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14032400311140 = 223517153124113727
BaseRepresentation
bin1100110000110010110000…
…1111000110001101100100
31211200111002002211022000020
43030030230033012031210
53314401323434424030
645502221250115140
72645543650430061
oct314145417061544
954614062738006
1014032400311140
114520120173a32
1216a76a657bab0
137aa3326b34a3
143672595b7c68
15195035610510
hexcc32c3c6364

14032400311140 has 192 divisors, whose sum is σ = 41657553358848. Its totient is φ = 3517153228800.

The previous prime is 14032400311133. The next prime is 14032400311141. The reversal of 14032400311140 is 4111300423041.

It is a self number, because there is not a number n which added to its sum of digits gives 14032400311140.

It is not an unprimeable number, because it can be changed into a prime (14032400311141) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3765063957 + ... + 3765067683.

It is an arithmetic number, because the mean of its divisors is an integer number (216966423744).

Almost surely, 214032400311140 is an apocalyptic number.

14032400311140 is a gapful number since it is divisible by the number (10) 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 14032400311140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20828776679424).

14032400311140 is an abundant number, since it is smaller than the sum of its proper divisors (27625153047708).

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

14032400311140 is a wasteful number, since it uses less digits than its factorization.

14032400311140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7698 (or 7696 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 14032400311140 its reverse (4111300423041), we get a palindrome (18143700734181).

The spelling of 14032400311140 in words is "fourteen trillion, thirty-two billion, four hundred million, three hundred eleven thousand, one hundred forty".