Search a number
-
+
13540054122 = 234729411727
BaseRepresentation
bin11001001110000110…
…01101010001101010
31021221122000000110000
430213003031101222
5210212223212442
610115322203430
7656351363310
oct144703152152
937848000400
1013540054122
11581900a081
12275a653576
13137a23c15a
1492638a0b0
15543a7cd4c
hex3270cd46a

13540054122 has 80 divisors (see below), whose sum is σ = 35869743360. Its totient is φ = 3735178272.

The previous prime is 13540054117. The next prime is 13540054193. The reversal of 13540054122 is 22145004531.

13540054122 is a `hidden beast` number, since 135 + 400 + 5 + 4 + 122 = 666.

It is a super-4 number, since 4×135400541224 (a number of 42 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 172978 + ... + 238749.

It is an arithmetic number, because the mean of its divisors is an integer number (448371792).

Almost surely, 213540054122 is an apocalyptic number.

13540054122 is an abundant number, since it is smaller than the sum of its proper divisors (22329689238).

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

13540054122 is a wasteful number, since it uses less digits than its factorization.

13540054122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411777 (or 411768 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 13540054122 its reverse (22145004531), we get a palindrome (35685058653).

The spelling of 13540054122 in words is "thirteen billion, five hundred forty million, fifty-four thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 29 42 54 58 63 81 87 126 162 174 189 203 261 378 406 522 567 609 783 1134 1218 1566 1827 2349 3654 4698 5481 10962 16443 32886 411727 823454 1235181 2470362 2882089 3705543 5764178 7411086 8646267 11116629 11940083 17292534 22233258 23880166 25938801 33349887 35820249 51877602 66699774 71640498 77816403 83580581 107460747 155632806 167161162 214921494 233449209 250741743 322382241 466898418 501483486 644764482 752225229 967146723 1504450458 1934293446 2256675687 4513351374 6770027061 13540054122