Search a number
-
+
110441411440 = 2452683951437
BaseRepresentation
bin110011011011011010…
…0100011001101110000
3101120001212000000000221
41212312310203031300
53302141000131230
6122422554422424
710656561336163
oct1466664431560
9346055000027
10110441411440
1142924330058
12194a2731a14
13a550aaa5c9
1454b9a87ada
152d15c3b27a
hex19b6d23370

110441411440 has 40 divisors (see below), whose sum is σ = 256790841120. Its totient is φ = 44174059776.

The previous prime is 110441411419. The next prime is 110441411449. The reversal of 110441411440 is 44114144011.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110441411449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2121402 + ... + 2172838.

It is an arithmetic number, because the mean of its divisors is an integer number (6419771028).

Almost surely, 2110441411440 is an apocalyptic number.

110441411440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110441411440 is an abundant number, since it is smaller than the sum of its proper divisors (146349429680).

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

110441411440 is a wasteful number, since it uses less digits than its factorization.

110441411440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78289 (or 78283 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

Adding to 110441411440 its reverse (44114144011), we get a palindrome (154555555451).

The spelling of 110441411440 in words is "one hundred ten billion, four hundred forty-one million, four hundred eleven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 26839 51437 53678 102874 107356 134195 205748 214712 257185 268390 411496 429424 514370 536780 822992 1028740 1073560 2057480 2147120 4114960 1380517643 2761035286 5522070572 6902588215 11044141144 13805176430 22088282288 27610352860 55220705720 110441411440