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110034442333044 = 22327922938578201
BaseRepresentation
bin11001000001001101100011…
…110110010010101101110100
3112102121012010110212120210200
4121001031203312102231310
5103410301014214124134
61030005042554320500
732114504025516645
oct3101154366225564
9472535113776720
10110034442333044
1132073388117849
12104114b4129130
134952284acbc98
141d259a43636cc
15cac3ad338499
hex641363d92b74

110034442333044 has 36 divisors (see below), whose sum is σ = 278146135945860. Its totient is φ = 36677683555200.

The previous prime is 110034442333031. The next prime is 110034442333051. The reversal of 110034442333044 is 440333244430011.

110034442333044 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 344 + 4 + 2 + 3 + 3 + 304 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 104651058608100 + 5383383724944 = 10229910^2 + 2320212^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16436857 + ... + 22141344.

Almost surely, 2110034442333044 is an apocalyptic number.

It is an amenable number.

110034442333044 is an abundant number, since it is smaller than the sum of its proper divisors (168111693612816).

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

110034442333044 is a wasteful number, since it uses less digits than its factorization.

110034442333044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38657440 (or 38657435 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 110034442333044 its reverse (440333244430011), we get a palindrome (550367686763055).

The spelling of 110034442333044 in words is "one hundred ten trillion, thirty-four billion, four hundred forty-two million, three hundred thirty-three thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 79229 158458 237687 316916 475374 713061 950748 1426122 2852244 38578201 77156402 115734603 154312804 231469206 347203809 462938412 694407618 1388815236 3056512287029 6113024574058 9169536861087 12226049148116 18339073722174 27508610583261 36678147444348 55017221166522 110034442333044