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14498214912 = 210323121637
BaseRepresentation
bin11011000000010100…
…10011010000000000
31101102101221121221200
431200022103100000
5214143020334122
610354351021200
71022164536066
oct154012232000
941371847850
1014498214912
11616a9564a5
12298750a800
1314a08ba5bc
149b7726036
1559cc475ac
hex360293400

14498214912 has 198 divisors, whose sum is σ = 43283696274. Its totient is φ = 4673986560.

The previous prime is 14498214911. The next prime is 14498214923. The reversal of 14498214912 is 21941289441.

14498214912 is a `hidden beast` number, since 1 + 4 + 498 + 2 + 149 + 12 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8511169536 + 5987045376 = 92256^2 + 77376^2 .

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14498214911) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 8855758 + ... + 8857394.

Almost surely, 214498214912 is an apocalyptic number.

14498214912 is a gapful number since it is divisible by the number (12) 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 14498214912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21641848137).

14498214912 is an abundant number, since it is smaller than the sum of its proper divisors (28785481362).

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

14498214912 is a wasteful number, since it uses less digits than its factorization.

14498214912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1725 (or 1673 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The spelling of 14498214912 in words is "fourteen billion, four hundred ninety-eight million, two hundred fourteen thousand, nine hundred twelve".