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14027233589712 = 2432797726475381
BaseRepresentation
bin1100110000011111100001…
…0001100111100111010000
31211122222202000201122122100
43030013320101213213100
53314310233244332322
645500004441240400
72645301632140230
oct314077021474720
954588660648570
1014027233589712
114518a09743722
1216a66a4193100
137a99bb14c985
14366cc9317cc0
15194d31c24dac
hexcc1f84679d0

14027233589712 has 240 divisors, whose sum is σ = 44936119118592. Its totient is φ = 4001422602240.

The previous prime is 14027233589701. The next prime is 14027233589741. The reversal of 14027233589712 is 21798533272041.

14027233589712 is a `hidden beast` number, since 1 + 4 + 0 + 27 + 2 + 33 + 589 + 7 + 1 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2606805262 + ... + 2606810642.

Almost surely, 214027233589712 is an apocalyptic number.

14027233589712 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 14027233589712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22468059559296).

14027233589712 is an abundant number, since it is smaller than the sum of its proper divisors (30908885528880).

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

14027233589712 is a wasteful number, since it uses less digits than its factorization.

14027233589712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9026 (or 9017 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 14027233589712 in words is "fourteen trillion, twenty-seven billion, two hundred thirty-three million, five hundred eighty-nine thousand, seven hundred twelve".