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241335120540 = 22354022252009
BaseRepresentation
bin1110000011000010110…
…0011011001010011100
3212001221001121101001210
43200300230123022130
512423223242324130
6302511241104420
723302336451343
oct3406054331234
9761831541053
10241335120540
1193393425048
123a932788110
13199b0b85297
14b975b12b5a
1564272875b0
hex3830b1b29c

241335120540 has 24 divisors (see below), whose sum is σ = 675738337680. Its totient is φ = 64356032128.

The previous prime is 241335120517. The next prime is 241335120589. The reversal of 241335120540 is 45021533142.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 241335120498 and 241335120507.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 2011125945 + ... + 2011126064.

It is an arithmetic number, because the mean of its divisors is an integer number (28155764070).

Almost surely, 2241335120540 is an apocalyptic number.

241335120540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

241335120540 is an abundant number, since it is smaller than the sum of its proper divisors (434403217140).

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

241335120540 is a wasteful number, since it uses less digits than its factorization.

241335120540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4022252021 (or 4022252019 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 241335120540 its reverse (45021533142), we get a palindrome (286356653682).

The spelling of 241335120540 in words is "two hundred forty-one billion, three hundred thirty-five million, one hundred twenty thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 4022252009 8044504018 12066756027 16089008036 20111260045 24133512054 40222520090 48267024108 60333780135 80445040180 120667560270 241335120540