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14532253144344 = 23321326129276689
BaseRepresentation
bin1101001101111000110111…
…0010010101010100011000
31220110021021201010011100200
43103132031302111110120
53401044023301104334
650524005215102200
73026630531416635
oct323361562252430
956407251104320
1014532253144344
1146a3104054881
121768546211960
138155021b4b00
1438351704d18c
151a303d373799
hexd378dc95518

14532253144344 has 288 divisors, whose sum is σ = 43338570350400. Its totient is φ = 4395999928320.

The previous prime is 14532253144273. The next prime is 14532253144391. The reversal of 14532253144344 is 44344135223541.

It is a happy number.

14532253144344 is a `hidden beast` number, since 1 + 4 + 5 + 32 + 2 + 531 + 4 + 43 + 44 = 666.

14532253144344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×145322531443442 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 14532253144344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2172556552 + ... + 2172563240.

It is an arithmetic number, because the mean of its divisors is an integer number (150481147050).

Almost surely, 214532253144344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14532253144344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21669285175200).

14532253144344 is an abundant number, since it is smaller than the sum of its proper divisors (28806317206056).

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

14532253144344 is a wasteful number, since it uses less digits than its factorization.

14532253144344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9715 (or 9695 counting only the distinct ones).

The product of its digits is 2764800, while the sum is 45.

Adding to 14532253144344 its reverse (44344135223541), we get a palindrome (58876388367885).

The spelling of 14532253144344 in words is "fourteen trillion, five hundred thirty-two billion, two hundred fifty-three million, one hundred forty-four thousand, three hundred forty-four".