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11142005520 = 2435263176521
BaseRepresentation
bin10100110000001110…
…11000001100010000
31001202111122112012010
422120013120030100
5140304323134040
65041335502520
7543052325052
oct123007301420
931674575163
1011142005520
1147a840a728
1221ab527a40
131087487799
14779ab78d2
1545328ee80
hex2981d8310

11142005520 has 80 divisors (see below), whose sum is σ = 34671745152. Its totient is φ = 2959887360.

The previous prime is 11142005503. The next prime is 11142005531. The reversal of 11142005520 is 2550024111.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25141 + ... + 151380.

Almost surely, 211142005520 is an apocalyptic number.

11142005520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11142005520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17335872576).

11142005520 is an abundant number, since it is smaller than the sum of its proper divisors (23529739632).

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

11142005520 is a wasteful number, since it uses less digits than its factorization.

11142005520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176800 (or 176794 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

Adding to 11142005520 its reverse (2550024111), we get a palindrome (13692029631).

The spelling of 11142005520 in words is "eleven billion, one hundred forty-two million, five thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 263 526 789 1052 1315 1578 2104 2630 3156 3945 4208 5260 6312 7890 10520 12624 15780 21040 31560 63120 176521 353042 529563 706084 882605 1059126 1412168 1765210 2118252 2647815 2824336 3530420 4236504 5295630 7060840 8473008 10591260 14121680 21182520 42365040 46425023 92850046 139275069 185700092 232125115 278550138 371400184 464250230 557100276 696375345 742800368 928500460 1114200552 1392750690 1857000920 2228401104 2785501380 3714001840 5571002760 11142005520