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5440504104 = 23337373433
BaseRepresentation
bin1010001000100011…
…11000000100101000
3112001011021020121000
411010101320010220
542120232112404
62255504515000
7251551344000
oct50421700450
915034236530
105440504104
112342028292
12107a01ba60
136891b22c9
143987ab000
1521c96b339
hex144478128

5440504104 has 128 divisors (see below), whose sum is σ = 17624160000. Its totient is φ = 1554408576.

The previous prime is 5440504079. The next prime is 5440504151. The reversal of 5440504104 is 4014050445.

5440504104 is a `hidden beast` number, since 54 + 4 + 0 + 504 + 104 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37372 + ... + 110804.

It is an arithmetic number, because the mean of its divisors is an integer number (137688750).

Almost surely, 25440504104 is an apocalyptic number.

5440504104 is a gapful number since it is divisible by the number (54) 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 5440504104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8812080000).

5440504104 is an abundant number, since it is smaller than the sum of its proper divisors (12183655896).

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

5440504104 is a wasteful number, since it uses less digits than its factorization.

5440504104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73469 (or 73445 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 5440504104 is about 73759.7729389130. The cubic root of 5440504104 is about 1758.7861921712.

Adding to 5440504104 its reverse (4014050445), we get a palindrome (9454554549).

The spelling of 5440504104 in words is "five billion, four hundred forty million, five hundred four thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 84 98 108 126 147 168 189 196 216 252 294 343 378 392 441 504 588 686 756 882 1029 1176 1323 1372 1512 1764 2058 2646 2744 3087 3528 4116 5292 6174 8232 9261 10584 12348 18522 24696 37044 73433 74088 146866 220299 293732 440598 514031 587464 660897 881196 1028062 1321794 1542093 1762392 1982691 2056124 2643588 3084186 3598217 3965382 4112248 4626279 5287176 6168372 7196434 7930764 9252558 10794651 12336744 13878837 14392868 15861528 18505116 21589302 25187519 27757674 28785736 32383953 37010232 43178604 50375038 55515348 64767906 75562557 86357208 97151859 100750076 111030696 129535812 151125114 194303718 201500152 226687671 259071624 302250228 388607436 453375342 604500456 680063013 777214872 906750684 1360126026 1813501368 2720252052 5440504104