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11234331240000 = 263541112236959
BaseRepresentation
bin1010001101111011001001…
…0100101010011001000000
31110202222202212020001111020
42203132302110222121000
52433030402244140000
635520551443145440
72236440125644131
oct243366224523100
943688685201436
1011234331240000
1136414a9119930
121315356975280
1363651524500b
142aba5cddbc88
1514736db0cba0
hexa37b252a640

11234331240000 has 560 divisors, whose sum is σ = 40558944983040. Its totient is φ = 2720856320000.

The previous prime is 11234331239969. The next prime is 11234331240089. The reversal of 11234331240000 is 4213343211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1614356521 + ... + 1614363479.

Almost surely, 211234331240000 is an apocalyptic number.

11234331240000 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 11234331240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20279472491520).

11234331240000 is an abundant number, since it is smaller than the sum of its proper divisors (29324613743040).

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

11234331240000 is a wasteful number, since it uses less digits than its factorization.

11234331240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8228 (or 8203 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 11234331240000 its reverse (4213343211), we get a palindrome (11238544583211).

The spelling of 11234331240000 in words is "eleven trillion, two hundred thirty-four billion, three hundred thirty-one million, two hundred forty thousand".