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112344324444 = 2232114310165323
BaseRepresentation
bin110100010100000111…
…1100101100101011100
3101201222110122222221100
41220220033211211130
53320040121340234
6123335452433100
711054666000412
oct1505017454534
9351873588840
10112344324444
1143710495830
1219933a78790
13a7950c1031
14561a6ad2b2
152dc7d22399
hex1a283e595c

112344324444 has 144 divisors (see below), whose sum is σ = 320146130304. Its totient is φ = 32922288000.

The previous prime is 112344324437. The next prime is 112344324461. The reversal of 112344324444 is 444423443211.

112344324444 is a `hidden beast` number, since 112 + 34 + 432 + 44 + 44 = 666.

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 = 112344324399 and 112344324408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1687167 + ... + 1752489.

It is an arithmetic number, because the mean of its divisors is an integer number (2223237016).

Almost surely, 2112344324444 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 112344324444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160073065152).

112344324444 is an abundant number, since it is smaller than the sum of its proper divisors (207801805860).

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

112344324444 is a wasteful number, since it uses less digits than its factorization.

112344324444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65488 (or 65483 counting only the distinct ones).

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

Adding to 112344324444 its reverse (444423443211), we get a palindrome (556767767655).

The spelling of 112344324444 in words is "one hundred twelve billion, three hundred forty-four million, three hundred twenty-four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 43 44 66 86 99 101 129 132 172 198 202 258 303 387 396 404 473 516 606 774 909 946 1111 1212 1419 1548 1818 1892 2222 2838 3333 3636 4257 4343 4444 5676 6666 8514 8686 9999 13029 13332 17028 17372 19998 26058 39087 39996 47773 52116 65323 78174 95546 130646 143319 156348 191092 195969 261292 286638 391938 429957 573276 587907 718553 783876 859914 1175814 1437106 1719828 2155659 2351628 2808889 2874212 4311318 5617778 6466977 6597623 8426667 8622636 11235556 12933954 13195246 16853334 19792869 25280001 25867908 26390492 30897779 33706668 39585738 50560002 59378607 61795558 72573853 79171476 92693337 101120004 118757214 123591116 145147706 185386674 217721559 237514428 278080011 283697789 290295412 370773348 435443118 556160022 567395578 653164677 851093367 870886236 1112320044 1134791156 1306329354 1702186734 2553280101 2612658708 3120675679 3404373468 5106560202 6241351358 9362027037 10213120404 12482702716 18724054074 28086081111 37448108148 56172162222 112344324444