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20144441112 = 23341101202693
BaseRepresentation
bin10010110000101100…
…111100011100011000
31220222220022122012120
4102300230330130120
5312223434103422
613130525141240
71312124632005
oct226054743430
956886278176
1020144441112
1185a8014844
123aa23ba820
131b905ab553
14d915648ac
157cd79d45c
hex4b0b3c718

20144441112 has 64 divisors (see below), whose sum is σ = 52100465760. Its totient is φ = 6486144000.

The previous prime is 20144441089. The next prime is 20144441113. The reversal of 20144441112 is 21114444102.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20144441113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1963 + ... + 200730.

Almost surely, 220144441112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20144441112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26050232880).

20144441112 is an abundant number, since it is smaller than the sum of its proper divisors (31956024648).

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

20144441112 is a wasteful number, since it uses less digits than its factorization.

20144441112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202844 (or 202840 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 20144441112 its reverse (21114444102), we get a palindrome (41258885214).

It can be divided in two parts, 201444 and 41112, that added together give a triangular number (242556 = T696).

The spelling of 20144441112 in words is "twenty billion, one hundred forty-four million, four hundred forty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 41 82 101 123 164 202 246 303 328 404 492 606 808 984 1212 2424 4141 8282 12423 16564 24846 33128 49692 99384 202693 405386 608079 810772 1216158 1621544 2432316 4864632 8310413 16620826 20471993 24931239 33241652 40943986 49862478 61415979 66483304 81887972 99724956 122831958 163775944 199449912 245663916 491327832 839351713 1678703426 2518055139 3357406852 5036110278 6714813704 10072220556 20144441112