Search a number
-
+
444460064444 = 221123870750441
BaseRepresentation
bin1100111011110111110…
…00100101111010111100
31120111020012000122201022
412131323320211322330
524240223234030234
6540103201403312
744053064133104
oct6357370457274
91514205018638
10444460064444
11161549134910
1272180939538
1332bb2723c96
1417724c42204
15b864c30e2e
hex677be25ebc

444460064444 has 48 divisors (see below), whose sum is σ = 885525854976. Its totient is φ = 193217481600.

The previous prime is 444460064383. The next prime is 444460064453.

444460064444 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 444460064395 and 444460064404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8786264 + ... + 8836704.

It is an arithmetic number, because the mean of its divisors is an integer number (18448455312).

Almost surely, 2444460064444 is an apocalyptic number.

444460064444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

444460064444 is a deficient number, since it is larger than the sum of its proper divisors (441065790532).

444460064444 is a wasteful number, since it uses less digits than its factorization.

444460064444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59186 (or 59184 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 44.

The spelling of 444460064444 in words is "four hundred forty-four billion, four hundred sixty million, sixty-four thousand, four hundred forty-four".

Divisors: 1 2 4 11 22 23 44 46 92 253 506 1012 8707 17414 34828 50441 95777 100882 191554 200261 201764 383108 400522 554851 801044 1109702 1160143 2202871 2219404 2320286 4405742 4640572 8811484 12761573 25523146 51046292 439189787 878379574 1756759148 4831087657 9662175314 10101365101 19324350628 20202730202 40405460404 111115016111 222230032222 444460064444