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12443042322 = 23217316072161
BaseRepresentation
bin10111001011010100…
…11100001000010010
31012010011210001011100
423211222130020102
5200440404323242
65414413325230
7620231054214
oct134552341022
935104701140
1012443042322
115305855957
1224b3196816
131233b96649
148607c85b4
154cc5d754c
hex2e5a9c212

12443042322 has 96 divisors (see below), whose sum is σ = 29528838144. Its totient is φ = 3769804800.

The previous prime is 12443042309. The next prime is 12443042323. The reversal of 12443042322 is 22324034421.

12443042322 is a `hidden beast` number, since 124 + 4 + 304 + 232 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (12443042323) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5756922 + ... + 5759082.

It is an arithmetic number, because the mean of its divisors is an integer number (307592064).

Almost surely, 212443042322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12443042322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14764419072).

12443042322 is an abundant number, since it is smaller than the sum of its proper divisors (17085795822).

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

12443042322 is a wasteful number, since it uses less digits than its factorization.

12443042322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2824 (or 2821 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 12443042322 its reverse (22324034421), we get a palindrome (34767076743).

The spelling of 12443042322 in words is "twelve billion, four hundred forty-three million, forty-two thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 31 34 51 62 93 102 153 186 279 306 527 558 607 1054 1214 1581 1821 2161 3162 3642 4322 4743 5463 6483 9486 10319 10926 12966 18817 19449 20638 30957 36737 37634 38898 56451 61914 66991 73474 92871 110211 112902 133982 169353 185742 200973 220422 319889 330633 338706 401946 602919 639778 661266 959667 1138847 1205838 1311727 1919334 2277694 2623454 2879001 3416541 3935181 5758002 6833082 7870362 10249623 11805543 20499246 22299359 23611086 40663537 44598718 66898077 81327074 121990611 133796154 200694231 243981222 365971833 401388462 691280129 731943666 1382560258 2073840387 4147680774 6221521161 12443042322