Search a number
-
+
14013013104 = 2432101963491
BaseRepresentation
bin11010000110011110…
…11001110001110000
31100011120221211012100
431003033121301300
5212144312404404
610234255300400
71004153434416
oct150317316160
940146854170
1014013013104
115a40a87172
122870b1a700
13142421703c
1496d1032b6
15570353d39
hex3433d9c70

14013013104 has 60 divisors (see below), whose sum is σ = 39605302152. Its totient is φ = 4624752000.

The previous prime is 14013013093. The next prime is 14013013109. The reversal of 14013013104 is 40131031041.

14013013104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14013013109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 467202 + ... + 496289.

Almost surely, 214013013104 is an apocalyptic number.

It is an amenable number.

14013013104 is an abundant number, since it is smaller than the sum of its proper divisors (25592289048).

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

14013013104 is a wasteful number, since it uses less digits than its factorization.

14013013104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 963606 (or 963597 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 14013013104 its reverse (40131031041), we get a palindrome (54144044145).

The spelling of 14013013104 in words is "fourteen billion, thirteen million, thirteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 101 144 202 303 404 606 808 909 1212 1616 1818 2424 3636 4848 7272 14544 963491 1926982 2890473 3853964 5780946 7707928 8671419 11561892 15415856 17342838 23123784 34685676 46247568 69371352 97312591 138742704 194625182 291937773 389250364 583875546 778500728 875813319 1167751092 1557001456 1751626638 2335502184 3503253276 4671004368 7006506552 14013013104