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14103440004 = 22319592514177
BaseRepresentation
bin11010010001010000…
…10110101010000100
31100101220002222120210
431020220112222010
5212340440040004
610251245355420
71006332155613
oct151050265204
940356088523
1014103440004
115a8802a245
122897268b70
131439b88394
1497b12187a
15578267089
hex348a16a84

14103440004 has 96 divisors (see below), whose sum is σ = 35375961600. Its totient is φ = 4359744000.

The previous prime is 14103439969. The next prime is 14103440017. The reversal of 14103440004 is 40004430141.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3374364 + ... + 3378540.

It is an arithmetic number, because the mean of its divisors is an integer number (368499600).

Almost surely, 214103440004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14103440004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17687980800).

14103440004 is an abundant number, since it is smaller than the sum of its proper divisors (21272521596).

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

14103440004 is a wasteful number, since it uses less digits than its factorization.

14103440004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4513 (or 4511 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 14103440004 its reverse (40004430141), we get a palindrome (54107870145).

The spelling of 14103440004 in words is "fourteen billion, one hundred three million, four hundred forty thousand, four".

Divisors: 1 2 3 4 6 12 19 38 57 59 76 114 118 177 228 236 251 354 502 708 753 1004 1121 1506 2242 3012 3363 4177 4484 4769 6726 8354 9538 12531 13452 14307 14809 16708 19076 25062 28614 29618 44427 50124 57228 59236 79363 88854 158726 177708 238089 246443 281371 317452 476178 492886 562742 739329 844113 952356 985772 1048427 1125484 1478658 1688226 2096854 2957316 3145281 3376452 4193708 4682417 6290562 9364834 12581124 14047251 18729668 19920113 28094502 39840226 56189004 59760339 61857193 79680452 119520678 123714386 185571579 239041356 247428772 371143158 742286316 1175286667 2350573334 3525860001 4701146668 7051720002 14103440004