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13440364300 = 22521183147211
BaseRepresentation
bin11001000010001101…
…11010111100001100
31021200200102020201101
430201012322330030
5210011213124200
610101401352444
7654031132366
oct144106727414
937620366641
1013440364300
11577780a6a0
122731198724
1313626a68ac
14917039d36
15539e3a26a
hex3211baf0c

13440364300 has 72 divisors (see below), whose sum is σ = 32200564032. Its totient is φ = 4828488000.

The previous prime is 13440364297. The next prime is 13440364307. The reversal of 13440364300 is 346304431.

It is not an unprimeable number, because it can be changed into a prime (13440364307) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17695 + ... + 164905.

It is an arithmetic number, because the mean of its divisors is an integer number (447230056).

Almost surely, 213440364300 is an apocalyptic number.

13440364300 is a gapful number since it is divisible by the number (10) 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 13440364300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16100282016).

13440364300 is an abundant number, since it is smaller than the sum of its proper divisors (18760199732).

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

13440364300 is a wasteful number, since it uses less digits than its factorization.

13440364300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147319 (or 147312 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 13440364300 its reverse (346304431), we get a palindrome (13786668731).

The spelling of 13440364300 in words is "thirteen billion, four hundred forty million, three hundred sixty-four thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 83 100 110 166 220 275 332 415 550 830 913 1100 1660 1826 2075 3652 4150 4565 8300 9130 18260 22825 45650 91300 147211 294422 588844 736055 1472110 1619321 2944220 3238642 3680275 6477284 7360550 8096605 12218513 14721100 16193210 24437026 32386420 40483025 48874052 61092565 80966050 122185130 134403643 161932100 244370260 268807286 305462825 537614572 610925650 672018215 1221851300 1344036430 2688072860 3360091075 6720182150 13440364300