Search a number
-
+
214130000414 = 2112310138910771
BaseRepresentation
bin1100011101101100100…
…1001000001000011110
3202110201002101002010002
43013123021020020132
512002014240003124
6242211525014302
721320224654331
oct3073311101036
9673632332102
10214130000414
11828a28916a0
12355bb854392
1317266846a75
14a514958618
155883bd60ae
hex31db24821e

214130000414 has 64 divisors (see below), whose sum is σ = 370232778240. Its totient is φ = 91932720000.

The previous prime is 214130000389. The next prime is 214130000459. The reversal of 214130000414 is 414000031412.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 19874849 + ... + 19885619.

It is an arithmetic number, because the mean of its divisors is an integer number (5784887160).

Almost surely, 2214130000414 is an apocalyptic number.

214130000414 is a deficient number, since it is larger than the sum of its proper divisors (156102777826).

214130000414 is a wasteful number, since it uses less digits than its factorization.

214130000414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11297.

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 214130000414 its reverse (414000031412), we get a palindrome (628130031826).

The spelling of 214130000414 in words is "two hundred fourteen billion, one hundred thirty million, four hundred fourteen", and thus it is an aban number.

Divisors: 1 2 11 22 23 46 101 202 253 389 506 778 1111 2222 2323 4279 4646 8558 8947 10771 17894 21542 25553 39289 51106 78578 98417 118481 196834 236962 247733 432179 495466 864358 903647 1087871 1807294 2175742 2725063 4189919 5450126 8379838 9940117 11966581 19880234 23933162 25021033 46089109 50042066 92178218 96368137 192736274 275231363 423181819 550462726 846363638 1060049507 2120099014 4655000009 9310000018 9733181837 19466363674 107065000207 214130000414