Search a number
-
+
41284341072 = 243213291395471
BaseRepresentation
bin100110011100101111…
…010000110101010000
310221120011202211020100
4212130233100311100
51134022242403242
630544334412400
72661031052262
oct463457206520
9127504684210
1041284341072
1116565a30547
128002061100
133b7c196cb0
141dd8db3b32
15111963254c
hex99cbd0d50

41284341072 has 240 divisors, whose sum is σ = 129666700800. Its totient is φ = 12174382080.

The previous prime is 41284341053. The next prime is 41284341113. The reversal of 41284341072 is 27014348214.

It is a super-2 number, since 2×412843410722 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7543297 + ... + 7548767.

It is an arithmetic number, because the mean of its divisors is an integer number (540277920).

Almost surely, 241284341072 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 41284341072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64833350400).

41284341072 is an abundant number, since it is smaller than the sum of its proper divisors (88382359728).

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

41284341072 is a wasteful number, since it uses less digits than its factorization.

41284341072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5666 (or 5657 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

Adding to 41284341072 its reverse (27014348214), we get a palindrome (68298689286).

The spelling of 41284341072 in words is "forty-one billion, two hundred eighty-four million, three hundred forty-one thousand, seventy-two".