Search a number
-
+
1140444100 = 225221535297
BaseRepresentation
bin100001111111001…
…1100101111000100
32221110221120012101
41003332130233010
54313423202400
6305055401444
740155420625
oct10376345704
92843846171
101140444100
11535829594
12279b23284
131523716c3
14ab669a4c
156a1c456a
hex43f9cbc4

1140444100 has 36 divisors (see below), whose sum is σ = 2476380564. Its totient is φ = 455879680.

The previous prime is 1140444091. The next prime is 1140444101. The reversal of 1140444100 is 14440411.

It can be written as a sum of positive squares in 6 ways, for example, as 57244356 + 1083199744 = 7566^2 + 32912^2 .

It is a super-2 number, since 2×11404441002 = 2601225490449620000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1140444101) by changing a digit.

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, 212652 + ... + 217948.

It is an arithmetic number, because the mean of its divisors is an integer number (68788349).

Almost surely, 21140444100 is an apocalyptic number.

1140444100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1140444100 is an abundant number, since it is smaller than the sum of its proper divisors (1335936464).

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

1140444100 is a wasteful number, since it uses less digits than its factorization.

1140444100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7464 (or 7457 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 1140444100 is about 33770.4619453155. The cubic root of 1140444100 is about 1044.7795601961.

Adding to 1140444100 its reverse (14440411), we get a palindrome (1154884511).

The spelling of 1140444100 in words is "one billion, one hundred forty million, four hundred forty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2153 4306 5297 8612 10594 10765 21188 21530 26485 43060 52970 53825 105940 107650 132425 215300 264850 529700 11404441 22808882 45617764 57022205 114044410 228088820 285111025 570222050 1140444100