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331142994 = 232713215551
BaseRepresentation
bin10011101111001…
…101011101010010
3212002002210210100
4103233031131102
51134233033434
652505313230
711130445320
oct2357153522
9762083710
10331142994
1115aa156a6
1292a95816
13537b3100
1431d9cd10
151e111699
hex13bcd752

331142994 has 72 divisors (see below), whose sum is σ = 887956992. Its totient is φ = 87328800.

The previous prime is 331142971. The next prime is 331143047. The reversal of 331142994 is 499241133.

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 35 ways as a sum of consecutive naturals, for example, 13519 + ... + 29069.

It is an arithmetic number, because the mean of its divisors is an integer number (12332736).

Almost surely, 2331142994 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331142994, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443978496).

331142994 is an abundant number, since it is smaller than the sum of its proper divisors (556813998).

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

331142994 is a wasteful number, since it uses less digits than its factorization.

331142994 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15592 (or 15576 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 331142994 is about 18197.3348048554. The cubic root of 331142994 is about 691.8392392217.

The spelling of 331142994 in words is "three hundred thirty-one million, one hundred forty-two thousand, nine hundred ninety-four".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 169 182 234 273 338 507 546 819 1014 1183 1521 1638 2366 3042 3549 7098 10647 15551 21294 31102 46653 93306 108857 139959 202163 217714 279918 326571 404326 606489 653142 979713 1212978 1415141 1819467 1959426 2628119 2830282 3638934 4245423 5256238 7884357 8490846 12736269 15768714 18396833 23653071 25472538 36793666 47306142 55190499 110380998 165571497 331142994