Search a number
-
+
244230032442 = 23117997482899
BaseRepresentation
bin1110001101110100111…
…1101000110000111010
3212100101210220010122010
43203131033220300322
513000140342014232
6304110413110350
723434151010624
oct3433517506072
9770353803563
10244230032442
1194639539220
123b4001883b6
131a0528640c6
14bb6c3a1c14
1565464be0cc
hex38dd3e8c3a

244230032442 has 64 divisors (see below), whose sum is σ = 545174784000. Its totient is φ = 72318804480.

The previous prime is 244230032437. The next prime is 244230032447.

244230032442 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (244230032437) and next prime (244230032447).

It is not an unprimeable number, because it can be changed into a prime (244230032447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 264309 + ... + 747207.

It is an arithmetic number, because the mean of its divisors is an integer number (8518356000).

Almost surely, 2244230032442 is an apocalyptic number.

244230032442 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 244230032442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272587392000).

244230032442 is an abundant number, since it is smaller than the sum of its proper divisors (300944751558).

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

244230032442 is a wasteful number, since it uses less digits than its factorization.

244230032442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483091.

The product of its (nonzero) digits is 36864, while the sum is 30.

It can be divided in two parts, 2442300 and 32442, that added together give a palindrome (2474742).

The spelling of 244230032442 in words is "two hundred forty-four billion, two hundred thirty million, thirty-two thousand, four hundred forty-two".

Divisors: 1 2 3 6 11 22 33 66 79 97 158 194 237 291 474 582 869 1067 1738 2134 2607 3201 5214 6402 7663 15326 22989 45978 84293 168586 252879 482899 505758 965798 1448697 2897394 5311889 10623778 15935667 31871334 38149021 46841203 76298042 93682406 114447063 140523609 228894126 281047218 419639231 515253233 839278462 1030506466 1258917693 1545759699 2517835386 3091519398 3700455037 7400910074 11101365111 22202730222 40705005407 81410010814 122115016221 244230032442