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11141424240 = 2435131354371
BaseRepresentation
bin10100110000001010…
…01010010001110000
31001202110112222211020
422120011022101300
5140304201033430
65041315215440
7543044354262
oct123005122160
931673488736
1011141424240
1147a8052a31
1221ab2a7580
13108731302b
147799a5b32
154531c7b10
hex29814a470

11141424240 has 80 divisors (see below), whose sum is σ = 34802165376. Its totient is φ = 2948358400.

The previous prime is 11141424233. The next prime is 11141424251. The reversal of 11141424240 is 4242414111.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11141424240.

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, 145746 + ... + 208625.

Almost surely, 211141424240 is an apocalyptic number.

11141424240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11141424240 is an abundant number, since it is smaller than the sum of its proper divisors (23660741136).

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

11141424240 is a wasteful number, since it uses less digits than its factorization.

11141424240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354518 (or 354512 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 11141424240 its reverse (4242414111), we get a palindrome (15383838351).

The spelling of 11141424240 in words is "eleven billion, one hundred forty-one million, four hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 131 240 262 393 524 655 786 1048 1310 1572 1965 2096 2620 3144 3930 5240 6288 7860 10480 15720 31440 354371 708742 1063113 1417484 1771855 2126226 2834968 3543710 4252452 5315565 5669936 7087420 8504904 10631130 14174840 17009808 21262260 28349680 42524520 46422601 85049040 92845202 139267803 185690404 232113005 278535606 371380808 464226010 557071212 696339015 742761616 928452020 1114142424 1392678030 1856904040 2228284848 2785356060 3713808080 5570712120 11141424240