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20140311240 = 23325729291229
BaseRepresentation
bin10010110000011101…
…001100001011001000
31220222121112211002100
4102300131030023020
5312221404424430
613130300433400
71312044551400
oct226035141310
956877484070
1020140311240
1185a5753a25
123aa0b48860
131b8c79383a
14d90bab800
157cd234960
hex4b074c2c8

20140311240 has 288 divisors, whose sum is σ = 76286691000. Its totient is φ = 4594802688.

The previous prime is 20140311187. The next prime is 20140311283. The reversal of 20140311240 is 4211304102.

20140311240 is a `hidden beast` number, since 20 + 1 + 403 + 1 + 1 + 240 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 16312909284 + 3827401956 = 127722^2 + 61866^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16386946 + ... + 16388174.

Almost surely, 220140311240 is an apocalyptic number.

20140311240 is a gapful number since it is divisible by the number (20) 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 20140311240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38143345500).

20140311240 is an abundant number, since it is smaller than the sum of its proper divisors (56146379760).

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

20140311240 is a wasteful number, since it uses less digits than its factorization.

20140311240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2189 (or 2175 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 20140311240 its reverse (4211304102), we get a palindrome (24351615342).

The spelling of 20140311240 in words is "twenty billion, one hundred forty million, three hundred eleven thousand, two hundred forty".