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442254216250140 = 223571052986229167
BaseRepresentation
bin110010010001110100101010…
…1011101011100001100011100
32010222220002102201202112102020
41210203221111131130030130
5430431343113330001030
64204332440540500140
7162103545520665360
oct14443512535341434
92128802381675366
10442254216250140
11118a08a61590948
12417279b624a650
1315ca0516ab3b18
147b2d30ad4b2a0
15361e0a8d81510
hex1923a5575c31c

442254216250140 has 48 divisors (see below), whose sum is σ = 1415213492001792. Its totient is φ = 101086677999936.

The previous prime is 442254216250123. The next prime is 442254216250151. The reversal of 442254216250140 is 41052612452244.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 442254216250092 and 442254216250101.

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, 526493114164 + ... + 526493115003.

It is an arithmetic number, because the mean of its divisors is an integer number (29483614416704).

Almost surely, 2442254216250140 is an apocalyptic number.

It is an amenable number.

442254216250140 is an abundant number, since it is smaller than the sum of its proper divisors (972959275751652).

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

442254216250140 is a wasteful number, since it uses less digits than its factorization.

442254216250140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1052986229186 (or 1052986229184 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 42.

The spelling of 442254216250140 in words is "four hundred forty-two trillion, two hundred fifty-four billion, two hundred sixteen million, two hundred fifty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 1052986229167 2105972458334 3158958687501 4211944916668 5264931145835 6317917375002 7370903604169 10529862291670 12635834750004 14741807208338 15794793437505 21059724583340 22112710812507 29483614416676 31589586875010 36854518020845 44225421625014 63179173750020 73709036041690 88450843250028 110563554062535 147418072083380 221127108125070 442254216250140