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20334344410000 = 245429351719937
BaseRepresentation
bin1001001111110011101010…
…11000000001001110010000
32122222221111102110022221001
410213321311120001032100
510131124214132110000
6111125245135111344
74166052003432415
oct447716530011620
978887442408831
1020334344410000
11652a824338955
122344b22972554
13b4669c575b2a
1450428a7b210c
15253e2277646a
hex127e75601390

20334344410000 has 200 divisors, whose sum is σ = 50946154605720. Its totient is φ = 7850637312000.

The previous prime is 20334344409979. The next prime is 20334344410013. The reversal of 20334344410000 is 1444343302.

It can be written as a sum of positive squares in 20 ways, for example, as 19215352795024 + 1118991614976 = 4383532^2 + 1057824^2 .

It is a tau number, because it is divible by the number of its divisors (200).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1019920032 + ... + 1019939968.

Almost surely, 220334344410000 is an apocalyptic number.

20334344410000 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 20334344410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25473077302860).

20334344410000 is an abundant number, since it is smaller than the sum of its proper divisors (30611810195720).

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

20334344410000 is a wasteful number, since it uses less digits than its factorization.

20334344410000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23511 (or 23490 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 20334344410000 its reverse (1444343302), we get a palindrome (20335788753302).

The spelling of 20334344410000 in words is "twenty trillion, three hundred thirty-four billion, three hundred forty-four million, four hundred ten thousand".