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444040331130 = 233511149508529
BaseRepresentation
bin1100111011000101101…
…11011011111101111010
31120110010221012222212000
412131202313123331322
524233343311044010
6535553405201430
744036506352604
oct6354267337572
91513127188760
10444040331130
11161353210a80
1272084260276
1332b46793786
14176c51c2174
15b83ce707c0
hex6762ddbf7a

444040331130 has 64 divisors (see below), whose sum is σ = 1291753699200. Its totient is φ = 107646140160.

The previous prime is 444040331087. The next prime is 444040331131. The reversal of 444040331130 is 31133040444.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 444040331094 and 444040331103.

It is not an unprimeable number, because it can be changed into a prime (444040331131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74751295 + ... + 74757234.

It is an arithmetic number, because the mean of its divisors is an integer number (20183651550).

Almost surely, 2444040331130 is an apocalyptic number.

444040331130 is an abundant number, since it is smaller than the sum of its proper divisors (847713368070).

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

444040331130 is a wasteful number, since it uses less digits than its factorization.

444040331130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149508556 (or 149508550 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 444040331130 its reverse (31133040444), we get a palindrome (475173371574).

The spelling of 444040331130 in words is "four hundred forty-four billion, forty million, three hundred thirty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 135 165 198 270 297 330 495 594 990 1485 2970 149508529 299017058 448525587 747542645 897051174 1345576761 1495085290 1644593819 2242627935 2691153522 3289187638 4036730283 4485255870 4933781457 6727883805 8073460566 8222969095 9867562914 13455767610 14801344371 16445938190 20183651415 24668907285 29602688742 40367302830 44404033113 49337814570 74006721855 88808066226 148013443710 222020165565 444040331130