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112343340288 = 2832322927773
BaseRepresentation
bin110100010100000101…
…1110101010100000000
3101201222101210222221010
41220220023311110000
53320034343342123
6123335415400520
711054654431224
oct1505013652400
9351871728833
10112343340288
114370a983383
1219933683140
13a794b380aa
14561a4d4784
152dc7bca993
hex1a282f5500

112343340288 has 144 divisors (see below), whose sum is σ = 313370709120. Its totient is φ = 35661914112.

The previous prime is 112343340287. The next prime is 112343340301. The reversal of 112343340288 is 882043343211.

It is a super-2 number, since 2×1123433402882 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112343340287) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4031170 + ... + 4058942.

It is an arithmetic number, because the mean of its divisors is an integer number (2176185480).

Almost surely, 2112343340288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112343340288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156685354560).

112343340288 is an abundant number, since it is smaller than the sum of its proper divisors (201027368832).

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

112343340288 is a wasteful number, since it uses less digits than its factorization.

112343340288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28044 (or 28030 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

Adding to 112343340288 its reverse (882043343211), we get a palindrome (994386683499).

The spelling of 112343340288 in words is "one hundred twelve billion, three hundred forty-three million, three hundred forty thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 229 256 276 368 384 458 552 687 736 768 916 1104 1374 1472 1832 2208 2748 2944 3664 4416 5267 5496 5888 7328 8832 10534 10992 14656 15801 17664 21068 21984 27773 29312 31602 42136 43968 55546 58624 63204 83319 84272 87936 111092 126408 166638 168544 175872 222184 252816 333276 337088 444368 505632 638779 666552 674176 888736 1011264 1277558 1333104 1348352 1777472 1916337 2022528 2555116 2666208 3554944 3832674 4045056 5110232 5332416 6360017 7109888 7665348 10220464 10664832 12720034 15330696 19080051 20440928 21329664 25440068 30661392 38160102 40881856 50880136 61322784 76320204 81763712 101760272 122645568 146280391 152640408 163527424 203520544 245291136 292560782 305280816 407041088 438841173 490582272 585121564 610561632 814082176 877682346 1170243128 1221123264 1628164352 1755364692 2340486256 2442246528 3510729384 4680972512 4884493056 7021458768 9361945024 14042917536 18723890048 28085835072 37447780096 56171670144 112343340288