Search a number
-
+
244301422304 = 2529907290249
BaseRepresentation
bin1110001110000101111…
…1111101111011100000
3212100120210020010010002
43203201133331323200
513000312131003204
6304121443155132
723436005553422
oct3434137757340
9770523203102
10244301422304
1194675869505
123b420075aa8
131a06459b424
14bb77a66812
15654c8c191e
hex38e17fdee0

244301422304 has 48 divisors (see below), whose sum is σ = 498103830000. Its totient is φ = 117808180224.

The previous prime is 244301422301. The next prime is 244301422327. The reversal of 244301422304 is 403224103442.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (244301422301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 696572 + ... + 986820.

It is an arithmetic number, because the mean of its divisors is an integer number (10377163125).

Almost surely, 2244301422304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 244301422304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249051915000).

244301422304 is an abundant number, since it is smaller than the sum of its proper divisors (253802407696).

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

244301422304 is a wasteful number, since it uses less digits than its factorization.

244301422304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291195 (or 291187 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 244301422304 its reverse (403224103442), we get a palindrome (647525525746).

The spelling of 244301422304 in words is "two hundred forty-four billion, three hundred one million, four hundred twenty-two thousand, three hundred four".

Divisors: 1 2 4 8 16 29 32 58 116 232 464 907 928 1814 3628 7256 14512 26303 29024 52606 105212 210424 290249 420848 580498 841696 1160996 2321992 4643984 8417221 9287968 16834442 33668884 67337768 134675536 263255843 269351072 526511686 1053023372 2106046744 4212093488 7634419447 8424186976 15268838894 30537677788 61075355576 122150711152 244301422304