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11234410240 = 28522938327
BaseRepresentation
bin10100111011001111…
…10111111100000000
31001222221112011122011
422131213313330000
5141002002111430
65054440222304
7545253624424
oct123547677400
931887464564
1011234410240
114845593769
12221646a994
1310a066c131
1478808cb84
1545b44422a
hex29d9f7f00

11234410240 has 72 divisors (see below), whose sum is σ = 27028139040. Its totient is φ = 4474023936.

The previous prime is 11234410223. The next prime is 11234410259. The reversal of 11234410240 is 4201443211.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 273957 + ... + 312283.

It is an arithmetic number, because the mean of its divisors is an integer number (375390820).

Almost surely, 211234410240 is an apocalyptic number.

11234410240 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 11234410240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13514069520).

11234410240 is an abundant number, since it is smaller than the sum of its proper divisors (15793728800).

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

11234410240 is an equidigital number, since it uses as much as digits as its factorization.

11234410240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38577 (or 38563 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 11234410240 its reverse (4201443211), we get a palindrome (15435853451).

The spelling of 11234410240 in words is "eleven billion, two hundred thirty-four million, four hundred ten thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 229 256 320 458 640 916 1145 1280 1832 2290 3664 4580 7328 9160 14656 18320 29312 36640 38327 58624 73280 76654 146560 153308 191635 293120 306616 383270 613232 766540 1226464 1533080 2452928 3066160 4905856 6132320 8776883 9811712 12264640 17553766 24529280 35107532 43884415 49058560 70215064 87768830 140430128 175537660 280860256 351075320 561720512 702150640 1123441024 1404301280 2246882048 2808602560 5617205120 11234410240