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142168312 = 231113151823
BaseRepresentation
bin10000111100101…
…01000011111000
3100220111220021001
420132111003320
5242343341222
622035054344
73344260606
oct1036250370
9326456231
10142168312
1173283180
123b7413b4
13235b9280
1414c4a876
15c733e27
hex87950f8

142168312 has 64 divisors (see below), whose sum is σ = 315624960. Its totient is φ = 59184000.

The previous prime is 142168289. The next prime is 142168337. The reversal of 142168312 is 213861241.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 172333 + ... + 173155.

It is an arithmetic number, because the mean of its divisors is an integer number (4931640).

Almost surely, 2142168312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142168312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157812480).

142168312 is an abundant number, since it is smaller than the sum of its proper divisors (173456648).

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

142168312 is a wasteful number, since it uses less digits than its factorization.

142168312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004 (or 1000 counting only the distinct ones).

The product of its digits is 2304, while the sum is 28.

The square root of 142168312 is about 11923.4354109879. The cubic root of 142168312 is about 521.9163902631.

The spelling of 142168312 in words is "one hundred forty-two million, one hundred sixty-eight thousand, three hundred twelve".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 143 151 286 302 572 604 823 1144 1208 1646 1661 1963 3292 3322 3926 6584 6644 7852 9053 10699 13288 15704 18106 21398 21593 36212 42796 43186 72424 85592 86372 117689 124273 172744 235378 248546 470756 497092 941512 994184 1367003 1615549 2734006 3231098 5468012 6462196 10936024 12924392 17771039 35542078 71084156 142168312