Search a number
-
+
20344664021040 = 243251011392012713
BaseRepresentation
bin1001010000000110111000…
…11110001101100000110000
32200000221010121121212222100
410220003130132031200300
510131311332442133130
6111134113140140400
74166565511613112
oct450033436154060
980027117555870
1020344664021040
11653413a501417
122346b22997700
13b47655539458
145049891713b2
15254328718c60
hex1280dc78d830

20344664021040 has 240 divisors, whose sum is σ = 69497082214560. Its totient is φ = 5332881715200.

The previous prime is 20344664021023. The next prime is 20344664021041. The reversal of 20344664021040 is 4012046644302.

20344664021040 is a `hidden beast` number, since 2 + 0 + 3 + 4 + 4 + 6 + 640 + 2 + 1 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 20344664020986 and 20344664021004.

It is not an unprimeable number, because it can be changed into a prime (20344664021041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9101724 + ... + 11114436.

It is an arithmetic number, because the mean of its divisors is an integer number (289571175894).

Almost surely, 220344664021040 is an apocalyptic number.

20344664021040 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 20344664021040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34748541107280).

20344664021040 is an abundant number, since it is smaller than the sum of its proper divisors (49152418193520).

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

20344664021040 is a wasteful number, since it uses less digits than its factorization.

20344664021040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2012972 (or 2012963 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

It can be divided in two parts, 2034466 and 4021040, that added together give a palindrome (6055506).

The spelling of 20344664021040 in words is "twenty trillion, three hundred forty-four billion, six hundred sixty-four million, twenty-one thousand, forty".