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441314021040 = 24352636991667
BaseRepresentation
bin1100110110000000101…
…11011000111010110000
31120012002221012002111020
412123000113120322300
524212302342133130
6534423055015440
743612113166644
oct6330027307260
91505087162436
10441314021040
11160184294942
127164320a580
13328009c7739
14175070a0c24
15b72d93ee10
hex66c05d8eb0

441314021040 has 80 divisors (see below), whose sum is σ = 1373275461888. Its totient is φ = 117236255488.

The previous prime is 441314021009. The next prime is 441314021047. The reversal of 441314021040 is 40120413144.

It is a tau number, because it is divible by the number of its divisors (80).

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 441314021040.

It is not an unprimeable number, because it can be changed into a prime (441314021047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3432714 + ... + 3558953.

Almost surely, 2441314021040 is an apocalyptic number.

441314021040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

441314021040 is an abundant number, since it is smaller than the sum of its proper divisors (931961440848).

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

441314021040 is a wasteful number, since it uses less digits than its factorization.

441314021040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6991946 (or 6991940 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 441314021040 its reverse (40120413144), we get a palindrome (481434434184).

The spelling of 441314021040 in words is "four hundred forty-one billion, three hundred fourteen million, twenty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 263 526 789 1052 1315 1578 2104 2630 3156 3945 4208 5260 6312 7890 10520 12624 15780 21040 31560 63120 6991667 13983334 20975001 27966668 34958335 41950002 55933336 69916670 83900004 104875005 111866672 139833340 167800008 209750010 279666680 335600016 419500020 559333360 839000040 1678000080 1838808421 3677616842 5516425263 7355233684 9194042105 11032850526 14710467368 18388084210 22065701052 27582126315 29420934736 36776168420 44131402104 55164252630 73552336840 88262804208 110328505260 147104673680 220657010520 441314021040