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14341339840 = 2651929163499
BaseRepresentation
bin11010101101100111…
…10111101011000000
31101000110202112210211
431112303313223000
5213332340333330
610331024403504
71015251243262
oct152663675300
941013675724
1014341339840
11609a348983
122942a76594
131477252309
149a096bb32
1558e0aad2a
hex356cf7ac0

14341339840 has 224 divisors, whose sum is σ = 37490400000. Its totient is φ = 5204570112.

The previous prime is 14341339819. The next prime is 14341339853. The reversal of 14341339840 is 4893314341.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 14341339793 and 14341339802.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28739911 + ... + 28740409.

Almost surely, 214341339840 is an apocalyptic number.

14341339840 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 14341339840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18745200000).

14341339840 is an abundant number, since it is smaller than the sum of its proper divisors (23149060160).

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

14341339840 is a wasteful number, since it uses less digits than its factorization.

14341339840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 40.

The spelling of 14341339840 in words is "fourteen billion, three hundred forty-one million, three hundred thirty-nine thousand, eight hundred forty".