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14013310311 = 3471113401431
BaseRepresentation
bin11010000110100001…
…00010010101100111
31100011121111220220000
431003100202111213
5212144401412221
610234305512343
71004156113050
oct150320422547
940147456800
1014013310311
115a4116a4a0
1228710426b3
1314242bc3c0
1496d17d727
155703b1e26
hex343422567

14013310311 has 160 divisors (see below), whose sum is σ = 28241934336. Its totient is φ = 6687360000.

The previous prime is 14013310271. The next prime is 14013310321. The reversal of 14013310311 is 11301331041.

14013310311 is a `hidden beast` number, since 1 + 40 + 1 + 3 + 310 + 311 = 666.

It is not a de Polignac number, because 14013310311 - 211 = 14013308263 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14013310321) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 32513266 + ... + 32513696.

Almost surely, 214013310311 is an apocalyptic number.

14013310311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

14013310311 is an abundant number, since it is smaller than the sum of its proper divisors (14228624025).

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

14013310311 is a wasteful number, since it uses less digits than its factorization.

14013310311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875 (or 866 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 14013310311 its reverse (11301331041), we get a palindrome (25314641352).

The spelling of 14013310311 in words is "fourteen billion, thirteen million, three hundred ten thousand, three hundred eleven".

Divisors: 1 3 7 9 11 13 21 27 33 39 63 77 81 91 99 117 143 189 231 273 297 351 401 429 431 567 693 819 891 1001 1053 1203 1287 1293 2079 2457 2807 3003 3017 3609 3861 3879 4411 4741 5213 5603 6237 7371 8421 9009 9051 10827 11583 11637 13233 14223 15639 16809 25263 27027 27153 30877 32481 33187 34911 36491 39221 39699 42669 46917 50427 57343 61633 75789 81081 81459 92631 99561 109473 117663 119097 128007 140751 151281 172029 172831 184899 227367 244377 277893 298683 328419 352989 357291 384021 401401 422253 431431 453843 516087 518493 554697 833679 896049 985257 1058967 1204203 1209817 1294293 1548261 1555479 1664091 1901141 2246803 2501037 2688147 2955771 3176901 3612609 3629451 3882879 4644783 4666437 4992273 5703423 6740409 10837827 10888353 11648637 13307987 13999311 15727621 17110269 20221227 24714833 32513481 32665059 34945911 39923961 47182863 51330807 60663681 74144499 97995177 119771883 141548589 153992421 173003831 181991043 222433497 359315649 424645767 519011493 667300491 1077946947 1273937301 1557034479 2001901473 4671103437 14013310311