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14440140000 = 2533541121317
BaseRepresentation
bin11010111001011001…
…10000110011100000
31101021100200010011000
431130230300303200
5214033133440000
610344514152000
71020561110346
oct153454606340
941240603130
1014440140000
11614009aa00
12296bb82600
131491865950
149adb29996
15597ac5000
hex35cb30ce0

14440140000 has 1440 divisors, whose sum is σ = 65963509920. Its totient is φ = 3041280000.

The previous prime is 14440139971. The next prime is 14440140019. The reversal of 14440140000 is 4104441.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 849419992 + ... + 849420008.

It is an arithmetic number, because the mean of its divisors is an integer number (45807993).

Almost surely, 214440140000 is an apocalyptic number.

14440140000 is a gapful number since it is divisible by the number (10) 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 14440140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32981754960).

14440140000 is an abundant number, since it is smaller than the sum of its proper divisors (51523369920).

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

14440140000 is a wasteful number, since it uses less digits than its factorization.

14440140000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 14440140000 its reverse (4104441), we get a palindrome (14444244441).

The spelling of 14440140000 in words is "fourteen billion, four hundred forty million, one hundred forty thousand".