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20004041311144 = 2311260733402821
BaseRepresentation
bin1001000110001100011011…
…10001101100001110101000
32121211100221000220101100021
410203012031301230032220
510110221234033424034
6110313421341250224
74133146535424052
oct443061561541650
977740830811307
1020004041311144
1164127368a7a00
1222b0b00b63974
13b214b063a9c7
144d22b4c868d2
1524a53ea6b6b4
hex12318dc6c3a8

20004041311144 has 48 divisors (see below), whose sum is σ = 41234137951860. Its totient is φ = 9091246137600.

The previous prime is 20004041311109. The next prime is 20004041311183. The reversal of 20004041311144 is 44111314040002.

20004041311144 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 16247848463044 + 3756192848100 = 4030862^2 + 1938090^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4177254 + ... + 7580074.

Almost surely, 220004041311144 is an apocalyptic number.

It is an amenable number.

20004041311144 is an abundant number, since it is smaller than the sum of its proper divisors (21230096640716).

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

20004041311144 is a wasteful number, since it uses less digits than its factorization.

20004041311144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3408922 (or 3408907 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 20004041311144 its reverse (44111314040002), we get a palindrome (64115355351146).

The spelling of 20004041311144 in words is "twenty trillion, four billion, forty-one million, three hundred eleven thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 22 44 88 121 242 484 968 6073 12146 24292 48584 66803 133606 267212 534424 734833 1469666 2939332 3402821 5878664 6805642 13611284 27222568 37431031 74862062 149724124 299448248 411741341 823482682 1646965364 3293930728 20665331933 41330663866 82661327732 165322655464 227318651263 454637302526 909274605052 1818549210104 2500505163893 5001010327786 10002020655572 20004041311144