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241332131040 = 2535711131014973
BaseRepresentation
bin1110000011000010000…
…1000001010011100000
3212001220211222111020120
43200300201001103200
512423222011143130
6302511053040240
723302302160530
oct3406041012340
9761824874216
10241332131040
1193391772a90
123a931786080
13199b0379650
14b9755754c0
156426d96910
hex38308414e0

241332131040 has 768 divisors, whose sum is σ = 1030996076544. Its totient is φ = 45821952000.

The previous prime is 241332131011. The next prime is 241332131041. The reversal of 241332131040 is 40131233142.

It is a happy number.

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 241332131040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241332131041) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 48525994 + ... + 48530966.

It is an arithmetic number, because the mean of its divisors is an integer number (1342442808).

Almost surely, 2241332131040 is an apocalyptic number.

241332131040 is a gapful number since it is divisible by the number (20) 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 241332131040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515498038272).

241332131040 is an abundant number, since it is smaller than the sum of its proper divisors (789663945504).

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

241332131040 is a wasteful number, since it uses less digits than its factorization.

241332131040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5123 (or 5115 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 241332131040 its reverse (40131233142), we get a palindrome (281463364182).

The spelling of 241332131040 in words is "two hundred forty-one billion, three hundred thirty-two million, one hundred thirty-one thousand, forty".