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14122643880492 = 2232717231095692311
BaseRepresentation
bin1100110110000010111100…
…1010111111101000101100
31212000010000100000121110200
43031200233022333220230
53322341133313133432
650011504131033500
72655220165213260
oct315405712775054
955003010017420
1014122643880492
11455541a326304
121701090a3b890
137b59b4b06134
1436b77a99a0a0
15197568050a7c
hexcd82f2bfa2c

14122643880492 has 576 divisors, whose sum is σ = 45590094950400. Its totient is φ = 3591362396160.

The previous prime is 14122643880491. The next prime is 14122643880529. The reversal of 14122643880492 is 29408834622141.

14122643880492 is a `hidden beast` number, since 1 + 4 + 12 + 2 + 64 + 3 + 8 + 80 + 492 = 666.

It is not an unprimeable number, because it can be changed into a prime (14122643880491) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6111052017 + ... + 6111054327.

It is an arithmetic number, because the mean of its divisors is an integer number (79149470400).

Almost surely, 214122643880492 is an apocalyptic number.

14122643880492 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 14122643880492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22795047475200).

14122643880492 is an abundant number, since it is smaller than the sum of its proper divisors (31467451069908).

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

14122643880492 is a wasteful number, since it uses less digits than its factorization.

14122643880492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3046 (or 3041 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 14122643880492 in words is "fourteen trillion, one hundred twenty-two billion, six hundred forty-three million, eight hundred eighty thousand, four hundred ninety-two".