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14032220143104 = 293371101141551
BaseRepresentation
bin1100110000110010000101…
…1111110011111000000000
31211200110121112210210221000
43030030201133303320000
53314400441324034404
645502151332332000
72645536332141612
oct314144137637000
954613545723830
1014032220143104
1145200384a7029
1216a7656174000
137aa304280c97
1436723d6b8db2
151950248c2339
hexcc3217f3e00

14032220143104 has 320 divisors, whose sum is σ = 42538708776960. Its totient is φ = 4565836800000.

The previous prime is 14032220143091. The next prime is 14032220143141. The reversal of 14032220143104 is 40134102223041.

14032220143104 is a `hidden beast` number, since 1 + 4 + 0 + 3 + 2 + 220 + 1 + 431 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99061129 + ... + 99202679.

It is an arithmetic number, because the mean of its divisors is an integer number (132933464928).

Almost surely, 214032220143104 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 14032220143104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21269354388480).

14032220143104 is an abundant number, since it is smaller than the sum of its proper divisors (28506488633856).

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

14032220143104 is a wasteful number, since it uses less digits than its factorization.

14032220143104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141750 (or 141728 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 14032220143104 its reverse (40134102223041), we get a palindrome (54166322366145).

The spelling of 14032220143104 in words is "fourteen trillion, thirty-two billion, two hundred twenty million, one hundred forty-three thousand, one hundred four".