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133302341040 = 24351124999199
BaseRepresentation
bin111110000100101110…
…0000100110110110000
3110202002001212112220020
41330021130010312300
54141000344403130
6141123243443440
712426233126541
oct1741134046660
9422061775806
10133302341040
1151595772900
1221a02826580
13c7550c659b
146647cd44c8
153702c29e10
hex1f09704db0

133302341040 has 240 divisors, whose sum is σ = 455179200000. Its totient is φ = 32247452160.

The previous prime is 133302340991. The next prime is 133302341041. The reversal of 133302341040 is 40143203331.

It is a tau number, because it is divible by the number of its divisors (240).

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 133302341040.

It is not an unprimeable number, because it can be changed into a prime (133302341041) 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 47 ways as a sum of consecutive naturals, for example, 14486361 + ... + 14495559.

It is an arithmetic number, because the mean of its divisors is an integer number (1896580000).

Almost surely, 2133302341040 is an apocalyptic number.

133302341040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133302341040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227589600000).

133302341040 is an abundant number, since it is smaller than the sum of its proper divisors (321876858960).

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

133302341040 is a wasteful number, since it uses less digits than its factorization.

133302341040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9736 (or 9719 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 133302341040 its reverse (40143203331), we get a palindrome (173445544371).

The spelling of 133302341040 in words is "one hundred thirty-three billion, three hundred two million, three hundred forty-one thousand, forty".