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241136990640 = 2432571319193703
BaseRepresentation
bin1110000010010011100…
…0100111100110110000
3212001102020210022221100
43200210320213212300
512422322032200030
6302435442324400
723264412413220
oct3404470474660
9761366708840
10241136990640
11932a15aa127
123a898359700
131997bb04260
14b95769a080
156414b9c360
hex3824e279b0

241136990640 has 480 divisors, whose sum is σ = 1049162849280. Its totient is φ = 48199256064.

The previous prime is 241136990623. The next prime is 241136990711. The reversal of 241136990640 is 46099631142.

241136990640 is a `hidden beast` number, since 241 + 1 + 369 + 9 + 0 + 6 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 1148029 + ... + 1341731.

It is an arithmetic number, because the mean of its divisors is an integer number (2185755936).

Almost surely, 2241136990640 is an apocalyptic number.

241136990640 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 241136990640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524581424640).

241136990640 is an abundant number, since it is smaller than the sum of its proper divisors (808025858640).

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

241136990640 is a wasteful number, since it uses less digits than its factorization.

241136990640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193761 (or 193752 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 241136990640 in words is "two hundred forty-one billion, one hundred thirty-six million, nine hundred ninety thousand, six hundred forty".