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14389411823712 = 253442147927529
BaseRepresentation
bin1101000101100100101111…
…0001111100000001100000
31212221121120211222020110000
43101121023301330001200
53341224003411324322
650334223213540000
73013413016264002
oct321311361740140
955847524866400
1014389411823712
114648573930472
121744920aa4600
13804bb9a88c03
1437a646322372
1519e47cea43ac
hexd164bc7c060

14389411823712 has 240 divisors, whose sum is σ = 42509482646400. Its totient is φ = 4774914385920.

The previous prime is 14389411823711. The next prime is 14389411823789. The reversal of 14389411823712 is 21732811498341.

It is a happy number.

14389411823712 is a `hidden beast` number, since 1 + 4 + 3 + 8 + 94 + 1 + 182 + 371 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14389411823711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 522686364 + ... + 522713892.

It is an arithmetic number, because the mean of its divisors is an integer number (177122844360).

Almost surely, 214389411823712 is an apocalyptic number.

14389411823712 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 14389411823712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21254741323200).

14389411823712 is an abundant number, since it is smaller than the sum of its proper divisors (28120070822688).

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

14389411823712 is a wasteful number, since it uses less digits than its factorization.

14389411823712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28451 (or 28434 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The spelling of 14389411823712 in words is "fourteen trillion, three hundred eighty-nine billion, four hundred eleven million, eight hundred twenty-three thousand, seven hundred twelve".