Search a number
-
+
10014314304 = 263173068111
BaseRepresentation
bin10010101001110011…
…00100111101000000
3221211220200212122210
421110321210331000
5131002131024204
64333413302120
7503110160421
oct112471447500
927756625583
1010014314304
114279901615
121b35934940
13c3795c987
146b000b648
153d9289389
hex254e64f40

10014314304 has 56 divisors (see below), whose sum is σ = 28054816128. Its totient is φ = 3141744640.

The previous prime is 10014314279. The next prime is 10014314311. The reversal of 10014314304 is 40341341001.

It is a super-3 number, since 3×100143143043 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1530792 + ... + 1537319.

Almost surely, 210014314304 is an apocalyptic number.

It is an amenable number.

10014314304 is an abundant number, since it is smaller than the sum of its proper divisors (18040501824).

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

10014314304 is a wasteful number, since it uses less digits than its factorization.

10014314304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3068143 (or 3068133 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 10014314304 its reverse (40341341001), we get a palindrome (50355655305).

The spelling of 10014314304 in words is "ten billion, fourteen million, three hundred fourteen thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 192 204 272 408 544 816 1088 1632 3264 3068111 6136222 9204333 12272444 18408666 24544888 36817332 49089776 52157887 73634664 98179552 104315774 147269328 156473661 196359104 208631548 294538656 312947322 417263096 589077312 625894644 834526192 1251789288 1669052384 2503578576 3338104768 5007157152 10014314304