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11241473040 = 24325717131203
BaseRepresentation
bin10100111100000101…
…10100010000010000
31002000102210222222100
422132002310100100
5141010304114130
65055251440400
7545400641610
oct123602642020
932012728870
1011241473040
114849578096
1222188b6100
1310a1c72ac5
14788daaa40
1545bd8bc60
hex29e0b4410

11241473040 has 240 divisors, whose sum is σ = 45684183168. Its totient is φ = 2418315264.

The previous prime is 11241473027. The next prime is 11241473051. The reversal of 11241473040 is 4037414211.

11241473040 is a `hidden beast` number, since 112 + 41 + 473 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×112414730402 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11241472995 and 11241473013.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20079 + ... + 151281.

Almost surely, 211241473040 is an apocalyptic number.

11241473040 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 11241473040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22842091584).

11241473040 is an abundant number, since it is smaller than the sum of its proper divisors (34442710128).

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

11241473040 is a wasteful number, since it uses less digits than its factorization.

11241473040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131246 (or 131237 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

Adding to 11241473040 its reverse (4037414211), we get a palindrome (15278887251).

The spelling of 11241473040 in words is "eleven billion, two hundred forty-one million, four hundred seventy-three thousand, forty".