Search a number
-
+
2104241344400 = 245213404661797
BaseRepresentation
bin11110100111101110100…
…011101100111110010000
321110011102012022210221102
4132213232203230332100
5233433441241010100
64250401454443532
7305012030212106
oct36475643547620
97404365283842
102104241344400
11741449421798
1229b9962035a8
13123576997250
1473bbad29c76
1539b09761cd5
hex1e9ee8ecf90

2104241344400 has 60 divisors (see below), whose sum is σ = 5444319830292. Its totient is φ = 776950648320.

The previous prime is 2104241344393. The next prime is 2104241344409. The reversal of 2104241344400 is 44431424012.

It can be written as a sum of positive squares in 6 ways, for example, as 65388626944 + 2038852717456 = 255712^2 + 1427884^2 .

It is a super-2 number, since 2×21042413444002 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2104241344409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 202325699 + ... + 202336098.

Almost surely, 22104241344400 is an apocalyptic number.

2104241344400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2104241344400 is an abundant number, since it is smaller than the sum of its proper divisors (3340078485892).

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

2104241344400 is a wasteful number, since it uses less digits than its factorization.

2104241344400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404661828 (or 404661817 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 2104241344400 its reverse (44431424012), we get a palindrome (2148672768412).

The spelling of 2104241344400 in words is "two trillion, one hundred four billion, two hundred forty-one million, three hundred forty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 130 200 208 260 325 400 520 650 1040 1300 2600 5200 404661797 809323594 1618647188 2023308985 3237294376 4046617970 5260603361 6474588752 8093235940 10116544925 10521206722 16186471880 20233089850 21042413444 26303016805 32372943760 40466179700 42084826888 52606033610 80932359400 84169653776 105212067220 131515084025 161864718800 210424134440 263030168050 420848268880 526060336100 1052120672200 2104241344400