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41232552144344 = 23112065272268719
BaseRepresentation
bin10010110000000001100111…
…00111111010110111011000
312101222210102110020101112122
421120000303213322313120
520401023231322104334
6223405550054200412
711453645036312501
oct1130006347726730
9171883373211478
1041232552144344
1112157699833aa0
12475b18a353108
131a0129cc03132
14a27947d93ba8
154b784760c32e
hex2580339fadd8

41232552144344 has 32 divisors (see below), whose sum is σ = 84339756748800. Its totient is φ = 18741970146720.

The previous prime is 41232552144331. The next prime is 41232552144349. The reversal of 41232552144344 is 44344125523214.

41232552144344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×412325521443442 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 41232552144295 and 41232552144304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41232552144349) 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, 17040017 + ... + 19308735.

It is an arithmetic number, because the mean of its divisors is an integer number (2635617398400).

Almost surely, 241232552144344 is an apocalyptic number.

41232552144344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

41232552144344 is an abundant number, since it is smaller than the sum of its proper divisors (43107204604456).

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

41232552144344 is a wasteful number, since it uses less digits than its factorization.

41232552144344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2475263 (or 2475259 counting only the distinct ones).

The product of its digits is 1843200, while the sum is 44.

Adding to 41232552144344 its reverse (44344125523214), we get a palindrome (85576677667558).

The spelling of 41232552144344 in words is "forty-one trillion, two hundred thirty-two billion, five hundred fifty-two million, one hundred forty-four thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 22 44 88 206527 413054 826108 1652216 2268719 2271797 4537438 4543594 9074876 9087188 18149752 18174376 24955909 49911818 99823636 199647272 468551728913 937103457826 1874206915652 3748413831304 5154069018043 10308138036086 20616276072172 41232552144344