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11420314000000 = 275623092473
BaseRepresentation
bin1010011000101111111111…
…0000100101101010000000
31111102202211022121011120121
42212023333300211222000
52444102300341000000
640142230403150024
72256043012220203
oct246137760455200
944382738534517
1011420314000000
113703367587164
121345400075314
1364ac144ca229
142b6a635d993a
1514c106695b1a
hexa62ffc25a80

11420314000000 has 224 divisors, whose sum is σ = 28462715750700. Its totient is φ = 4564300800000.

The previous prime is 11420313999989. The next prime is 11420314000019. The reversal of 11420314000000 is 41302411.

It can be written as a sum of positive squares in 14 ways, for example, as 7005507891264 + 4414806108736 = 2646792^2 + 2101144^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 4617998764 + ... + 4618001236.

Almost surely, 211420314000000 is an apocalyptic number.

11420314000000 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 11420314000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14231357875350).

11420314000000 is an abundant number, since it is smaller than the sum of its proper divisors (17042401750700).

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

11420314000000 is an frugal number, since it uses more digits than its factorization.

11420314000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4826 (or 4789 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 11420314000000 its reverse (41302411), we get a palindrome (11420355302411).

The spelling of 11420314000000 in words is "eleven trillion, four hundred twenty billion, three hundred fourteen million", and thus it is an aban number.