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14241483272448 = 283317231229981
BaseRepresentation
bin1100111100111101101010…
…0011010011000100000000
31212102110202110022020001000
43033033122203103010000
53331313024204204243
650142240323412000
72666625142323615
oct317173243230400
955373673266030
1014241483272448
1145a086303a423
121720117b24000
137c3c7370bb83
14373411b0850c
1519a6c119c5d3
hexcf3da8d3100

14241483272448 has 432 divisors, whose sum is σ = 46180974353920. Its totient is φ = 4323771187200.

The previous prime is 14241483272381. The next prime is 14241483272491. The reversal of 14241483272448 is 84427238414241.

It is a happy number.

14241483272448 is a `hidden beast` number, since 1 + 4 + 24 + 148 + 32 + 7 + 2 + 448 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a junction number, because it is equal to n+sod(n) for n = 14241483272394 and 14241483272403.

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, 61809618 + ... + 62039598.

Almost surely, 214241483272448 is an apocalyptic number.

14241483272448 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 14241483272448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23090487176960).

14241483272448 is an abundant number, since it is smaller than the sum of its proper divisors (31939491081472).

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

14241483272448 is a wasteful number, since it uses less digits than its factorization.

14241483272448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230071 (or 230034 counting only the distinct ones).

The product of its digits is 11010048, while the sum is 54.

The spelling of 14241483272448 in words is "fourteen trillion, two hundred forty-one billion, four hundred eighty-three million, two hundred seventy-two thousand, four hundred forty-eight".