Search a number
-
+
14316892259328 = 2103813116267
BaseRepresentation
bin1101000001010110100101…
…0001110000010000000000
31212200200101211121200000000
43100111221101300100000
53334031443404244303
650241031200000000
73005234636202411
oct320255121602000
955620354550000
1014316892259328
11461a83a49238a
121732862300000
137cb100652079
14376d26c45808
1519c6365a0da3
hexd0569470400

14316892259328 has 396 divisors, whose sum is σ = 43257873811152. Its totient is φ = 4735576535040.

The previous prime is 14316892259323. The next prime is 14316892259347. The reversal of 14316892259328 is 82395229861341.

14316892259328 is a `hidden beast` number, since 1 + 4 + 3 + 1 + 6 + 89 + 225 + 9 + 328 = 666.

It is not an unprimeable number, because it can be changed into a prime (14316892259323) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 880110651 + ... + 880126917.

Almost surely, 214316892259328 is an apocalyptic number.

14316892259328 is a gapful number since it is divisible by the number (18) 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 14316892259328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21628936905576).

14316892259328 is an abundant number, since it is smaller than the sum of its proper divisors (28940981551824).

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

14316892259328 is an frugal number, since it uses more digits than its factorization.

14316892259328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16442 (or 16403 counting only the distinct ones).

The product of its digits is 44789760, while the sum is 63.

The spelling of 14316892259328 in words is "fourteen trillion, three hundred sixteen billion, eight hundred ninety-two million, two hundred fifty-nine thousand, three hundred twenty-eight".