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11242615042040 = 23519291451351551
BaseRepresentation
bin1010001110011010000000…
…0100110110111111111000
31110210210011011122210121012
42203212200010312333320
52433144333422321130
635524441441533052
72240152324051364
oct243464004667770
943723134583535
1011242615042040
113644a6a107a18
121316a89044188
13637235504225
142ac2072602a4
151476a5eb7995
hexa39a0136ff8

11242615042040 has 128 divisors (see below), whose sum is σ = 27564489216000. Its totient is φ = 4110603840000.

The previous prime is 11242615042037. The next prime is 11242615042051. The reversal of 11242615042040 is 4024051624211.

11242615042040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11242615041988 and 11242615042006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31804265 + ... + 32155815.

It is an arithmetic number, because the mean of its divisors is an integer number (215347572000).

Almost surely, 211242615042040 is an apocalyptic number.

11242615042040 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 11242615042040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13782244608000).

11242615042040 is an abundant number, since it is smaller than the sum of its proper divisors (16321874173960).

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

11242615042040 is a wasteful number, since it uses less digits than its factorization.

11242615042040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353061 (or 353057 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

Adding to 11242615042040 its reverse (4024051624211), we get a palindrome (15266666666251).

The spelling of 11242615042040 in words is "eleven trillion, two hundred forty-two billion, six hundred fifteen million, forty-two thousand, forty".

Divisors: 1 2 4 5 8 10 19 20 29 38 40 58 76 95 116 145 152 190 232 290 380 551 580 760 1102 1160 1451 2204 2755 2902 4408 5510 5804 7255 11020 11608 14510 22040 27569 29020 42079 55138 58040 84158 110276 137845 168316 210395 220552 275690 336632 351551 420790 551380 703102 799501 841580 1102760 1406204 1599002 1683160 1757755 2812408 3198004 3515510 3997505 6396008 6679469 7031020 7995010 10194979 13358938 14062040 15990020 20389958 26717876 31980040 33397345 40779916 50974895 53435752 66794690 81559832 101949790 133589380 193704601 203899580 267178760 387409202 407799160 510100501 774818404 968523005 1020201002 1549636808 1937046010 2040402004 2550502505 3874092020 4080804008 5101005010 7748184040 9691909519 10202010020 14792914529 19383819038 20404020040 29585829058 38767638076 48459547595 59171658116 73964572645 77535276152 96919095190 118343316232 147929145290 193838190380 281065376051 295858290580 387676380760 562130752102 591716581160 1124261504204 1405326880255 2248523008408 2810653760510 5621307521020 11242615042040