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14042121120132 = 22372923772425081
BaseRepresentation
bin1100110001010110111110…
…1001000010100110000100
31211201102011120020120001220
43030111233221002212010
53320031231001321012
645510510020520340
72646336565101060
oct314255751024604
954642146216056
1014042121120132
114524259327676
1216a9559b500b0
137ab2215aa581
143678dc622aa0
15195403c2008c
hexcc56fa42984

14042121120132 has 96 divisors (see below), whose sum is σ = 38753198373120. Its totient is φ = 3872057333760.

The previous prime is 14042121120113. The next prime is 14042121120149. The reversal of 14042121120132 is 23102112124041.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4577832 + ... + 7002912.

It is an arithmetic number, because the mean of its divisors is an integer number (403679149720).

Almost surely, 214042121120132 is an apocalyptic number.

14042121120132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14042121120132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19376599186560).

14042121120132 is an abundant number, since it is smaller than the sum of its proper divisors (24711077252988).

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

14042121120132 is a wasteful number, since it uses less digits than its factorization.

14042121120132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2427501 (or 2427499 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 14042121120132 its reverse (23102112124041), we get a palindrome (37144233244173).

The spelling of 14042121120132 in words is "fourteen trillion, forty-two billion, one hundred twenty-one million, one hundred twenty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 58 84 87 116 174 203 348 406 609 812 1218 2377 2436 4754 7131 9508 14262 16639 28524 33278 49917 66556 68933 99834 137866 199668 206799 275732 413598 482531 827196 965062 1447593 1930124 2425081 2895186 4850162 5790372 7275243 9700324 14550486 16975567 29100972 33951134 50926701 67902268 70327349 101853402 140654698 203706804 210982047 281309396 421964094 492291443 843928188 984582886 1476874329 1969165772 2953748658 5764417537 5907497316 11528835074 17293252611 23057670148 34586505222 40350922759 69173010444 80701845518 121052768277 161403691036 167168108573 242105536554 334336217146 484211073108 501504325719 668672434292 1003008651438 1170176760011 2006017302876 2340353520022 3510530280033 4680707040044 7021060560066 14042121120132