Search a number
-
+
110380804416 = 26321245115391
BaseRepresentation
bin110011011001100110…
…1010110100101000000
3101112220121221211211100
41212303031112211000
53302024441220131
6122412551414400
710655224233261
oct1466315264500
9345817854740
10110380804416
11428a30a5103
1219486384400
13a54137a26c
1454b19cc968
152d107687e6
hex19b3356940

110380804416 has 84 divisors (see below), whose sum is σ = 316432614784. Its totient is φ = 36788256000.

The previous prime is 110380804409. The next prime is 110380804427. The reversal of 110380804416 is 614408083011.

It is a happy number.

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 (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7164081 + ... + 7179471.

Almost surely, 2110380804416 is an apocalyptic number.

110380804416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

110380804416 is an abundant number, since it is smaller than the sum of its proper divisors (206051810368).

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

110380804416 is a wasteful number, since it uses less digits than its factorization.

110380804416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27860 (or 27847 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

Adding to 110380804416 its reverse (614408083011), we get a palindrome (724788887427).

The spelling of 110380804416 in words is "one hundred ten billion, three hundred eighty million, eight hundred four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 12451 15391 24902 30782 37353 46173 49804 61564 74706 92346 99608 112059 123128 138519 149412 184692 199216 224118 246256 277038 298824 369384 398432 448236 492512 554076 597648 738768 796864 896472 985024 1108152 1195296 1477536 1792944 2216304 2390592 2955072 3585888 4432608 7171776 8865216 191633341 383266682 574900023 766533364 1149800046 1533066728 1724700069 2299600092 3066133456 3449400138 4599200184 6132266912 6898800276 9198400368 12264533824 13797600552 18396800736 27595201104 36793601472 55190402208 110380804416