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40334410144 = 257331544001
BaseRepresentation
bin100101100100000111…
…100100000110100000
310212002222022022222101
4211210013210012200
51130101102111034
630310202220144
72625344554330
oct454407440640
9125088268871
1040334410144
11161187a5366
127997ab4654
133a5a43a7a2
141d48b7b0c0
1510b1041514
hex9641e41a0

40334410144 has 48 divisors (see below), whose sum is σ = 91026766656. Its totient is φ = 17233920000.

The previous prime is 40334410139. The next prime is 40334410163. The reversal of 40334410144 is 44101443304.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

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 7 ways as a sum of consecutive naturals, for example, 197857 + ... + 346144.

It is an arithmetic number, because the mean of its divisors is an integer number (1896390972).

Almost surely, 240334410144 is an apocalyptic number.

It is an amenable number.

40334410144 is an abundant number, since it is smaller than the sum of its proper divisors (50692356512).

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

40334410144 is a wasteful number, since it uses less digits than its factorization.

40334410144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544349 (or 544341 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 40334410144 its reverse (44101443304), we get a palindrome (84435853448).

The spelling of 40334410144 in words is "forty billion, three hundred thirty-four million, four hundred ten thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 331 662 1324 2317 2648 4634 5296 9268 10592 18536 37072 74144 544001 1088002 2176004 3808007 4352008 7616014 8704016 15232028 17408032 30464056 60928112 121856224 180064331 360128662 720257324 1260450317 1440514648 2520900634 2881029296 5041801268 5762058592 10083602536 20167205072 40334410144