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142665141630 = 235112631643797
BaseRepresentation
bin1000010011011110000…
…0010100110101111110
3111122020120122002202110
42010313200110311332
54314134234013010
6145312305034450
713210242460344
oct2046740246576
9448216562673
10142665141630
115555a831530
1223796325a26
13105b7a9228b
146c95589994
153a9ebbd120
hex2137814d7e

142665141630 has 64 divisors (see below), whose sum is σ = 374943748608. Its totient is φ = 34453964160.

The previous prime is 142665141623. The next prime is 142665141631. The reversal of 142665141630 is 36141566241.

142665141630 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142665141631) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 735109 + ... + 908688.

It is an arithmetic number, because the mean of its divisors is an integer number (5858496072).

Almost surely, 2142665141630 is an apocalyptic number.

142665141630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

142665141630 is an abundant number, since it is smaller than the sum of its proper divisors (232278606978).

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

142665141630 is a wasteful number, since it uses less digits than its factorization.

142665141630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1644081.

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 142665141630 in words is "one hundred forty-two billion, six hundred sixty-five million, one hundred forty-one thousand, six hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 263 330 526 789 1315 1578 2630 2893 3945 5786 7890 8679 14465 17358 28930 43395 86790 1643797 3287594 4931391 8218985 9862782 16437970 18081767 24656955 36163534 49313910 54245301 90408835 108490602 180817670 271226505 432318611 542453010 864637222 1296955833 2161593055 2593911666 4323186110 4755504721 6484779165 9511009442 12969558330 14266514163 23777523605 28533028326 47555047210 71332570815 142665141630