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14271383448 = 23327173153731
BaseRepresentation
bin11010100101010010…
…00000011110011000
31100211121010101200100
431102221000132120
5213211433232243
610320045135400
71013441520630
oct152251003630
940747111610
1014271383448
116063907683
12292355a560
1314658ca5ba
1499555b6c0
15587d8d0d3
hex352a40798

14271383448 has 192 divisors, whose sum is σ = 48281425920. Its totient is φ = 3713817600.

The previous prime is 14271383411. The next prime is 14271383461. The reversal of 14271383448 is 84438317241.

14271383448 is a `hidden beast` number, since 1 + 4 + 271 + 38 + 344 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 238743 + ... + 292473.

It is an arithmetic number, because the mean of its divisors is an integer number (251465760).

Almost surely, 214271383448 is an apocalyptic number.

14271383448 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 14271383448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24140712960).

14271383448 is an abundant number, since it is smaller than the sum of its proper divisors (34010042472).

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

14271383448 is a wasteful number, since it uses less digits than its factorization.

14271383448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53798 (or 53791 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

It can be divided in two parts, 1427138 and 3448, that added together give a triangular number (1430586 = T1691).

The spelling of 14271383448 in words is "fourteen billion, two hundred seventy-one million, three hundred eighty-three thousand, four hundred forty-eight".