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314000140 = 225234116649
BaseRepresentation
bin10010101101110…
…100001100001100
3210212211212012211
4102231310030030
51120341001030
651054040204
710531646206
oct2255641414
9725755184
10314000140
11151276a53
12891a9064
13500902cc
142d9b9776
151c87712a
hex12b7430c

314000140 has 48 divisors (see below), whose sum is σ = 704894400. Its totient is φ = 117201920.

The previous prime is 314000131. The next prime is 314000153. The reversal of 314000140 is 41000413.

It is a self number, because there is not a number n which added to its sum of digits gives 314000140.

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, 10536 + ... + 27184.

It is an arithmetic number, because the mean of its divisors is an integer number (14685300).

Almost surely, 2314000140 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 314000140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352447200).

314000140 is an abundant number, since it is smaller than the sum of its proper divisors (390894260).

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

314000140 is a wasteful number, since it uses less digits than its factorization.

314000140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16722 (or 16720 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 314000140 is about 17720.0490969974. The cubic root of 314000140 is about 679.6885396012.

Adding to 314000140 its reverse (41000413), we get a palindrome (355000553).

The spelling of 314000140 in words is "three hundred fourteen million, one hundred forty", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 23 41 46 82 92 115 164 205 230 410 460 820 943 1886 3772 4715 9430 16649 18860 33298 66596 83245 166490 332980 382927 682609 765854 1365218 1531708 1914635 2730436 3413045 3829270 6826090 7658540 13652180 15700007 31400014 62800028 78500035 157000070 314000140