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14114101410 = 2325476749801
BaseRepresentation
bin11010010010100010…
…00001100010100010
31100102122011122021200
431021101001202202
5212401202221120
610252310102030
71006521611463
oct151121014242
940378148250
1014114101410
115a93051322
12289a94a916
13143c14bcc6
1497c6d8d6a
15579170e90
hex3494418a2

14114101410 has 96 divisors (see below), whose sum is σ = 38037572352. Its totient is φ = 3628627200.

The previous prime is 14114101399. The next prime is 14114101427. The reversal of 14114101410 is 1410141141.

14114101410 is a `hidden beast` number, since 141 + 14 + 101 + 410 = 666.

It is a super-2 number, since 2×141141014102 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 258510 + ... + 308310.

It is an arithmetic number, because the mean of its divisors is an integer number (396224712).

Almost surely, 214114101410 is an apocalyptic number.

14114101410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14114101410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19018786176).

14114101410 is an abundant number, since it is smaller than the sum of its proper divisors (23923470942).

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

14114101410 is a wasteful number, since it uses less digits than its factorization.

14114101410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49928 (or 49925 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 14114101410 its reverse (1410141141), we get a palindrome (15524242551).

The spelling of 14114101410 in words is "fourteen billion, one hundred fourteen million, one hundred one thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 47 67 90 94 134 141 201 235 282 335 402 423 470 603 670 705 846 1005 1206 1410 2010 2115 3015 3149 4230 6030 6298 9447 15745 18894 28341 31490 47235 49801 56682 94470 99602 141705 149403 249005 283410 298806 448209 498010 747015 896418 1494030 2241045 2340647 3336667 4482090 4681294 6673334 7021941 10010001 11703235 14043882 16683335 20020002 21065823 23406470 30030003 33366670 35109705 42131646 50050005 60060006 70219410 100100010 105329115 150150015 156823349 210658230 300300030 313646698 470470047 784116745 940940094 1411410141 1568233490 2352350235 2822820282 4704700470 7057050705 14114101410