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14014340102004 = 223113672287126493
BaseRepresentation
bin1100101111101111011111…
…0000110111011101110100
31211121202110110100121120120
43023323313300313131310
53314102332031231004
645450033213131540
72644334261250114
oct313736760673564
954552413317516
1014014340102004
1145134a26a8560
1216a40a6189bb0
137a8714b619c8
14366424b97044
15194829d123d9
hexcbef7c37774

14014340102004 has 96 divisors (see below), whose sum is σ = 35785990496256. Its totient is φ = 4233312823680.

The previous prime is 14014340101997. The next prime is 14014340102041. The reversal of 14014340102004 is 40020104341041.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110728182 + ... + 110854674.

It is an arithmetic number, because the mean of its divisors is an integer number (372770734336).

Almost surely, 214014340102004 is an apocalyptic number.

It is an amenable number.

14014340102004 is an abundant number, since it is smaller than the sum of its proper divisors (21771650394252).

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

14014340102004 is a wasteful number, since it uses less digits than its factorization.

14014340102004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129165 (or 129163 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 14014340102004 its reverse (40020104341041), we get a palindrome (54034444443045).

The spelling of 14014340102004 in words is "fourteen trillion, fourteen billion, three hundred forty million, one hundred two thousand, four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 367 734 1101 1468 2202 2287 4037 4404 4574 6861 8074 9148 12111 13722 16148 24222 25157 27444 48444 50314 75471 100628 126493 150942 252986 301884 379479 505972 758958 839329 1391423 1517916 1678658 2517987 2782846 3357316 4174269 5035974 5565692 8348538 9232619 10071948 16697076 18465238 27697857 36930476 46422931 55395714 92845862 110791428 139268793 185691724 278537586 289289491 510652241 557075172 578578982 867868473 1021304482 1157157964 1531956723 1735736946 2042608964 3063913446 3182184401 3471473892 6127826892 6364368802 9546553203 12728737604 19093106406 38186212812 106169243197 212338486394 318507729591 424676972788 637015459182 1167861675167 1274030918364 2335723350334 3503585025501 4671446700668 7007170051002 14014340102004