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4444303414100 = 22521110140002731
BaseRepresentation
bin100000010101100010100…
…1000000101001101010100
3120201212112010221200202212
41000223011020011031110
51040303413133222400
613241403530052552
7636042660500534
oct100530510051524
916655463850685
104444303414100
111463900461790
125b940427a158
13263132c327b4
141151694454c4
157a917096335
hex40ac5205354

4444303414100 has 72 divisors (see below), whose sum is σ = 10625045641056. Its totient is φ = 1600109200000.

The previous prime is 4444303414097. The next prime is 4444303414121. The reversal of 4444303414100 is 14143034444.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19890266 + ... + 20112465.

It is an arithmetic number, because the mean of its divisors is an integer number (147570078348).

Almost surely, 24444303414100 is an apocalyptic number.

It is an amenable number.

4444303414100 is an abundant number, since it is smaller than the sum of its proper divisors (6180742226956).

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

4444303414100 is a wasteful number, since it uses less digits than its factorization.

4444303414100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40002857 (or 40002850 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 4444303414100 its reverse (14143034444), we get a palindrome (4458446448544).

The spelling of 4444303414100 in words is "four trillion, four hundred forty-four billion, three hundred three million, four hundred fourteen thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 101 110 202 220 275 404 505 550 1010 1100 1111 2020 2222 2525 4444 5050 5555 10100 11110 22220 27775 55550 111100 40002731 80005462 160010924 200013655 400027310 440030041 800054620 880060082 1000068275 1760120164 2000136550 2200150205 4000273100 4040275831 4400300410 8080551662 8800600820 11000751025 16161103324 20201379155 22001502050 40402758310 44003004100 44443034141 80805516620 88886068282 101006895775 177772136564 202013791550 222215170705 404027583100 444430341410 888860682820 1111075853525 2222151707050 4444303414100