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441487784144 = 24113180917849
BaseRepresentation
bin1100110110010101011…
…10001111100011010000
31120012120001011011122202
412123022232033203100
524213131333043034
6534452223222332
743616323150631
oct6331256174320
91505501134582
10441487784144
11160263387710
12716914479a8
133282a9c6844
14175221b3888
15b73dd1547e
hex66cab8f8d0

441487784144 has 40 divisors (see below), whose sum is σ = 963246086400. Its totient is φ = 194202835200.

The previous prime is 441487784137. The next prime is 441487784191.

441487784144 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4414877841442 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 441487784144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40453469 + ... + 40464380.

It is an arithmetic number, because the mean of its divisors is an integer number (24081152160).

Almost surely, 2441487784144 is an apocalyptic number.

441487784144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

441487784144 is an abundant number, since it is smaller than the sum of its proper divisors (521758302256).

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

441487784144 is a wasteful number, since it uses less digits than its factorization.

441487784144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80917899 (or 80917893 counting only the distinct ones).

The product of its digits is 12845056, while the sum is 56.

The spelling of 441487784144 in words is "four hundred forty-one billion, four hundred eighty-seven million, seven hundred eighty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 31 44 62 88 124 176 248 341 496 682 1364 2728 5456 80917849 161835698 323671396 647342792 890096339 1294685584 1780192678 2508453319 3560385356 5016906638 7120770712 10033813276 14241541424 20067626552 27592986509 40135253104 55185973018 110371946036 220743892072 441487784144