Search a number
-
+
144442221211110 = 235184723391114489
BaseRepresentation
bin100000110101111010010011…
…010010010010110111100110
3200221102112121202011100211210
4200311322103102102313212
5122413020132112223420
61231111501304212250
742265414615415154
oct4065722322226746
9627375552140753
10144442221211110
1142029669300009
1214249a5376a086
136279ac6146b04
14279507dd9a3d4
1511a74188839e0
hex835e93492de6

144442221211110 has 64 divisors (see below), whose sum is σ = 346997620569600. Its totient is φ = 38480578036992.

The previous prime is 144442221211073. The next prime is 144442221211151. The reversal of 144442221211110 is 11112122244441.

It is a happy number.

144442221211110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129046746 + ... + 130161234.

It is an arithmetic number, because the mean of its divisors is an integer number (5421837821400).

Almost surely, 2144442221211110 is an apocalyptic number.

144442221211110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

144442221211110 is an abundant number, since it is smaller than the sum of its proper divisors (202555399358490).

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

144442221211110 is a wasteful number, since it uses less digits than its factorization.

144442221211110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1118685.

The product of its (nonzero) digits is 4096, while the sum is 30.

Adding to 144442221211110 its reverse (11112122244441), we get a palindrome (155554343455551).

The spelling of 144442221211110 in words is "one hundred forty-four trillion, four hundred forty-two billion, two hundred twenty-one million, two hundred eleven thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 30 1847 2339 3694 4678 5541 7017 9235 11082 11695 14034 18470 23390 27705 35085 55410 70170 1114489 2228978 3343467 4320133 5572445 6686934 8640266 11144890 12960399 16717335 21600665 25920798 33434670 43201330 64801995 129603990 2058461183 2606789771 4116922366 5213579542 6175383549 7820369313 10292305915 12350767098 13033948855 15640738626 20584611830 26067897710 30876917745 39101846565 61753835490 78203693130 4814740707037 9629481414074 14444222121111 24073703535185 28888444242222 48147407070370 72221110605555 144442221211110