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142742166 = 23717316449
BaseRepresentation
bin10001000001000…
…01001010010110
3100221121001102220
420200201022112
5243020222131
622055243210
73352200630
oct1040411226
9327531386
10142742166
1173635336
123b979506
132375a528
1414d59a50
15c7e8e96
hex8821296

142742166 has 64 divisors (see below), whose sum is σ = 356659200. Its totient is φ = 37140480.

The previous prime is 142742141. The next prime is 142742203. The reversal of 142742166 is 661247241.

142742166 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18910 + ... + 25358.

It is an arithmetic number, because the mean of its divisors is an integer number (5572800).

Almost surely, 2142742166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142742166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178329600).

142742166 is an abundant number, since it is smaller than the sum of its proper divisors (213917034).

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

142742166 is a wasteful number, since it uses less digits than its factorization.

142742166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6509.

The product of its digits is 16128, while the sum is 33.

The square root of 142742166 is about 11947.4752981540. The cubic root of 142742166 is about 522.6176757764.

The spelling of 142742166 in words is "one hundred forty-two million, seven hundred forty-two thousand, one hundred sixty-six".

Divisors: 1 2 3 6 7 14 17 21 31 34 42 51 62 93 102 119 186 217 238 357 434 527 651 714 1054 1302 1581 3162 3689 6449 7378 11067 12898 19347 22134 38694 45143 90286 109633 135429 199919 219266 270858 328899 399838 599757 657798 767431 1199514 1399433 1534862 2302293 2798866 3398623 4198299 4604586 6797246 8396598 10195869 20391738 23790361 47580722 71371083 142742166