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14042404005 = 3571719439629
BaseRepresentation
bin11010001001111111…
…00001010010100101
31100020122021000221020
431010333201102211
5212224323412010
610241225241353
71004661315240
oct150477412245
940218230836
1014042404005
115a56630a73
12287a933259
13142a3379c6
14972d94257
15572c0c470
hex344fe14a5

14042404005 has 128 divisors (see below), whose sum is σ = 29287526400. Its totient is φ = 5590093824.

The previous prime is 14042404001. The next prime is 14042404009. The reversal of 14042404005 is 50040424041.

It is a happy number.

14042404005 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14042404001) and next prime (14042404009).

It is not a de Polignac number, because 14042404005 - 22 = 14042404001 is a prime.

It is a super-2 number, since 2×140424040052 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14042404001) 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 127 ways as a sum of consecutive naturals, for example, 1453531 + ... + 1463159.

It is an arithmetic number, because the mean of its divisors is an integer number (228808800).

Almost surely, 214042404005 is an apocalyptic number.

14042404005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14042404005 is an abundant number, since it is smaller than the sum of its proper divisors (15245122395).

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

14042404005 is a wasteful number, since it uses less digits than its factorization.

14042404005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9723.

The product of its (nonzero) digits is 2560, while the sum is 24.

Adding to 14042404005 its reverse (50040424041), we get a palindrome (64082828046).

The spelling of 14042404005 in words is "fourteen billion, forty-two million, four hundred four thousand, five".

Divisors: 1 3 5 7 15 17 19 21 35 43 51 57 85 95 105 119 129 133 215 255 285 301 323 357 399 595 645 665 731 817 903 969 1505 1615 1785 1995 2193 2261 2451 3655 4085 4515 4845 5117 5719 6783 9629 10965 11305 12255 13889 15351 17157 25585 28595 28887 33915 41667 48145 67403 69445 76755 85785 97223 144435 163693 182951 202209 208335 291669 337015 414047 486115 491079 548853 818465 914755 1011045 1145851 1242141 1280657 1458345 2070235 2455395 2744265 2898329 3110167 3437553 3841971 5729255 6210705 6403285 7038799 7866893 8694987 9330501 14491645 15550835 17187765 19209855 21116397 21771169 23600679 35193995 39334465 43474935 46652505 49271593 55068251 65313507 105581985 108855845 118003395 133737181 147814779 165204753 246357965 275341255 326567535 401211543 668685905 739073895 826023765 936160267 2006057715 2808480801 4680801335 14042404005