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41434143444 = 223210185713297
BaseRepresentation
bin100110100101101010…
…101101101011010100
310221221121122120110100
4212211222231223110
51134324120042234
631011245254100
72664530260011
oct464552555324
9127847576410
1041434143444
1116632548261
128044264330
133ba4226c55
142010c4a708
151127873399
hex9a5aadad4

41434143444 has 72 divisors (see below), whose sum is σ = 105904686888. Its totient is φ = 13657651200.

The previous prime is 41434143389. The next prime is 41434143449. The reversal of 41434143444 is 44434143414.

41434143444 is a `hidden beast` number, since 4 + 143 + 41 + 434 + 44 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12418427844 + 29015715600 = 111438^2 + 170340^2 .

It is a super-2 number, since 2×414341434442 (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 nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 41434143399 and 41434143408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41434143449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3109404 + ... + 3122700.

It is an arithmetic number, because the mean of its divisors is an integer number (1470898429).

Almost surely, 241434143444 is an apocalyptic number.

It is an amenable number.

41434143444 is an abundant number, since it is smaller than the sum of its proper divisors (64470543444).

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

41434143444 is a wasteful number, since it uses less digits than its factorization.

41434143444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14265 (or 14260 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

Adding to 41434143444 its reverse (44434143414), we get a palindrome (85868286858).

The spelling of 41434143444 in words is "forty-one billion, four hundred thirty-four million, one hundred forty-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 101 202 303 404 606 857 909 1212 1714 1818 2571 3428 3636 5142 7713 10284 13297 15426 26594 30852 39891 53188 79782 86557 119673 159564 173114 239346 259671 346228 478692 519342 779013 1038684 1342997 1558026 2685994 3116052 4028991 5371988 8057982 11395529 12086973 16115964 22791058 24173946 34186587 45582116 48347892 68373174 102559761 136746348 205119522 410239044 1150948429 2301896858 3452845287 4603793716 6905690574 10358535861 13811381148 20717071722 41434143444