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441404252688 = 24371313703133
BaseRepresentation
bin1100110110001011011…
…11100110001000010000
31120012100012222100001010
412123011233212020100
524212443442041223
6534440041010520
743614260145660
oct6330557461020
91505305870033
10441404252688
11160220214253
1271669483a40
13328165cac49
141751506c1a0
15b736815393
hex66c5be6210

441404252688 has 40 divisors (see below), whose sum is σ = 1303193508928. Its totient is φ = 126115500672.

The previous prime is 441404252669. The next prime is 441404252689. The reversal of 441404252688 is 886252404144.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (441404252689) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 656851231 + ... + 656851902.

Almost surely, 2441404252688 is an apocalyptic number.

441404252688 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

441404252688 is an abundant number, since it is smaller than the sum of its proper divisors (861789256240).

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

441404252688 is a wasteful number, since it uses less digits than its factorization.

441404252688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1313703151 (or 1313703145 counting only the distinct ones).

The product of its (nonzero) digits is 1966080, while the sum is 48.

The spelling of 441404252688 in words is "four hundred forty-one billion, four hundred four million, two hundred fifty-two thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 1313703133 2627406266 3941109399 5254812532 7882218798 9195921931 10509625064 15764437596 18391843862 21019250128 27587765793 31528875192 36783687724 55175531586 63057750384 73567375448 110351063172 147134750896 220702126344 441404252688