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144442220010012 = 223283392912303581
BaseRepresentation
bin100000110101111010010011…
…001101101101101000011100
3200221102112121122220100020200
4200311322103031231220130
5122413020131310310022
61231111501222343500
742265414602253341
oct4065722315555034
9627375548810220
10144442220010012
114202966865a671
1214249a5328ab90
136279ac5b161c2
14279507db667c8
1511a74186e7bac
hex835e9336da1c

144442220010012 has 72 divisors (see below), whose sum is σ = 369610922575440. Its totient is φ = 47555206844160.

The previous prime is 144442220010007. The next prime is 144442220010013. The reversal of 144442220010012 is 210010022244441.

144442220010012 is a `hidden beast` number, since 1 + 4 + 4 + 442 + 2 + 200 + 1 + 0 + 0 + 12 = 666.

144442220010012 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1444422200100122 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144442220010013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5588062 + ... + 17891642.

It is an arithmetic number, because the mean of its divisors is an integer number (5133485035770).

Almost surely, 2144442220010012 is an apocalyptic number.

144442220010012 is a gapful number since it is divisible by the number (12) 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 144442220010012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184805461287720).

144442220010012 is an abundant number, since it is smaller than the sum of its proper divisors (225168702565428).

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

144442220010012 is a wasteful number, since it uses less digits than its factorization.

144442220010012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12307603 (or 12307598 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 144442220010012 its reverse (210010022244441), we get a palindrome (354452242254453).

The spelling of 144442220010012 in words is "one hundred forty-four trillion, four hundred forty-two billion, two hundred twenty million, ten thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 83 166 249 332 498 747 996 1494 2988 3929 7858 11787 15716 23574 35361 47148 70722 141444 326107 652214 978321 1304428 1956642 2934963 3913284 5869926 11739852 12303581 24607162 36910743 49214324 73821486 110732229 147642972 221464458 442928916 1021197223 2042394446 3063591669 4084788892 6127183338 9190775007 12254366676 18381550014 36763100028 48340769749 96681539498 145022309247 193363078996 290044618494 435066927741 580089236988 870133855482 1740267710964 4012283889167 8024567778334 12036851667501 16049135556668 24073703335002 36110555002503 48147406670004 72221110005006 144442220010012