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2144244314322 = 2331116322146251
BaseRepresentation
bin11111001100111110111…
…010111011000011010010
321120222200001222020102000
4133030332322323003102
5240112403021024242
64321015141134430
7310626241642425
oct37147672730322
97528601866360
102144244314322
11757407019110
122a769b0ba416
13127280549556
1475ad3a6b9bc
153ab9b633a4c
hex1f33eebb0d2

2144244314322 has 64 divisors (see below), whose sum is σ = 5230058872320. Its totient is φ = 645784650000.

The previous prime is 2144244314287. The next prime is 2144244314353. The reversal of 2144244314322 is 2234134424412.

2144244314322 is a `hidden beast` number, since 2 + 14 + 4 + 2 + 4 + 4 + 314 + 322 = 666.

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, 10976304 + ... + 11169947.

It is an arithmetic number, because the mean of its divisors is an integer number (81719669880).

Almost surely, 22144244314322 is an apocalyptic number.

2144244314322 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2144244314322 is an abundant number, since it is smaller than the sum of its proper divisors (3085814557998).

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

2144244314322 is a wasteful number, since it uses less digits than its factorization.

2144244314322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22146436 (or 22146430 counting only the distinct ones).

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

Adding to 2144244314322 its reverse (2234134424412), we get a palindrome (4378378738734).

The spelling of 2144244314322 in words is "two trillion, one hundred forty-four billion, two hundred forty-four million, three hundred fourteen thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 163 198 297 326 489 594 978 1467 1793 2934 3586 4401 5379 8802 10758 16137 32274 48411 96822 22146251 44292502 66438753 132877506 199316259 243608761 398632518 487217522 597948777 730826283 1195897554 1461652566 2192478849 3609838913 4384957698 6577436547 7219677826 10829516739 13154873094 21659033478 32488550217 39708228043 64977100434 79416456086 97465650651 119124684129 194931301302 238249368258 357374052387 714748104774 1072122157161 2144244314322