Search a number
-
+
14060974208 = 274722232
BaseRepresentation
bin11010001100001100…
…10111000010000000
31100021221012111110112
431012012113002000
5212244102133313
610243131250452
71005305210621
oct150606270200
940257174415
1014060974208
115a66065046
122884ba9a28
13143113a3a8
14975629a48
155746798a8
hex346197080

14060974208 has 72 divisors (see below), whose sum is σ = 28749699855. Its totient is φ = 6850046208.

The previous prime is 14060974201. The next prime is 14060974217. The reversal of 14060974208 is 80247906041.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 7030487104 + 7030487104 = 83848^2 + 83848^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=83848.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14060974201) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 63053585 + ... + 63053807.

Almost surely, 214060974208 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 14060974208

14060974208 is an abundant number, since it is smaller than the sum of its proper divisors (14688725647).

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

14060974208 is an frugal number, since it uses more digits than its factorization.

14060974208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 41.

The spelling of 14060974208 in words is "fourteen billion, sixty million, nine hundred seventy-four thousand, two hundred eight".

Divisors: 1 2 4 8 16 32 47 64 94 128 188 223 376 446 752 892 1504 1784 2209 3008 3568 4418 6016 7136 8836 10481 14272 17672 20962 28544 35344 41924 49729 70688 83848 99458 141376 167696 198916 282752 335392 397832 492607 670784 795664 985214 1341568 1591328 1970428 2337263 3182656 3940856 4674526 6365312 7881712 9349052 15763424 18698104 31526848 37396208 63053696 74792416 109851361 149584832 219702722 299169664 439405444 878810888 1757621776 3515243552 7030487104 14060974208