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441320130240 = 263511101413779
BaseRepresentation
bin1100110110000001011…
…10101100011011000000
31120012010100200110201220
412123000232230123000
524212310423131430
6534423433555040
743612216133013
oct6330056543300
91505110613656
10441320130240
11160187787870
1271645275a80
1332802056352
1417507c1137a
15b72e24a110
hex66c0bac6c0

441320130240 has 224 divisors, whose sum is σ = 1543710562560. Its totient is φ = 105927168000.

The previous prime is 441320130221. The next prime is 441320130241. The reversal of 441320130240 is 42031023144.

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 441320130240.

It is not an unprimeable number, because it can be changed into a prime (441320130241) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 859671 + ... + 1273449.

Almost surely, 2441320130240 is an apocalyptic number.

441320130240 is a gapful number since it is divisible by the number (40) 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 441320130240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771855281280).

441320130240 is an abundant number, since it is smaller than the sum of its proper divisors (1102390432320).

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

441320130240 is a wasteful number, since it uses less digits than its factorization.

441320130240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413911 (or 413901 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 441320130240 its reverse (42031023144), we get a palindrome (483351153384).

The spelling of 441320130240 in words is "four hundred forty-one billion, three hundred twenty million, one hundred thirty thousand, two hundred forty".