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2440941017130 = 23257112383918253
BaseRepresentation
bin100011100001010011011…
…011000001100000101010
322122100111101011101021200
4203201103123001200222
5304443021400022010
65105204113145030
7341231536211040
oct43412333014052
98570441141250
102440941017130
11861219629330
123350a225b176
13149244bb0125
14861dc1b6390
1543763cdccc0
hex238536c182a

2440941017130 has 384 divisors, whose sum is σ = 8266766376960. Its totient is φ = 484551175680.

The previous prime is 2440941017089. The next prime is 2440941017167. The reversal of 2440941017130 is 317101490442.

2440941017130 is a `hidden beast` number, since 2 + 4 + 40 + 9 + 410 + 171 + 30 = 666.

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 191 ways as a sum of consecutive naturals, for example, 133719084 + ... + 133737336.

It is an arithmetic number, because the mean of its divisors is an integer number (21528037440).

Almost surely, 22440941017130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2440941017130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4133383188480).

2440941017130 is an abundant number, since it is smaller than the sum of its proper divisors (5825825359830).

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

2440941017130 is a wasteful number, since it uses less digits than its factorization.

2440941017130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19146 (or 19143 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 2440941017130 in words is "two trillion, four hundred forty billion, nine hundred forty-one million, seventeen thousand, one hundred thirty".