Search a number
-
+
11444121344000 = 21153193137517
BaseRepresentation
bin1010011010001000101011…
…0010011001100000000000
31111112001021111022112221002
42212202022302121200000
53000000030031002000
640201205021151132
72260544665261322
oct246421262314000
944461244275832
1011444121344000
113712474173074
121349b450bb4a8
13650239910c27
142b7c81405612
1514ca4b7cd8d5
hexa688ac99800

11444121344000 has 384 divisors, whose sum is σ = 30160634212800. Its totient is φ = 4322289254400.

The previous prime is 11444121343979. The next prime is 11444121344081. The reversal of 11444121344000 is 44312144411.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1522428242 + ... + 1522435758.

Almost surely, 211444121344000 is an apocalyptic number.

11444121344000 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 11444121344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15080317106400).

11444121344000 is an abundant number, since it is smaller than the sum of its proper divisors (18716512868800).

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

11444121344000 is an equidigital number, since it uses as much as digits as its factorization.

11444121344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7886 (or 7856 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

Adding to 11444121344000 its reverse (44312144411), we get a palindrome (11488433488411).

The spelling of 11444121344000 in words is "eleven trillion, four hundred forty-four billion, one hundred twenty-one million, three hundred forty-four thousand".