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14024022340014 = 2326128346379733
BaseRepresentation
bin1100110000010011100011…
…0111101011000110101110
31211122200110020012021012100
43030010320313223012232
53314232144204340024
645454314045115530
72645126230024221
oct314047067530656
954580406167170
1014024022340014
114517611007255
1216a5b48858ba6
137a95c8a7281b
14366aa2a415b8
15194be4d537c9
hexcc138deb1ae

14024022340014 has 96 divisors (see below), whose sum is σ = 31002500471904. Its totient is φ = 4580333879040.

The previous prime is 14024022339959. The next prime is 14024022340049. The reversal of 14024022340014 is 41004322042041.

14024022340014 is a `hidden beast` number, since 1 + 4 + 0 + 24 + 0 + 223 + 400 + 14 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 14024022340014.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1440868692 + ... + 1440878424.

It is an arithmetic number, because the mean of its divisors is an integer number (322942713249).

Almost surely, 214024022340014 is an apocalyptic number.

14024022340014 is an abundant number, since it is smaller than the sum of its proper divisors (16978478131890).

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

14024022340014 is a wasteful number, since it uses less digits than its factorization.

14024022340014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14722 (or 14719 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 14024022340014 its reverse (41004322042041), we get a palindrome (55028344382055).

The spelling of 14024022340014 in words is "fourteen trillion, twenty-four billion, twenty-two million, three hundred forty thousand, fourteen".

Divisors: 1 2 3 6 9 18 61 122 183 283 366 549 566 849 1098 1698 2547 4637 5094 9274 9733 13911 17263 19466 27822 29199 34526 41733 51789 58398 83466 87597 103578 155367 175194 282857 310734 565714 593713 848571 1187426 1312271 1697142 1781139 2545713 2624542 2754439 3562278 3936813 5091426 5343417 5508878 7873626 8263317 10686834 11810439 16526634 23620878 24789951 45131921 49579902 80048531 90263842 135395763 160097062 168020779 240145593 270791526 336041558 406187289 480291186 504062337 720436779 812374578 1008124674 1440873558 1512187011 2753047181 3024374022 5506094362 8259141543 12772333643 16518283086 24777424629 25544667286 38317000929 49554849258 76634001858 114951002787 229902005574 779112352223 1558224704446 2337337056669 4674674113338 7012011170007 14024022340014