Search a number
-
+
11423320344144 = 243415762299013
BaseRepresentation
bin1010011000111011001011…
…1100111000011001010000
31111110001120211120021110000
42212032302330320121100
52444124430002003034
640143444555410000
72256210345555012
oct246166274703120
944401524507400
1011423320344144
11370466a58aaa5
121345abaa53900
1364b2a32c32a7
142b6c6a9b41b2
1514c23058e599
hexa63b2f38650

11423320344144 has 200 divisors, whose sum is σ = 33282025690760. Its totient is φ = 3782492992512.

The previous prime is 11423320344113. The next prime is 11423320344167. The reversal of 11423320344144 is 44144302332411.

11423320344144 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 3 + 3 + 203 + 441 + 4 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 811101974544 + 10612218369600 = 900612^2 + 3257640^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11423320344099 and 11423320344108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1267422582 + ... + 1267431594.

Almost surely, 211423320344144 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 11423320344144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16641012845380).

11423320344144 is an abundant number, since it is smaller than the sum of its proper divisors (21858705346616).

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

11423320344144 is a wasteful number, since it uses less digits than its factorization.

11423320344144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15419 (or 15404 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 11423320344144 its reverse (44144302332411), we get a palindrome (55567622676555).

The spelling of 11423320344144 in words is "eleven trillion, four hundred twenty-three billion, three hundred twenty million, three hundred forty-four thousand, one hundred forty-four".