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142066314 = 232131771503
BaseRepresentation
bin10000111011111…
…00001010001010
3100220022201100100
420131330022022
5242332110224
622032550230
73343354335
oct1035741212
9326281310
10142066314
1173213585
123b6b2376
1323581a10
1414c2161c
15c713ac9
hex877c28a

142066314 has 96 divisors (see below), whose sum is σ = 356638464. Its totient is φ = 40481280.

The previous prime is 142066307. The next prime is 142066321. The reversal of 142066314 is 413660241.

142066314 is a `hidden beast` number, since 1 + 4 + 20 + 6 + 631 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (142066307) and next prime (142066321).

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 47 ways as a sum of consecutive naturals, for example, 282187 + ... + 282689.

It is an arithmetic number, because the mean of its divisors is an integer number (3714984).

Almost surely, 2142066314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142066314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178319232).

142066314 is an abundant number, since it is smaller than the sum of its proper divisors (214572150).

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

142066314 is a wasteful number, since it uses less digits than its factorization.

142066314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 142066314 is about 11919.1574366647. The cubic root of 142066314 is about 521.7915448991.

The spelling of 142066314 in words is "one hundred forty-two million, sixty-six thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 13 17 18 26 34 39 51 71 78 102 117 142 153 213 221 234 306 426 442 503 639 663 923 1006 1207 1278 1326 1509 1846 1989 2414 2769 3018 3621 3978 4527 5538 6539 7242 8307 8551 9054 10863 13078 15691 16614 17102 19617 21726 25653 31382 35713 39234 47073 51306 58851 71426 76959 94146 107139 111163 117702 141219 153918 214278 222326 282438 321417 333489 464269 607121 642834 666978 928538 1000467 1214242 1392807 1821363 2000934 2785614 3642726 4178421 5464089 7892573 8356842 10928178 15785146 23677719 47355438 71033157 142066314