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144114214431222 = 23271306878751931
BaseRepresentation
bin100000110001001000110100…
…100011101110100111110110
3200220021011222101112111200200
4200301020310203232213312
5122342131402343244342
61230301053420421330
742232623402660150
oct4061106443564766
9626234871474620
10144114214431222
1141a12549aa6532
12141b63729a7846
136254bb1b954c9
142783245421ad0
15119db1c56e94c
hex8312348ee9f6

144114214431222 has 48 divisors (see below), whose sum is σ = 356857016635392. Its totient is φ = 41175170063280.

The previous prime is 144114214431191. The next prime is 144114214431293. The reversal of 144114214431222 is 222134412411441.

144114214431222 is a `hidden beast` number, since 1 + 4 + 4 + 1 + 1 + 4 + 214 + 431 + 2 + 2 + 2 = 666.

144114214431222 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1441142144312222 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12090597 + ... + 20842527.

It is an arithmetic number, because the mean of its divisors is an integer number (7434521179904).

Almost surely, 2144114214431222 is an apocalyptic number.

144114214431222 is an abundant number, since it is smaller than the sum of its proper divisors (212742802204170).

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

144114214431222 is a wasteful number, since it uses less digits than its factorization.

144114214431222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8882633 (or 8882630 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

Adding to 144114214431222 its reverse (222134412411441), we get a palindrome (366248626842663).

The spelling of 144114214431222 in words is "one hundred forty-four trillion, one hundred fourteen billion, two hundred fourteen million, four hundred thirty-one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 130687 261374 392061 784122 914809 1176183 1829618 2352366 2744427 5488854 8233281 8751931 16466562 17503862 26255793 52511586 61263517 78767379 122527034 157534758 183790551 367581102 551371653 1102743306 1143763606597 2287527213194 3431290819791 6862581639582 8006345246179 10293872459373 16012690492358 20587744918746 24019035738537 48038071477074 72057107215611 144114214431222