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142917418140 = 22357340279567
BaseRepresentation
bin1000010100011010001…
…0101011110010011100
3111122220011100002001220
42011012202223302130
54320143324340030
6145353320133340
713216425003360
oct2050642536234
9448804302056
10142917418140
115567a17a612
1223846907250
1310628120c13
146cbac992a0
153ab6e01a10
hex21468abc9c

142917418140 has 48 divisors (see below), whose sum is σ = 457335739392. Its totient is φ = 32666838336.

The previous prime is 142917418129. The next prime is 142917418159. The reversal of 142917418140 is 41814719241.

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 = 142917418092 and 142917418101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 170139364 + ... + 170140203.

It is an arithmetic number, because the mean of its divisors is an integer number (9527827904).

Almost surely, 2142917418140 is an apocalyptic number.

142917418140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142917418140 is an abundant number, since it is smaller than the sum of its proper divisors (314418321252).

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

142917418140 is a wasteful number, since it uses less digits than its factorization.

142917418140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340279586 (or 340279584 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 42.

The spelling of 142917418140 in words is "one hundred forty-two billion, nine hundred seventeen million, four hundred eighteen 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 340279567 680559134 1020838701 1361118268 1701397835 2041677402 2381956969 3402795670 4083354804 4763913938 5104193505 6805591340 7145870907 9527827876 10208387010 11909784845 14291741814 20416774020 23819569690 28583483628 35729354535 47639139380 71458709070 142917418140