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110434444134 = 23721498293041
BaseRepresentation
bin110011011011001100…
…1111110001101100110
3101120001100220000200120
41212312121332031212
53302132204203014
6122422145222410
710656445200300
oct1466631761546
9346040800616
10110434444134
1142920401453
12194a0331a06
13a54c50b241
1454b8b92970
152d15311ba9
hex19b667e366

110434444134 has 96 divisors (see below), whose sum is σ = 259050636000. Its totient is φ = 31292835840.

The previous prime is 110434444111. The next prime is 110434444147. The reversal of 110434444134 is 431444434011.

It is a junction number, because it is equal to n+sod(n) for n = 110434444095 and 110434444104.

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, 36313654 + ... + 36316694.

It is an arithmetic number, because the mean of its divisors is an integer number (2698444125).

Almost surely, 2110434444134 is an apocalyptic number.

110434444134 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 110434444134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129525318000).

110434444134 is an abundant number, since it is smaller than the sum of its proper divisors (148616191866).

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

110434444134 is a wasteful number, since it uses less digits than its factorization.

110434444134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4038 (or 4031 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 110434444134 its reverse (431444434011), we get a palindrome (541878878145).

The spelling of 110434444134 in words is "one hundred ten billion, four hundred thirty-four million, four hundred forty-four thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 149 294 298 447 829 894 1043 1658 2086 2487 3041 3129 4974 5803 6082 6258 7301 9123 11606 14602 17409 18246 21287 21903 34818 40621 42574 43806 63861 81242 121863 123521 127722 149009 243726 247042 298018 370563 447027 453109 741126 864647 894054 906218 1359327 1729294 2520989 2593941 2718654 3171763 5041978 5187882 6052529 6343526 7562967 9515289 12105058 15125934 17646923 18157587 19030578 22202341 35293846 36315174 44404682 52940769 66607023 105881538 123528461 133214046 247056922 370585383 375627361 741170766 751254722 1126882083 2253764166 2629391527 5258783054 7888174581 15776349162 18405740689 36811481378 55217222067 110434444134