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144441440232342 = 231159308312031571
BaseRepresentation
bin100000110101111001100100…
…101111000110001110010110
3200221102110121022121112101020
4200311321210233012032112
5122413012032144413332
61231111252005142010
742265356353253141
oct4065714457061626
9627373538545336
10144441440232342
11420292a8481110
12142498760ba906
136279a003c39b6
142795008383058
1511a73c001782c
hex835e64bc6396

144441440232342 has 64 divisors (see below), whose sum is σ = 320590379934720. Its totient is φ = 43014306538400.

The previous prime is 144441440232337. The next prime is 144441440232343. The reversal of 144441440232342 is 243232044144441.

144441440232342 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 144441440232294 and 144441440232303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144441440232343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5989417 + ... + 18020987.

It is an arithmetic number, because the mean of its divisors is an integer number (5009224686480).

Almost surely, 2144441440232342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144441440232342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160295189967360).

144441440232342 is an abundant number, since it is smaller than the sum of its proper divisors (176148939702378).

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

144441440232342 is a wasteful number, since it uses less digits than its factorization.

144441440232342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12034729.

The product of its (nonzero) digits is 1179648, while the sum is 42.

Adding to 144441440232342 its reverse (243232044144441), we get a palindrome (387673484376783).

The spelling of 144441440232342 in words is "one hundred forty-four trillion, four hundred forty-one billion, four hundred forty million, two hundred thirty-two thousand, three hundred forty-two".

Divisors: 1 2 3 6 11 22 33 59 66 118 177 354 649 1298 1947 3083 3894 6166 9249 18498 33913 67826 101739 181897 203478 363794 545691 1091382 2000867 4001734 6002601 12005202 12031571 24063142 36094713 72189426 132347281 264694562 397041843 709862689 794083686 1419725378 2129588067 4259176134 7808489579 15616979158 23425468737 37093333393 46850937474 74186666786 111280000179 222560000358 408026667323 816053334646 1224080001969 2188506670187 2448160003938 4377013340374 6565520010561 13131040021122 24073573372057 48147146744114 72220720116171 144441440232342