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241939616100 = 223527134324793
BaseRepresentation
bin1110000101010010111…
…0011001000101100100
3212010111012001221002020
43201110232121011210
512430443020203400
6303051233343140
723323326543150
oct3412456310544
9763435057066
10241939616100
1193673673556
123aa81107ab0
1319a79196170
14b9d210a060
1564603922a0
hex3854b99164

241939616100 has 432 divisors, whose sum is σ = 882239283072. Its totient is φ = 49849067520.

The previous prime is 241939616041. The next prime is 241939616123. The reversal of 241939616100 is 1616939142.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 143 ways as a sum of consecutive naturals, for example, 50475304 + ... + 50480096.

Almost surely, 2241939616100 is an apocalyptic number.

241939616100 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 241939616100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441119641536).

241939616100 is an abundant number, since it is smaller than the sum of its proper divisors (640299666972).

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

241939616100 is a wasteful number, since it uses less digits than its factorization.

241939616100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4916 (or 4866 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 42.

The spelling of 241939616100 in words is "two hundred forty-one billion, nine hundred thirty-nine million, six hundred sixteen thousand, one hundred".