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14010104031 = 3711794431733
BaseRepresentation
bin11010000110001000…
…10011100011011111
31100011101111000200220
431003010103203133
5212143041312111
610234113052423
71004116630230
oct150304234337
940141430626
1014010104031
115a3a37a580
12286bb57113
131423738bb1
1496c987087
1556ee7be06
hex3431138df

14010104031 has 64 divisors (see below), whose sum is σ = 23651205120. Its totient is φ = 7165491840.

The previous prime is 14010104027. The next prime is 14010104047. The reversal of 14010104031 is 13040101041.

14010104031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 14010104031 - 22 = 14010104027 is a prime.

It is a super-2 number, since 2×140101040312 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 14010104031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14010104431) 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 63 ways as a sum of consecutive naturals, for example, 8083441 + ... + 8085173.

It is an arithmetic number, because the mean of its divisors is an integer number (369550080).

Almost surely, 214010104031 is an apocalyptic number.

14010104031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

14010104031 is a deficient number, since it is larger than the sum of its proper divisors (9641101089).

14010104031 is a wasteful number, since it uses less digits than its factorization.

14010104031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2276.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 14010104031 its reverse (13040101041), we get a palindrome (27050205072).

It can be divided in two parts, 1401010 and 4031, that added together give a palindrome (1405041).

The spelling of 14010104031 in words is "fourteen billion, ten million, one hundred four thousand, thirty-one".

Divisors: 1 3 7 11 21 33 77 79 231 237 443 553 869 1329 1659 1733 2607 3101 4873 5199 6083 9303 12131 14619 18249 19063 34111 34997 36393 57189 102333 104991 133441 136907 244979 384967 400323 410721 734937 767719 958349 1154901 1505977 2303157 2694769 2875047 4517931 5374033 8084307 8444909 10541839 16122099 25334727 31625517 59114363 60649801 177343089 181949403 424548607 667147811 1273645821 2001443433 4670034677 14010104031