Search a number
-
+
110444411040 = 2535404956827
BaseRepresentation
bin110011011011011111…
…1111111100010100000
3101120002001122101201020
41212312333333202200
53302142232123130
6122423143005440
710656626001315
oct1466677774240
9346061571636
10110444411040
1142925a99767
12194a3739880
13a5515baa12
1454ba228d0c
152d1612ee10
hex19b6fff8a0

110444411040 has 96 divisors (see below), whose sum is σ = 347991940800. Its totient is φ = 29444050944.

The previous prime is 110444411039. The next prime is 110444411053. The reversal of 110444411040 is 40114444011.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 110444411040.

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 15 ways as a sum of consecutive naturals, for example, 1915107 + ... + 1971933.

It is an arithmetic number, because the mean of its divisors is an integer number (3624916050).

Almost surely, 2110444411040 is an apocalyptic number.

110444411040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110444411040 is an abundant number, since it is smaller than the sum of its proper divisors (237547529760).

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

110444411040 is a wasteful number, since it uses less digits than its factorization.

110444411040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60894 (or 60886 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 110444411040 its reverse (40114444011), we get a palindrome (150558855051).

The spelling of 110444411040 in words is "one hundred ten billion, four hundred forty-four million, four hundred eleven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 4049 8098 12147 16196 20245 24294 32392 40490 48588 56827 60735 64784 80980 97176 113654 121470 129568 161960 170481 194352 227308 242940 284135 323920 340962 388704 454616 485880 568270 647840 681924 852405 909232 971760 1136540 1363848 1704810 1818464 1943520 2273080 2727696 3409620 4546160 5455392 6819240 9092320 13638480 27276960 230092523 460185046 690277569 920370092 1150462615 1380555138 1840740184 2300925230 2761110276 3451387845 3681480368 4601850460 5522220552 6902775690 7362960736 9203700920 11044441104 13805551380 18407401840 22088882208 27611102760 36814803680 55222205520 110444411040