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5440115100 = 22352710632437
BaseRepresentation
bin1010001000100000…
…11001000110011100
3112001010112110222110
411010100121012130
542120132140400
62255452314020
7251545133610
oct50420310634
915033473873
105440115100
112341891aa2
121079a72910
136890a7224
14398709340
1521c8e0e50
hex14441919c

5440115100 has 144 divisors (see below), whose sum is σ = 18012958208. Its totient is φ = 1241775360.

The previous prime is 5440115059. The next prime is 5440115101. The reversal of 5440115100 is 15110445.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5440115101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2231082 + ... + 2233518.

Almost surely, 25440115100 is an apocalyptic number.

5440115100 is a gapful number since it is divisible by the number (50) 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 5440115100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9006479104).

5440115100 is an abundant number, since it is smaller than the sum of its proper divisors (12572843108).

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

5440115100 is a wasteful number, since it uses less digits than its factorization.

5440115100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3524 (or 3517 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 5440115100 is about 73757.1359259563. The cubic root of 5440115100 is about 1758.7442725771.

Adding to 5440115100 its reverse (15110445), we get a palindrome (5455225545).

The spelling of 5440115100 in words is "five billion, four hundred forty million, one hundred fifteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 1063 2100 2126 2437 3189 4252 4874 5315 6378 7311 7441 9748 10630 12185 12756 14622 14882 15945 17059 21260 22323 24370 26575 29244 29764 31890 34118 36555 37205 44646 48740 51177 53150 60925 63780 68236 73110 74410 79725 85295 89292 102354 106300 111615 121850 146220 148820 159450 170590 182775 186025 204708 223230 243700 255885 318900 341180 365550 372050 426475 446460 511770 558075 731100 744100 852950 1023540 1116150 1279425 1705900 2232300 2558850 2590531 5117700 5181062 7771593 10362124 12952655 15543186 18133717 25905310 31086372 36267434 38857965 51810620 54401151 64763275 72534868 77715930 90668585 108802302 129526550 155431860 181337170 194289825 217604604 259053100 272005755 362674340 388579650 453342925 544011510 777159300 906685850 1088023020 1360028775 1813371700 2720057550 5440115100