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244241310400 = 2652152650819
BaseRepresentation
bin1110001101110111101…
…0101010001011000000
3212100102121010010002021
43203131322222023000
513000201233413100
6304111454531224
723434345612153
oct3433572521300
9770377103067
10244241310400
119464494154a
123b403b06b14
131a054cb2559
14bb6da99c9a
15654749aa1a
hex38ddeaa2c0

244241310400 has 42 divisors (see below), whose sum is σ = 600986278340. Its totient is φ = 97696523520.

The previous prime is 244241310377. The next prime is 244241310433. The reversal of 244241310400 is 4013142442.

244241310400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 76323810 + ... + 76327009.

Almost surely, 2244241310400 is an apocalyptic number.

244241310400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

244241310400 is an abundant number, since it is smaller than the sum of its proper divisors (356744967940).

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

244241310400 is a wasteful number, since it uses less digits than its factorization.

244241310400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152650841 (or 152650826 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 244241310400 its reverse (4013142442), we get a palindrome (248254452842).

The spelling of 244241310400 in words is "two hundred forty-four billion, two hundred forty-one million, three hundred ten thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1600 152650819 305301638 610603276 763254095 1221206552 1526508190 2442413104 3053016380 3816270475 4884826208 6106032760 7632540950 9769652416 12212065520 15265081900 24424131040 30530163800 48848262080 61060327600 122120655200 244241310400