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20332014141420 = 2232513169110391201
BaseRepresentation
bin1001001111101111010100…
…11110101111111111101100
32122222201111000122102101100
410213313222132233333230
510131104431110011140
6111124222013243100
74165640156453442
oct447675236577754
978881430572340
1020332014141420
116529838a23653
122344592493490
13b463ba863697
14504109104b92
15253d37dc6530
hex127dea7affec

20332014141420 has 288 divisors, whose sum is σ = 62346269905920. Its totient is φ = 5363055360000.

The previous prime is 20332014141371. The next prime is 20332014141473. The reversal of 20332014141420 is 2414141023302.

20332014141420 is a `hidden beast` number, since 2 + 0 + 3 + 3 + 201 + 41 + 414 + 2 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16929236820 + ... + 16929238020.

It is an arithmetic number, because the mean of its divisors is an integer number (216480103840).

Almost surely, 220332014141420 is an apocalyptic number.

20332014141420 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 20332014141420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31173134952960).

20332014141420 is an abundant number, since it is smaller than the sum of its proper divisors (42014255764500).

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

20332014141420 is a wasteful number, since it uses less digits than its factorization.

20332014141420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3077 (or 3072 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 20332014141420 its reverse (2414141023302), we get a palindrome (22746155164722).

The spelling of 20332014141420 in words is "twenty trillion, three hundred thirty-two billion, fourteen million, one hundred forty-one thousand, four hundred twenty".