Search a number
-
+
444441332013340 = 225293202937379611
BaseRepresentation
bin110010100001101111000111…
…1101101111101100100011100
32011021122011202120221000200011
41211003132033231331210130
5431223211321443411330
64213125310154013004
7162420553345150024
oct14503361755754434
92137564676830604
10444441332013340
111196815683a6042
1241a1b85aa17164
13160cb83a267cac
147ba710a688a84
15365ae140eb82a
hex194378fb7d91c

444441332013340 has 48 divisors (see below), whose sum is σ = 936973801421280. Its totient is φ = 177082463450880.

The previous prime is 444441332013331. The next prime is 444441332013353. The reversal of 444441332013340 is 43310233144444.

It is a junction number, because it is equal to n+sod(n) for n = 444441332013293 and 444441332013302.

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, 6799866 + ... + 30579745.

It is an arithmetic number, because the mean of its divisors is an integer number (19520287529610).

Almost surely, 2444441332013340 is an apocalyptic number.

It is an amenable number.

444441332013340 is an abundant number, since it is smaller than the sum of its proper divisors (492532469407940).

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

444441332013340 is a wasteful number, since it uses less digits than its factorization.

444441332013340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37381942 (or 37381940 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 40.

Adding to 444441332013340 its reverse (43310233144444), we get a palindrome (487751565157784).

The spelling of 444441332013340 in words is "four hundred forty-four trillion, four hundred forty-one billion, three hundred thirty-two million, thirteen thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 293 586 1172 1465 2029 2930 4058 5860 8116 10145 20290 40580 594497 1188994 2377988 2972485 5944970 11889940 37379611 74759222 149518444 186898055 373796110 747592220 10952226023 21904452046 43808904092 54761130115 75843230719 109522260230 151686461438 219044520460 303372922876 379216153595 758432307190 1516864614380 22222066600667 44444133201334 88888266402668 111110333003335 222220666006670 444441332013340