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44322122122344 = 233211237985336107
BaseRepresentation
bin10100001001111100011000…
…10110000100010001101000
312210221011010220012222211100
422010332030112010101220
521302133201230403334
6234133145105201400
712223111334651643
oct1204761426042150
9183834126188740
1044322122122344
11131389a750a980
124b79b11030260
131b96734431a01
14ad32b8a0aa5a
1551cdc0588c99
hex284f8c584468

44322122122344 has 384 divisors, whose sum is σ = 138541023129600. Its totient is φ = 12669150574080.

The previous prime is 44322122122277. The next prime is 44322122122351.

44322122122344 is a `hidden beast` number, since 4 + 432 + 2 + 1 + 2 + 212 + 2 + 3 + 4 + 4 = 666.

44322122122344 is nontrivially palindromic in base 10.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 44322122122299 and 44322122122308.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1227503539 + ... + 1227539645.

It is an arithmetic number, because the mean of its divisors is an integer number (360783914400).

Almost surely, 244322122122344 is an apocalyptic number.

44322122122344 is a gapful number since it is divisible by the number (44) 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 44322122122344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69270511564800).

44322122122344 is an abundant number, since it is smaller than the sum of its proper divisors (94218901007256).

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

44322122122344 is a wasteful number, since it uses less digits than its factorization.

44322122122344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37085 (or 37078 counting only the distinct ones).

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

It can be divided in two parts, 4432212 and 2122344, that added together give a palindrome (6554556).

The spelling of 44322122122344 in words is "forty-four trillion, three hundred twenty-two billion, one hundred twenty-two million, one hundred twenty-two thousand, three hundred forty-four".