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241421534640 = 24335111319311327
BaseRepresentation
bin1110000011010111011…
…0000100010110110000
3212002011002012122221000
43200311312010112300
512423412403102030
6302524005202000
723304436120446
oct3406566042660
9762132178830
10241421534640
1193428187260
123a957700300
13199c5a4cca0
14b9833a8b96
15642eb56860
hex3835d845b0

241421534640 has 1280 divisors, whose sum is σ = 1062332006400. Its totient is φ = 49492684800.

The previous prime is 241421534611. The next prime is 241421534663. The reversal of 241421534640 is 46435124142.

241421534640 is a `hidden beast` number, since 2 + 4 + 1 + 4 + 2 + 1 + 5 + 3 + 4 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 241421534595 and 241421534604.

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 255 ways as a sum of consecutive naturals, for example, 181929657 + ... + 181930983.

It is an arithmetic number, because the mean of its divisors is an integer number (829946880).

Almost surely, 2241421534640 is an apocalyptic number.

241421534640 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 241421534640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531166003200).

241421534640 is an abundant number, since it is smaller than the sum of its proper divisors (820910471760).

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

241421534640 is a wasteful number, since it uses less digits than its factorization.

241421534640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1423 (or 1411 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 241421534640 its reverse (46435124142), we get a palindrome (287856658782).

The spelling of 241421534640 in words is "two hundred forty-one billion, four hundred twenty-one million, five hundred thirty-four thousand, six hundred forty".