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14140404012 = 22371279131617
BaseRepresentation
bin11010010101101010…
…10111000100101100
31100111110122221200010
431022311113010230
5212424420412022
610255045533220
71010261310450
oct151265270454
940443587603
1014140404012
115aa6986909
1228a7714210
13144472b087
14981dc4660
1557b61950c
hex34ad5712c

14140404012 has 48 divisors (see below), whose sum is σ = 37737512960. Its totient is φ = 4036925952.

The previous prime is 14140404001. The next prime is 14140404013. The reversal of 14140404012 is 21040404141.

14140404012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×141404040122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 14140404012.

It is not an unprimeable number, because it can be changed into a prime (14140404013) 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 15 ways as a sum of consecutive naturals, for example, 41628 + ... + 173244.

Almost surely, 214140404012 is an apocalyptic number.

14140404012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14140404012 is an abundant number, since it is smaller than the sum of its proper divisors (23597108948).

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

14140404012 is a wasteful number, since it uses less digits than its factorization.

14140404012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132910 (or 132908 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 14140404012 its reverse (21040404141), we get a palindrome (35180808153).

The spelling of 14140404012 in words is "fourteen billion, one hundred forty million, four hundred four thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 1279 2558 3837 5116 7674 8953 15348 17906 26859 35812 53718 107436 131617 263234 394851 526468 789702 921319 1579404 1842638 2763957 3685276 5527914 11055828 168338143 336676286 505014429 673352572 1010028858 1178367001 2020057716 2356734002 3535101003 4713468004 7070202006 14140404012