Search a number
-
+
5140424135 = 5721115712149
BaseRepresentation
bin1001100100110010…
…01010010111000111
3111021020121121021002
410302121022113013
541011422033020
62210025043515
7241245612200
oct46231122707
914236547232
105140424135
1121a86a9810
12bb562659b
1363bc86cb2
1436a9b65a7
15201443975
hex13264a5c7

5140424135 has 48 divisors (see below), whose sum is σ = 7878448800. Its totient is φ = 3183747840.

The previous prime is 5140424119. The next prime is 5140424153. The reversal of 5140424135 is 5314240415.

It is not a de Polignac number, because 5140424135 - 24 = 5140424119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 5140424098 and 5140424107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 417041 + ... + 429189.

It is an arithmetic number, because the mean of its divisors is an integer number (164134350).

Almost surely, 25140424135 is an apocalyptic number.

5140424135 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

5140424135 is a deficient number, since it is larger than the sum of its proper divisors (2738024665).

5140424135 is a wasteful number, since it uses less digits than its factorization.

5140424135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12336 (or 12329 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

The square root of 5140424135 is about 71696.7512164952. The cubic root of 5140424135 is about 1725.8365064196.

The spelling of 5140424135 in words is "five billion, one hundred forty million, four hundred twenty-four thousand, one hundred thirty-five".

Divisors: 1 5 7 11 35 49 55 77 157 245 385 539 785 1099 1727 2695 5495 7693 8635 12089 12149 38465 60445 60745 84623 85043 133639 423115 425215 595301 668195 935473 1907393 2976505 4677365 6548311 9536965 13351751 20981323 32741555 66758755 93462257 104906615 146869261 467311285 734346305 1028084827 5140424135