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442314403125 = 35576740029
BaseRepresentation
bin1100110111110111111…
…11100010110100110101
31120021200122120202201120
412123323333202310311
524221324441400000
6535110232414153
743645651251540
oct6337377426465
91507618522646
10442314403125
11160647a497a1
1271882247359
13329300397ba
141759dcab857
15b78b6996a0
hex66fbfe2d35

442314403125 has 48 divisors (see below), whose sum is σ = 842449829760. Its totient is φ = 202200840000.

The previous prime is 442314403123. The next prime is 442314403133. The reversal of 442314403125 is 521304413244.

It is not a de Polignac number, because 442314403125 - 21 = 442314403123 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442314403121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3304390 + ... + 3435639.

It is an arithmetic number, because the mean of its divisors is an integer number (17551038120).

Almost surely, 2442314403125 is an apocalyptic number.

It is an amenable number.

442314403125 is a deficient number, since it is larger than the sum of its proper divisors (400135426635).

442314403125 is an frugal number, since it uses more digits than its factorization.

442314403125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6740064 (or 6740044 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

Adding to 442314403125 its reverse (521304413244), we get a palindrome (963618816369).

The spelling of 442314403125 in words is "four hundred forty-two billion, three hundred fourteen million, four hundred three thousand, one hundred twenty-five".

Divisors: 1 3 5 7 15 21 25 35 75 105 125 175 375 525 625 875 1875 2625 3125 4375 9375 13125 21875 65625 6740029 20220087 33700145 47180203 101100435 141540609 168500725 235901015 505502175 707703045 842503625 1179505075 2527510875 3538515225 4212518125 5897525375 12637554375 17692576125 21062590625 29487626875 63187771875 88462880625 147438134375 442314403125