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14014414414 = 2711137699103
BaseRepresentation
bin11010000110101001…
…01111111001001110
31100011200121000102201
431003110233321032
5212200142230124
610234345312114
71004201362030
oct150324577116
940150530381
1014014414414
115a41853a80
12287149563a
1314245b7b10
1496d389c50
1557052e144
hex34352fe4e

14014414414 has 64 divisors (see below), whose sum is σ = 28264642560. Its totient is φ = 5033041920.

The previous prime is 14014414357. The next prime is 14014414433. The reversal of 14014414414 is 41441441041.

It is a happy number.

It is a super-2 number, since 2×140144144142 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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, 1534987 + ... + 1544089.

It is an arithmetic number, because the mean of its divisors is an integer number (441635040).

Almost surely, 214014414414 is an apocalyptic number.

14014414414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

14014414414 is an abundant number, since it is smaller than the sum of its proper divisors (14250228146).

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

14014414414 is a wasteful number, since it uses less digits than its factorization.

14014414414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9905.

The product of its (nonzero) digits is 4096, while the sum is 28.

Adding to 14014414414 its reverse (41441441041), we get a palindrome (55455855455).

The spelling of 14014414414 in words is "fourteen billion, fourteen million, four hundred fourteen thousand, four hundred fourteen".

Divisors: 1 2 7 11 13 14 22 26 77 91 143 154 182 286 769 1001 1538 2002 5383 8459 9103 9997 10766 16918 18206 19994 59213 63721 69979 100133 109967 118339 118426 127442 139958 200266 219934 236678 700931 769769 828373 1301729 1401862 1539538 1656746 2603458 7000207 9112103 14000414 18224206 49001449 77002277 91002691 98002898 154004554 182005382 539015939 637018837 1001029601 1078031878 1274037674 2002059202 7007207207 14014414414