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11230541240 = 2354114945959
BaseRepresentation
bin10100111010110010…
…00111010110111000
31001222200020121100212
422131121013112320
5141000004304430
65054221250252
7545206011512
oct123531072670
931880217325
1011230541240
114843390946
122215103988
13109c916099
14787762bb2
1545ae2cb95
hex29d6475b8

11230541240 has 64 divisors (see below), whose sum is σ = 26059320000. Its totient is φ = 4353141760.

The previous prime is 11230541239. The next prime is 11230541251. The reversal of 11230541240 is 4214503211.

It is a super-2 number, since 2×112305412402 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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, 221381 + ... + 267339.

It is an arithmetic number, because the mean of its divisors is an integer number (407176875).

Almost surely, 211230541240 is an apocalyptic number.

11230541240 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 11230541240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13029660000).

11230541240 is an abundant number, since it is smaller than the sum of its proper divisors (14828778760).

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

11230541240 is a wasteful number, since it uses less digits than its factorization.

11230541240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46160 (or 46156 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The spelling of 11230541240 in words is "eleven billion, two hundred thirty million, five hundred forty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 41 82 149 164 205 298 328 410 596 745 820 1192 1490 1640 2980 5960 6109 12218 24436 30545 45959 48872 61090 91918 122180 183836 229795 244360 367672 459590 919180 1838360 1884319 3768638 6847891 7537276 9421595 13695782 15074552 18843190 27391564 34239455 37686380 54783128 68478910 75372760 136957820 273915640 280763531 561527062 1123054124 1403817655 2246108248 2807635310 5615270620 11230541240