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2144113040322 = 2351134637159
BaseRepresentation
bin11111001100110111000…
…110001001101111000010
321120222022220221211100000
4133030313012021233002
5240112120414242242
64320554131340430
7310623056064411
oct37146706115702
97528286854300
102144113040322
11757349a07000
122a7663151716
1312725c2a5c26
1475ac0459478
153ab8ed52a4c
hex1f337189bc2

2144113040322 has 192 divisors, whose sum is σ = 5311225221120. Its totient is φ = 648237355920.

The previous prime is 2144113040257. The next prime is 2144113040359. The reversal of 2144113040322 is 2230403114412.

2144113040322 is a `hidden beast` number, since 2 + 144 + 113 + 0 + 403 + 2 + 2 = 666.

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

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, 299495379 + ... + 299502537.

It is an arithmetic number, because the mean of its divisors is an integer number (27662631360).

Almost surely, 22144113040322 is an apocalyptic number.

2144113040322 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2144113040322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2655612610560).

2144113040322 is an abundant number, since it is smaller than the sum of its proper divisors (3167112180798).

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

2144113040322 is an equidigital number, since it uses as much as digits as its factorization.

2144113040322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7672 (or 7638 counting only the distinct ones).

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

Adding to 2144113040322 its reverse (2230403114412), we get a palindrome (4374516154734).

The spelling of 2144113040322 in words is "two trillion, one hundred forty-four billion, one hundred thirteen million, forty thousand, three hundred twenty-two".