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12444403221432 = 2334713809260861
BaseRepresentation
bin1011010100010111000000…
…1110111100001110111000
31122001200011212010211120000
42311011300032330032320
53112342114211041212
642244514021233000
72423035625040420
oct265056016741670
948050155124500
1012444403221432
113a68707214716
12148b985562760
136c366b400840
14310453065480
15168a92b741dc
hexb51703bc3b8

12444403221432 has 320 divisors, whose sum is σ = 42952702161600. Its totient is φ = 3277970933760.

The previous prime is 12444403221413. The next prime is 12444403221443. The reversal of 12444403221432 is 23412230444421.

12444403221432 is a `hidden beast` number, since 1 + 2 + 4 + 4 + 4 + 403 + 2 + 214 + 32 = 666.

12444403221432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 47574682 + ... + 47835542.

It is an arithmetic number, because the mean of its divisors is an integer number (134227194255).

Almost surely, 212444403221432 is an apocalyptic number.

12444403221432 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 12444403221432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21476351080800).

12444403221432 is an abundant number, since it is smaller than the sum of its proper divisors (30508298940168).

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

12444403221432 is a wasteful number, since it uses less digits than its factorization.

12444403221432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261708 (or 261695 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 12444403221432 its reverse (23412230444421), we get a palindrome (35856633665853).

The spelling of 12444403221432 in words is "twelve trillion, four hundred forty-four billion, four hundred three million, two hundred twenty-one thousand, four hundred thirty-two".