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14169109248 = 283371915413
BaseRepresentation
bin11010011001000101…
…10111001100000000
31100120110200022212000
431030202313030000
5213004242443443
610301553104000
71011060304260
oct151442671400
940513608760
1014169109248
116011102548
1228b5258000
13144a66b918
14985b377a0
1557ddd98d3
hex34c8b7300

14169109248 has 288 divisors, whose sum is σ = 50409945600. Its totient is φ = 3834998784.

The previous prime is 14169109243. The next prime is 14169109277. The reversal of 14169109248 is 84290196141.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (14169109243) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 911590 + ... + 927002.

Almost surely, 214169109248 is an apocalyptic number.

14169109248 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 14169109248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25204972800).

14169109248 is an abundant number, since it is smaller than the sum of its proper divisors (36240836352).

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

14169109248 is a wasteful number, since it uses less digits than its factorization.

14169109248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15464 (or 15444 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 14169109248 in words is "fourteen billion, one hundred sixty-nine million, one hundred nine thousand, two hundred forty-eight".