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14131666263 = 3111327189401
BaseRepresentation
bin11010010100101000…
…00001110101010111
31100110212020000201210
431022110001311113
5212420201310023
610254134352503
71010124116121
oct151224016527
940425200653
1014131666263
115aa1a59030
1228a47bb733
13144298bc00
14980b8c211
1557a990593
hex34a501d57

14131666263 has 96 divisors (see below), whose sum is σ = 22881968640. Its totient is φ = 7687680000.

The previous prime is 14131666223. The next prime is 14131666291. The reversal of 14131666263 is 36266613141.

It is not a de Polignac number, because 14131666263 - 217 = 14131535191 is a prime.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14131666223) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35240863 + ... + 35241263.

It is an arithmetic number, because the mean of its divisors is an integer number (238353840).

Almost surely, 214131666263 is an apocalyptic number.

14131666263 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

14131666263 is a deficient number, since it is larger than the sum of its proper divisors (8750302377).

14131666263 is a wasteful number, since it uses less digits than its factorization.

14131666263 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601 (or 588 counting only the distinct ones).

The product of its digits is 93312, while the sum is 39.

The spelling of 14131666263 in words is "fourteen billion, one hundred thirty-one million, six hundred sixty-six thousand, two hundred sixty-three".

Divisors: 1 3 11 13 33 39 71 89 143 169 213 267 401 429 507 781 923 979 1157 1203 1859 2343 2769 2937 3471 4411 5213 5577 6319 10153 11999 12727 13233 15041 15639 18957 28471 30459 35689 35997 38181 45123 57343 67769 69509 82147 85413 107067 131989 165451 172029 203307 208527 246441 313181 370123 392579 395967 463957 496353 745459 903617 939543 1067911 1110369 1177737 1391871 2236377 2533919 2710851 3203733 4071353 4811599 5103527 6031441 7601757 11747021 12214059 14434797 15310581 18094323 27873109 32940947 35241063 52927589 66345851 83619327 98822841 158782767 199037553 362350417 428232311 1087051251 1284696933 4710555421 14131666263