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5440300101 = 32172343157229
BaseRepresentation
bin1010001000100010…
…00110010001000101
3112001010212212202100
411010101012101011
542120204100401
62255500302313
7251546534145
oct50421062105
915033785670
105440300101
1123419a8a95
121079b41999
136891404b2
14398756925
1521c92ab86
hex144446445

5440300101 has 96 divisors (see below), whose sum is σ = 8979759360. Its totient is φ = 3155023872.

The previous prime is 5440300097. The next prime is 5440300109. The reversal of 5440300101 is 1010030445.

It is a happy number.

5440300101 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 5440300101 - 22 = 5440300097 is a prime.

It is a super-2 number, since 2×54403001012 = 59193730377881220402, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5440300109) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 23756655 + ... + 23756883.

It is an arithmetic number, because the mean of its divisors is an integer number (93539160).

Almost surely, 25440300101 is an apocalyptic number.

5440300101 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

It is an amenable number.

5440300101 is a deficient number, since it is larger than the sum of its proper divisors (3539459259).

5440300101 is a wasteful number, since it uses less digits than its factorization.

5440300101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 5440300101 is about 73758.3900380153. The cubic root of 5440300101 is about 1758.7642087828.

Adding to 5440300101 its reverse (1010030445), we get a palindrome (6450330546).

The spelling of 5440300101 in words is "five billion, four hundred forty million, three hundred thousand, one hundred one".

Divisors: 1 3 9 17 23 43 51 69 129 153 157 207 229 387 391 471 687 731 989 1173 1413 2061 2193 2669 2967 3519 3611 3893 5267 6579 6751 8007 8901 9847 10833 11679 15801 16813 20253 24021 29541 32499 35037 35953 47403 50439 60759 61387 88623 89539 107859 114767 151317 155273 167399 184161 226481 268617 323577 344301 465819 502197 552483 611201 679443 805851 826919 1032903 1397457 1506591 1545979 1833603 2038329 2480757 2639641 3850177 4637937 5500809 7442271 7918923 11550531 13913811 14057623 23756769 26281643 34651593 35557517 42172869 78844929 106672551 126518607 236534787 320017653 604477789 1813433367 5440300101