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6243441120 = 25345768821
BaseRepresentation
bin1011101000010001…
…10101100111100000
3121010010010200010000
411310020311213200
5100241310103440
62511310340000
7310501242150
oct56410654740
917103120100
106243441120
1127142947a4
121262aba600
13786652c77
1443329c760
152681c3730
hex1742359e0

6243441120 has 240 divisors, whose sum is σ = 25182245088. Its totient is φ = 1427051520.

The previous prime is 6243441109. The next prime is 6243441121. The reversal of 6243441120 is 211443426.

It is a happy number.

6243441120 is a `hidden beast` number, since 6 + 243 + 4 + 411 + 2 + 0 = 666.

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 (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6243441121) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 56310 + ... + 125130.

Almost surely, 26243441120 is an apocalyptic number.

6243441120 is a gapful number since it is divisible by the number (60) 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 6243441120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12591122544).

6243441120 is an abundant number, since it is smaller than the sum of its proper divisors (18938803968).

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

6243441120 is a wasteful number, since it uses less digits than its factorization.

6243441120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68855 (or 68838 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 6243441120 is about 79015.4486160776. The cubic root of 6243441120 is about 1841.3711739102.

Adding to 6243441120 its reverse (211443426), we get a palindrome (6454884546).

The spelling of 6243441120 in words is "six billion, two hundred forty-three million, four hundred forty-one thousand, one hundred twenty".