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14102131204014 = 23731181331347521
BaseRepresentation
bin1100110100110110100010…
…0001010101111110101110
31211221011001202210200022020
43031031220201111332232
53322022131042012024
645554232445131010
72653562646304620
oct315155041257656
954834052720266
1014102131204014
114547753471917
1216b9107259a66
137b3a96158549
1436a79257cc10
15196c672b5979
hexcd368855fae

14102131204014 has 256 divisors, whose sum is σ = 33719445946368. Its totient is φ = 3847409280000.

The previous prime is 14102131203977. The next prime is 14102131204103. The reversal of 14102131204014 is 41040213120141.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 27067430074 + ... + 27067430594.

It is an arithmetic number, because the mean of its divisors is an integer number (131716585728).

Almost surely, 214102131204014 is an apocalyptic number.

14102131204014 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14102131204014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16859722973184).

14102131204014 is an abundant number, since it is smaller than the sum of its proper divisors (19617314742354).

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

14102131204014 is a wasteful number, since it uses less digits than its factorization.

14102131204014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1423.

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

Adding to 14102131204014 its reverse (41040213120141), we get a palindrome (55142344324155).

The spelling of 14102131204014 in words is "fourteen trillion, one hundred two billion, one hundred thirty-one million, two hundred four thousand, fourteen".