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441200043240 = 2335111727172551
BaseRepresentation
bin1100110101110011001…
…00100110010011101000
31120011210222201102100020
412122321210212103220
524212034202340430
6534403504040440
743606230330105
oct6327144462350
91504728642306
10441200043240
11160125a16710
1271611003120
13327b31cb958
14174d5cb1aac
15b723928b10
hex66b99264e8

441200043240 has 256 divisors, whose sum is σ = 1534527037440. Its totient is φ = 100293120000.

The previous prime is 441200043227. The next prime is 441200043283. The reversal of 441200043240 is 42340002144.

It is a happy number.

It is a super-3 number, since 3×4412000432403 (a number of 36 digits) contains 333 as substring.

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 441200043240.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6044965 + ... + 6117515.

It is an arithmetic number, because the mean of its divisors is an integer number (5994246240).

Almost surely, 2441200043240 is an apocalyptic number.

441200043240 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 441200043240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (767263518720).

441200043240 is an abundant number, since it is smaller than the sum of its proper divisors (1093326994200).

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

441200043240 is a wasteful number, since it uses less digits than its factorization.

441200043240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72864 (or 72860 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 441200043240 its reverse (42340002144), we get a palindrome (483540045384).

The spelling of 441200043240 in words is "four hundred forty-one billion, two hundred million, forty-three thousand, two hundred forty".