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14040013013505 = 3251951159918139
BaseRepresentation
bin1100110001001111000111…
…1111010000001000000001
31211201012201122110122102200
43030103301333100020001
53320012421312413010
645505520512503413
72646233416351443
oct314236177201001
954635648418380
1014040013013505
114523377361996
1216a906bb4ab69
137aac769118bb
1436777c666493
1519532db05cc0
hexcc4f1fd0201

14040013013505 has 24 divisors (see below), whose sum is σ = 24348496323840. Its totient is φ = 7484168858400.

The previous prime is 14040013013483. The next prime is 14040013013519. The reversal of 14040013013505 is 50531031004041.

It is a happy number.

14040013013505 is a `hidden beast` number, since 1 + 4 + 0 + 4 + 0 + 0 + 1 + 301 + 350 + 5 = 666.

It is not a de Polignac number, because 14040013013505 - 226 = 14039945904641 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79871275 + ... + 80046864.

It is an arithmetic number, because the mean of its divisors is an integer number (1014520680160).

Almost surely, 214040013013505 is an apocalyptic number.

14040013013505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14040013013505 is a deficient number, since it is larger than the sum of its proper divisors (10308483310335).

14040013013505 is a wasteful number, since it uses less digits than its factorization.

14040013013505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159920101 (or 159920098 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 14040013013505 its reverse (50531031004041), we get a palindrome (64571044017546).

The spelling of 14040013013505 in words is "fourteen trillion, forty billion, thirteen million, thirteen thousand, five hundred five".

Divisors: 1 3 5 9 15 45 1951 5853 9755 17559 29265 87795 159918139 479754417 799590695 1439263251 2398772085 7196316255 312000289189 936000867567 1560001445945 2808002602701 4680004337835 14040013013505