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11011430144 = 281113312313
BaseRepresentation
bin10100100000101010…
…10001011100000000
31001102101221121110002
422100111101130000
5140022411231034
65020353055132
7536605416611
oct122025213400
931371847402
1011011430144
1147407354a0
1221738574a8
1310663ca150
14766607c08
15446a9ae7e
hex290551700

11011430144 has 216 divisors, whose sum is σ = 26767578096. Its totient is φ = 4456857600.

The previous prime is 11011430141. The next prime is 11011430173. The reversal of 11011430144 is 44103411011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11011430141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35180132 + ... + 35180444.

Almost surely, 211011430144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11011430144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13383789048).

11011430144 is an abundant number, since it is smaller than the sum of its proper divisors (15756147952).

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

11011430144 is a wasteful number, since it uses less digits than its factorization.

11011430144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 11011430144 its reverse (44103411011), we get a palindrome (55114841155).

The spelling of 11011430144 in words is "eleven billion, eleven million, four hundred thirty thousand, one hundred forty-four".