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11240433040 = 2452318133751
BaseRepresentation
bin10100111011111101…
…10110010110010000
31002000100212011100211
422131332312112100
5141010022324130
65055213253504
7545356050544
oct123576662620
932010764324
1011240433040
114848a27791
122218494294
1310a199a615
14788bb9a24
1545bc33a2a
hex29dfb6590

11240433040 has 80 divisors (see below), whose sum is σ = 27421744896. Its totient is φ = 4276800000.

The previous prime is 11240433037. The next prime is 11240433053. The reversal of 11240433040 is 4033404211.

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

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 15 ways as a sum of consecutive naturals, for example, 316165 + ... + 349915.

Almost surely, 211240433040 is an apocalyptic number.

11240433040 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 11240433040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13710872448).

11240433040 is an abundant number, since it is smaller than the sum of its proper divisors (16181311856).

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

11240433040 is a wasteful number, since it uses less digits than its factorization.

11240433040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33968 (or 33962 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 11240433040 its reverse (4033404211), we get a palindrome (15273837251).

The spelling of 11240433040 in words is "eleven billion, two hundred forty million, four hundred thirty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 181 184 230 362 368 460 724 905 920 1448 1810 1840 2896 3620 4163 7240 8326 14480 16652 20815 33304 33751 41630 66608 67502 83260 135004 166520 168755 270008 333040 337510 540016 675020 776273 1350040 1552546 2700080 3105092 3881365 6108931 6210184 7762730 12217862 12420368 15525460 24435724 30544655 31050920 48871448 61089310 62101840 97742896 122178620 140505413 244357240 281010826 488714480 562021652 702527065 1124043304 1405054130 2248086608 2810108260 5620216520 11240433040