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244141222400 = 295219073533
BaseRepresentation
bin1110001101011111110…
…0110110101000000000
3212100011121210010011022
43203113330312220000
513000000123104100
6304053521405012
723432022102335
oct3432774665000
9770147703138
10244141222400
11945a339a999
123b396499768
131a03a33a99a
14bb6068498c
15653d7c9e85
hex38d7f36a00

244141222400 has 60 divisors (see below), whose sum is σ = 604878983742. Its totient is φ = 97656483840.

The previous prime is 244141222397. The next prime is 244141222417. The reversal of 244141222400 is 4222141442.

It is a happy number.

244141222400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 201665661184 + 42475561216 = 449072^2 + 206096^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 244141222400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9523967 + ... + 9549566.

Almost surely, 2244141222400 is an apocalyptic number.

244141222400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

244141222400 is an abundant number, since it is smaller than the sum of its proper divisors (360737761342).

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

244141222400 is an equidigital number, since it uses as much as digits as its factorization.

244141222400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19073561 (or 19073540 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

Adding to 244141222400 its reverse (4222141442), we get a palindrome (248363363842).

The spelling of 244141222400 in words is "two hundred forty-four billion, one hundred forty-one million, two hundred twenty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 512 640 800 1280 1600 2560 3200 6400 12800 19073533 38147066 76294132 95367665 152588264 190735330 305176528 381470660 476838325 610353056 762941320 953676650 1220706112 1525882640 1907353300 2441412224 3051765280 3814706600 4882824448 6103530560 7629413200 9765648896 12207061120 15258826400 24414122240 30517652800 48828244480 61035305600 122070611200 244141222400