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20041220234040 = 23352337733896911
BaseRepresentation
bin1001000111010001101011…
…10100000001101100111000
32121221220220002121100120120
410203220311310001230320
510111323404334442130
6110342450502453240
74135634056153215
oct443506564015470
977856802540516
1020041220234040
116427485391a65
1222b8158134220
13b24b570c3575
144d4000904b0c
1524b4b8a53910
hex123a35d01b38

20041220234040 has 512 divisors, whose sum is σ = 65493378662400. Its totient is φ = 4892348989440.

The previous prime is 20041220234029. The next prime is 20041220234041. The reversal of 20041220234040 is 4043202214002.

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

It is a self number, because there is not a number n which added to its sum of digits gives 20041220234040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20041220234041) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2899898185 + ... + 2899905095.

It is an arithmetic number, because the mean of its divisors is an integer number (127916755200).

Almost surely, 220041220234040 is an apocalyptic number.

20041220234040 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 20041220234040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32746689331200).

20041220234040 is an abundant number, since it is smaller than the sum of its proper divisors (45452158428360).

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

20041220234040 is a wasteful number, since it uses less digits than its factorization.

20041220234040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7447 (or 7443 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 20041220234040 its reverse (4043202214002), we get a palindrome (24084422448042).

The spelling of 20041220234040 in words is "twenty trillion, forty-one billion, two hundred twenty million, two hundred thirty-four thousand, forty".