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441556655144 = 23117621658403
BaseRepresentation
bin1100110110011101101…
…00111101110000101000
31120012201211202011220112
412123032310331300220
524213302000431034
6534503123313452
743621120433003
oct6331664756050
91505654664815
10441556655144
111602992474a0
12716b051b888
133283c05b507
141752b3c053a
15b744dbb7ce
hex66ced3dc28

441556655144 has 32 divisors (see below), whose sum is σ = 903303951840. Its totient is φ = 200680929600.

The previous prime is 441556655117. The next prime is 441556655159.

441556655144 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 441556655092 and 441556655101.

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, 341447 + ... + 999849.

It is an arithmetic number, because the mean of its divisors is an integer number (28228248495).

Almost surely, 2441556655144 is an apocalyptic number.

441556655144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

441556655144 is an abundant number, since it is smaller than the sum of its proper divisors (461747296696).

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

441556655144 is a wasteful number, since it uses less digits than its factorization.

441556655144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666041 (or 666037 counting only the distinct ones).

The product of its digits is 5760000, while the sum is 50.

The spelling of 441556655144 in words is "four hundred forty-one billion, five hundred fifty-six million, six hundred fifty-five thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 22 44 88 7621 15242 30484 60968 83831 167662 335324 658403 670648 1316806 2633612 5267224 7242433 14484866 28969732 57939464 5017689263 10035378526 20070757052 40141514104 55194581893 110389163786 220778327572 441556655144