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5104213314 = 23171923307373
BaseRepresentation
bin1001100000011110…
…00001110101000010
3111011201110220100120
410300033001311002
540423134311224
62202253001110
7240326045244
oct46017016502
914151426316
105104213314
11218a217012
12ba5483196
13634619085
14365c6c094
151ed18e779
hex1303c1d42

5104213314 has 128 divisors (see below), whose sum is σ = 11943106560. Its totient is φ = 1442479104.

The previous prime is 5104213313. The next prime is 5104213321. The reversal of 5104213314 is 4133124015.

It is a happy number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (5104213313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13684032 + ... + 13684404.

It is an arithmetic number, because the mean of its divisors is an integer number (93305520).

Almost surely, 25104213314 is an apocalyptic number.

5104213314 is an abundant number, since it is smaller than the sum of its proper divisors (6838893246).

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

5104213314 is a wasteful number, since it uses less digits than its factorization.

5104213314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744.

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 5104213314 is about 71443.7772937574. Note that the first 3 decimals coincide. The cubic root of 5104213314 is about 1721.7745020178.

Adding to 5104213314 its reverse (4133124015), we get a palindrome (9237337329).

The spelling of 5104213314 in words is "five billion, one hundred four million, two hundred thirteen thousand, three hundred fourteen".

Divisors: 1 2 3 6 17 19 23 34 38 46 51 57 69 102 114 138 307 323 373 391 437 614 646 746 782 874 921 969 1119 1173 1311 1842 1938 2238 2346 2622 5219 5833 6341 7061 7087 7429 8579 10438 11666 12682 14122 14174 14858 15657 17158 17499 19023 21183 21261 22287 25737 31314 34998 38046 42366 42522 44574 51474 99161 114511 120037 120479 134159 145843 163001 198322 229022 240074 240958 268318 291686 297483 326002 343533 360111 361437 402477 437529 489003 594966 687066 720222 722874 804954 875058 978006 1946687 2175709 2280703 2633753 2771017 3893374 4351418 4561406 5267506 5542034 5840061 6527127 6842109 7901259 8313051 11680122 13054254 13684218 15802518 16626102 36987053 44773801 50041307 73974106 89547602 100082614 110961159 134321403 150123921 221922318 268642806 300247842 850702219 1701404438 2552106657 5104213314