is smaller than the sum of its proper divisors (30552609132669).

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

14232118412304 is an frugal number, since it uses more digits than its factorization.

14232118412304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5426 (or 2705 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

Multiplying 14232118412304 by its sum of digits (36), we get a square (512356262842944 = 226352882).

14232118412304 divided by its sum of digits (36) gives a square (395336622564 = 6287582).

Adding to 14232118412304 its reverse (40321481123241), we get a palindrome (54553599535545).

The spelling of 14232118412304 in words is "fourteen trillion, two hundred thirty-two billion, one hundred eighteen million, four hundred twelve thousand, three hundred four".