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11411324430000 = 2435411149232079
BaseRepresentation
bin1010011000001110011111…
…1100000110011010110000
31111101220121211010200211120
42212003213330012122300
52443430343023230000
640134142353342240
72255304154146255
oct246034774063260
944356554120746
1011411324430000
1136aa57416a170
121343711567980
1364a110c5c441
142b644d73b42c
1514bc7c3796a0
hexa60e7f066b0

11411324430000 has 400 divisors, whose sum is σ = 40455999936000. Its totient is φ = 2747803520000.

The previous prime is 11411324429819. The next prime is 11411324430007. The reversal of 11411324430000 is 3442311411.

It is a tau number, because it is divible by the number of its divisors (400).

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

It is not an unprimeable number, because it can be changed into a prime (11411324430007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 49053961 + ... + 49286039.

It is an arithmetic number, because the mean of its divisors is an integer number (101139999840).

Almost surely, 211411324430000 is an apocalyptic number.

11411324430000 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 11411324430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20227999968000).

11411324430000 is an abundant number, since it is smaller than the sum of its proper divisors (29044675506000).

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

11411324430000 is a wasteful number, since it uses less digits than its factorization.

11411324430000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232270 (or 232249 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 11411324430000 its reverse (3442311411), we get a palindrome (11414766741411).

The spelling of 11411324430000 in words is "eleven trillion, four hundred eleven billion, three hundred twenty-four million, four hundred thirty thousand".