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110445444 = 223537283
BaseRepresentation
bin1101001010101…
…00001110000100
321200211012200000
412211110032010
5211233223234
614543121300
72510525244
oct645241604
9250735600
10110445444
115738632a
1230ba3230
1319b60045
141094db24
159a69899
hex6954384

110445444 has 108 divisors (see below), whose sum is σ = 301143024. Its totient is φ = 35388576.

The previous prime is 110445443. The next prime is 110445451. The reversal of 110445444 is 444544011.

110445444 is a `hidden beast` number, since 110 + 4 + 4 + 544 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (108).

It is a super-2 number, since 2×1104454442 = 24396392200714272, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (110445443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1330627 + ... + 1330709.

Almost surely, 2110445444 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 110445444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150571512).

110445444 is an abundant number, since it is smaller than the sum of its proper divisors (190697580).

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

110445444 is an equidigital number, since it uses as much as digits as its factorization.

110445444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 110445444 is about 10509.3027361476. The cubic root of 110445444 is about 479.7878750200.

Adding to 110445444 its reverse (444544011), we get a palindrome (554989455).

It can be divided in two parts, 110445 and 444, that added together give a square (110889 = 3332).

The spelling of 110445444 in words is "one hundred ten million, four hundred forty-five thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 81 83 108 111 148 162 166 222 243 249 324 332 333 444 486 498 666 747 972 996 999 1332 1369 1494 1998 2241 2738 2988 2997 3071 3996 4107 4482 5476 5994 6142 6723 8214 8964 8991 9213 11988 12284 12321 13446 16428 17982 18426 20169 24642 26892 27639 35964 36852 36963 40338 49284 55278 73926 80676 82917 110556 110889 113627 147852 165834 221778 227254 248751 331668 332667 340881 443556 454508 497502 665334 681762 746253 995004 1022643 1330668 1363524 1492506 2045286 2985012 3067929 4090572 6135858 9203787 12271716 18407574 27611361 36815148 55222722 110445444