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404144441404 = 221136727539091
BaseRepresentation
bin1011110000110001110…
…00101100100000111100
31102122011112001210210121
411320120320230200330
523110141434111104
6505354505544324
741125035033364
oct5703070544074
91378145053717
10404144441404
11146440001590
12663ab1a50a4
132c159163832
14157bc7959a4
15a7a56a1254
hex5e18e2c83c

404144441404 has 48 divisors (see below), whose sum is σ = 774016943616. Its totient is φ = 183114777600.

The previous prime is 404144441399. The next prime is 404144441411.

It is a happy number.

404144441404 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 404144441404.

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, 44450899 + ... + 44459989.

It is an arithmetic number, because the mean of its divisors is an integer number (16125352992).

Almost surely, 2404144441404 is an apocalyptic number.

404144441404 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

404144441404 is a deficient number, since it is larger than the sum of its proper divisors (369872502212).

404144441404 is a wasteful number, since it uses less digits than its factorization.

404144441404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12226 (or 12224 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 34.

It can be divided in two parts, 404144 and 441404, that added together give a palindrome (845548).

The spelling of 404144441404 in words is "four hundred four billion, one hundred forty-four million, four hundred forty-one thousand, four hundred four".

Divisors: 1 2 4 11 22 44 367 734 1468 2753 4037 5506 8074 9091 11012 16148 18182 30283 36364 60566 100001 121132 200002 400004 1010351 2020702 3336397 4041404 6672794 11113861 13345588 22227722 25027523 36700367 44455444 50055046 73400734 100110092 146801468 275302753 550605506 1101211012 9185100941 18370201882 36740403764 101036110351 202072220702 404144441404