Search a number
-
+
11403132240000 = 27354197241183
BaseRepresentation
bin1010010111101111111110…
…1001011000000010000000
31111101010110220002022211010
42211323333221120002000
52443312103323140000
640130305430320520
72254564150530354
oct245737751300200
944333426068733
1011403132240000
1136a704a963606
121342005ab9140
13649406967b37
142b5cb3725464
1514b94d068d50
hexa5effa58080

11403132240000 has 320 divisors, whose sum is σ = 38042135619840. Its totient is φ = 3025387008000.

The previous prime is 11403132239981. The next prime is 11403132240047. The reversal of 11403132240000 is 4223130411.

It is a tau number, because it is divible by the number of its divisors (320).

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, 47159409 + ... + 47400591.

It is an arithmetic number, because the mean of its divisors is an integer number (118881673812).

Almost surely, 211403132240000 is an apocalyptic number.

11403132240000 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 11403132240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19021067809920).

11403132240000 is an abundant number, since it is smaller than the sum of its proper divisors (26639003379840).

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

11403132240000 is an equidigital number, since it uses as much as digits as its factorization.

11403132240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241417 (or 241390 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 11403132240000 its reverse (4223130411), we get a palindrome (11407355370411).

The spelling of 11403132240000 in words is "eleven trillion, four hundred three billion, one hundred thirty-two million, two hundred forty thousand".