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4044040444440 = 233451248160631
BaseRepresentation
bin111010110110010011100…
…110000001101000011000
3112022121101010120002020000
4322312103212001220120
51012224143323210230
612333450113333000
7565113043416243
oct72662346015030
915277333502200
104044040444440
11131a082448397
12553918b67160
13234474c90609
14dda3838c25a
15702dc555b60
hex3ad93981a18

4044040444440 has 80 divisors (see below), whose sum is σ = 13592469282480. Its totient is φ = 1078410784320.

The previous prime is 4044040444403. The next prime is 4044040444579. The reversal of 4044040444440 is 444440404404.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4044040444395 and 4044040444404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 624077076 + ... + 624083555.

It is an arithmetic number, because the mean of its divisors is an integer number (169905866031).

Almost surely, 24044040444440 is an apocalyptic number.

4044040444440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4044040444440 is an abundant number, since it is smaller than the sum of its proper divisors (9548428838040).

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

4044040444440 is a wasteful number, since it uses less digits than its factorization.

4044040444440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1248160654 (or 1248160641 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 36.

Adding to 4044040444440 its reverse (444440404404), we get a palindrome (4488480848844).

The spelling of 4044040444440 in words is "four trillion, forty-four billion, forty million, four hundred forty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 1248160631 2496321262 3744481893 4992642524 6240803155 7488963786 9985285048 11233445679 12481606310 14977927572 18722409465 22466891358 24963212620 29955855144 33700337037 37444818930 44933782716 49926425240 56167228395 67400674074 74889637860 89867565432 101101011111 112334456790 134801348148 149779275720 168501685185 202202022222 224668913580 269602696296 337003370370 404404044444 449337827160 505505055555 674006740740 808808088888 1011010111110 1348013481480 2022020222220 4044040444440