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439706914816 = 2121327972
BaseRepresentation
bin1100110011000001001…
…00110001000000000000
31120000221221010122012111
412121200210301000000
524201004432233231
6533555405105104
743524230052031
oct6314044610000
91500857118174
10439706914816
1115a52a0aa184
1271274b58194
1332605a74300
14173d387aa88
15b6877da4b1
hex6660931000

439706914816 has 117 divisors (see below), whose sum is σ = 953344600671. Its totient is φ = 202687021056.

The previous prime is 439706914793. The next prime is 439706914841. The reversal of 439706914816 is 618419607934.

The square root of 439706914816 is 663104.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 68484796416 + 371222118400 = 261696^2 + 609280^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 551702130 + ... + 551702926.

Almost surely, 2439706914816 is an apocalyptic number.

439706914816 is the 663104-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 439706914816

439706914816 is an abundant number, since it is smaller than the sum of its proper divisors (513637685855).

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

439706914816 is an frugal number, since it uses more digits than its factorization.

439706914816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1644 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 58.

The spelling of 439706914816 in words is "four hundred thirty-nine billion, seven hundred six million, nine hundred fourteen thousand, eight hundred sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 256 338 416 512 676 797 832 1024 1352 1594 1664 2048 2704 3188 3328 4096 5408 6376 6656 10361 10816 12752 13312 20722 21632 25504 26624 41444 43264 51008 53248 82888 86528 102016 134693 165776 173056 204032 269386 331552 346112 408064 538772 635209 663104 692224 816128 1077544 1270418 1326208 1632256 2155088 2540836 2652416 3264512 4310176 5081672 5304832 8257717 8620352 10163344 10609664 16515434 17240704 20326688 21219328 33030868 34481408 40653376 42438656 66061736 68962816 81306752 107350321 132123472 137925632 162613504 214700642 264246944 275851264 325227008 429401284 528493888 551702528 650454016 858802568 1056987776 1300908032 1717605136 2113975552 2601816064 3435210272 4227951104 6870420544 8455902208 13740841088 16911804416 27481682176 33823608832 54963364352 109926728704 219853457408 439706914816