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110040010240 = 295346912391
BaseRepresentation
bin110011001111011100…
…1010100111000000000
3101112000212200201002211
41212132321110320000
53300330220311430
6122315055151504
710643615440246
oct1463671247000
9345025621084
10110040010240
1142738798426
12193b0215594
13a4b88982c4
14547c63a796
152ce089c72a
hex199ee54e00

110040010240 has 80 divisors (see below), whose sum is σ = 263935473120. Its totient is φ = 43999764480.

The previous prime is 110040010231. The next prime is 110040010307. The reversal of 110040010240 is 42010040011.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 110040010240.

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 7 ways as a sum of consecutive naturals, for example, 8874445 + ... + 8886835.

It is an arithmetic number, because the mean of its divisors is an integer number (3299193414).

Almost surely, 2110040010240 is an apocalyptic number.

110040010240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110040010240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131967736560).

110040010240 is an abundant number, since it is smaller than the sum of its proper divisors (153895462880).

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

110040010240 is an equidigital number, since it uses as much as digits as its factorization.

110040010240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15883 (or 15867 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 110040010240 its reverse (42010040011), we get a palindrome (152050050251).

The spelling of 110040010240 in words is "one hundred ten billion, forty million, ten thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 2560 3469 6938 12391 13876 17345 24782 27752 34690 49564 55504 61955 69380 99128 111008 123910 138760 198256 222016 247820 277520 396512 444032 495640 555040 793024 888064 991280 1110080 1586048 1776128 1982560 2220160 3172096 3965120 4440320 6344192 7930240 8880640 15860480 31720960 42984379 85968758 171937516 214921895 343875032 429843790 687750064 859687580 1375500128 1719375160 2751000256 3438750320 5502000512 6877500640 11004001024 13755001280 22008002048 27510002560 55020005120 110040010240