Search a number
-
+
41330422433300 = 22527111310110613853
BaseRepresentation
bin10010110010110111111010…
…01001011100011000010100
312102100011001012110012110112
421121123331021130120110
520404124201120331200
6223522533422142152
711464011253121060
oct1131337511343024
9172304035405415
1041330422433300
1112195151a88720
124776142a21958
131a0a599421410
14a2c590232aa0
154ba1748b1535
hex2596fd25c614

41330422433300 has 576 divisors, whose sum is σ = 121757410027008. Its totient is φ = 11759385600000.

The previous prime is 41330422433297. The next prime is 41330422433303. The reversal of 41330422433300 is 333422403314.

41330422433300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (41330422433297) and next prime (41330422433303).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41330422433303) 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 191 ways as a sum of consecutive naturals, for example, 10726814174 + ... + 10726818026.

It is an arithmetic number, because the mean of its divisors is an integer number (211384392408).

Almost surely, 241330422433300 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 41330422433300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60878705013504).

41330422433300 is an abundant number, since it is smaller than the sum of its proper divisors (80426987593708).

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

41330422433300 is a wasteful number, since it uses less digits than its factorization.

41330422433300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5060 (or 5053 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 32.

Adding to 41330422433300 its reverse (333422403314), we get a palindrome (41663844836614).

The spelling of 41330422433300 in words is "forty-one trillion, three hundred thirty billion, four hundred twenty-two million, four hundred thirty-three thousand, three hundred".