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140014211424 = 253291074431061
BaseRepresentation
bin1000001001100101111…
…1110101000101100000
3111101101211102220011020
42002121133311011200
54243222114231144
6144153250245440
713054453106013
oct2023137650540
9441354386136
10140014211424
115441a41041a
1223176586880
13102847c9719
146ac348b37a
1539970cc419
hex20997f5160

140014211424 has 192 divisors, whose sum is σ = 384993181440. Its totient is φ = 44498155520.

The previous prime is 140014211419. The next prime is 140014211461. The reversal of 140014211424 is 424112410041.

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

It is a junction number, because it is equal to n+sod(n) for n = 140014211394 and 140014211403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131963854 + ... + 131964914.

It is an arithmetic number, because the mean of its divisors is an integer number (2005172820).

Almost surely, 2140014211424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140014211424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192496590720).

140014211424 is an abundant number, since it is smaller than the sum of its proper divisors (244978970016).

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

140014211424 is a wasteful number, since it uses less digits than its factorization.

140014211424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1653 (or 1645 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 140014211424 its reverse (424112410041), we get a palindrome (564126621465).

The spelling of 140014211424 in words is "one hundred forty billion, fourteen million, two hundred eleven thousand, four hundred twenty-four".