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40444040040 = 23351013336967
BaseRepresentation
bin100101101010101001…
…110001001101101000
310212101121121002220220
4211222221301031220
51130312133240130
630325120050040
72631145445115
oct455251611550
9125347532826
1040444040040
1116174673988
127a08763920
133a77073551
141d5955790c
1510ba999410
hex96aa71368

40444040040 has 64 divisors (see below), whose sum is σ = 122533464960. Its totient is φ = 10678291200.

The previous prime is 40444040023. The next prime is 40444040047. The reversal of 40444040040 is 4004044404.

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

It is not an unprimeable number, because it can be changed into a prime (40444040047) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1656364 + ... + 1680603.

It is an arithmetic number, because the mean of its divisors is an integer number (1914585390).

Almost surely, 240444040040 is an apocalyptic number.

40444040040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40444040040 is an abundant number, since it is smaller than the sum of its proper divisors (82089424920).

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

40444040040 is a wasteful number, since it uses less digits than its factorization.

40444040040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3337082 (or 3337078 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 40444040040 its reverse (4004044404), we get a palindrome (44448084444).

The spelling of 40444040040 in words is "forty billion, four hundred forty-four million, forty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 101 120 202 303 404 505 606 808 1010 1212 1515 2020 2424 3030 4040 6060 12120 3336967 6673934 10010901 13347868 16684835 20021802 26695736 33369670 40043604 50054505 66739340 80087208 100109010 133478680 200218020 337033667 400436040 674067334 1011101001 1348134668 1685168335 2022202002 2696269336 3370336670 4044404004 5055505005 6740673340 8088808008 10111010010 13481346680 20222020020 40444040040