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41223004440 = 23352531135727
BaseRepresentation
bin100110011001000101…
…010010000100011000
310221101220100121012020
4212121011102010120
51133411042120230
630534304014440
72656354520262
oct463105220430
9127356317166
1041223004440
1116534347412
127ba5601420
133b6c56c827
141dd0ba8b32
151114068810
hex999152118

41223004440 has 64 divisors (see below), whose sum is σ = 123718786560. Its totient is φ = 10988376960.

The previous prime is 41223004439. The next prime is 41223004463. The reversal of 41223004440 is 4440032214.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 41223004440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 235857 + ... + 371583.

It is an arithmetic number, because the mean of its divisors is an integer number (1933106040).

Almost surely, 241223004440 is an apocalyptic number.

41223004440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41223004440 is an abundant number, since it is smaller than the sum of its proper divisors (82495782120).

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

41223004440 is a wasteful number, since it uses less digits than its factorization.

41223004440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138272 (or 138268 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 41223004440 its reverse (4440032214), we get a palindrome (45663036654).

The spelling of 41223004440 in words is "forty-one billion, two hundred twenty-three million, four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 2531 5062 7593 10124 12655 15186 20248 25310 30372 37965 50620 60744 75930 101240 135727 151860 271454 303720 407181 542908 678635 814362 1085816 1357270 1628724 2035905 2714540 3257448 4071810 5429080 8143620 16287240 343525037 687050074 1030575111 1374100148 1717625185 2061150222 2748200296 3435250370 4122300444 5152875555 6870500740 8244600888 10305751110 13741001480 20611502220 41223004440