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14169499344 = 243372111331151
BaseRepresentation
bin11010011001001000…
…10110011011010000
31100120111102010222000
431030210112123100
5213004342434334
610302005314000
71011063520500
oct151444263320
940514363860
1014169499344
116011349640
1228b5405900
13144a777350
14985bd9a00
1557de65299
hex34c9166d0

14169499344 has 960 divisors, whose sum is σ = 57756303360. Its totient is φ = 3265920000.

The previous prime is 14169499321. The next prime is 14169499349. The reversal of 14169499344 is 44399496141.

14169499344 is a `hidden beast` number, since 141 + 6 + 9 + 499 + 3 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 (14169499349) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 93837669 + ... + 93837819.

It is an arithmetic number, because the mean of its divisors is an integer number (60162816).

Almost surely, 214169499344 is an apocalyptic number.

14169499344 is a gapful number since it is divisible by the number (14) 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 14169499344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28878151680).

14169499344 is an abundant number, since it is smaller than the sum of its proper divisors (43586804016).

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

14169499344 is a wasteful number, since it uses less digits than its factorization.

14169499344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 218 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 54.

The spelling of 14169499344 in words is "fourteen billion, one hundred sixty-nine million, four hundred ninety-nine thousand, three hundred forty-four".