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314240032044 = 223267564723071
BaseRepresentation
bin1001001001010100010…
…10100101110100101100
31010001002221001121101100
410210222022211310230
520122030422011134
6400205422243100
731463106125631
oct4445212456454
91101087047340
10314240032044
111112a5340124
1250a9a426490
132382c0a0083
14112d045c188
158292907999
hex492a2a5d2c

314240032044 has 72 divisors (see below), whose sum is σ = 806362339328. Its totient is φ = 103160550240.

The previous prime is 314240032033. The next prime is 314240032079. The reversal of 314240032044 is 440230042413.

It is a happy number.

314240032044 is a `hidden beast` number, since 31 + 424 + 0 + 0 + 3 + 204 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 314240031999 and 314240032017.

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 23 ways as a sum of consecutive naturals, for example, 13609029 + ... + 13632099.

Almost surely, 2314240032044 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 314240032044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403181169664).

314240032044 is an abundant number, since it is smaller than the sum of its proper divisors (492122307284).

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

314240032044 is a wasteful number, since it uses less digits than its factorization.

314240032044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28795 (or 28790 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 314240032044 its reverse (440230042413), we get a palindrome (754470074457).

The spelling of 314240032044 in words is "three hundred fourteen billion, two hundred forty million, thirty-two thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 67 134 201 268 402 603 804 1206 2412 5647 11294 16941 22588 23071 33882 46142 50823 67764 69213 92284 101646 138426 203292 207639 276852 378349 415278 756698 830556 1135047 1513396 1545757 2270094 3091514 3405141 4540188 4637271 6183028 6810282 9274542 13620564 13911813 18549084 27823626 55647252 130281937 260563874 390845811 521127748 781691622 1172537433 1563383244 2345074866 4690149732 8728889779 17457779558 26186669337 34915559116 52373338674 78560008011 104746677348 157120016022 314240032044