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144442231210395 = 3253209827360231
BaseRepresentation
bin100000110101111010010011…
…111000011100000110011011
3200221102112122102222101021200
4200311322103320130012123
5122413020142142213040
61231111502302405243
742265415066412456
oct4065722370340633
9627375572871250
10144442231210395
1142029673a0a688
1214249a56b90823
136279ac8238251
14279508144049d
1511a74196ab630
hex835e93e1c19b

144442231210395 has 12 divisors (see below), whose sum is σ = 250366534098096. Its totient is φ = 77035856645520.

The previous prime is 144442231210357. The next prime is 144442231210439. The reversal of 144442231210395 is 593012132244441.

It is a happy number.

144442231210395 is a `hidden beast` number, since 1 + 4 + 4 + 4 + 4 + 2 + 231 + 21 + 0 + 395 = 666.

144442231210395 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 not a de Polignac number, because 144442231210395 - 28 = 144442231210139 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 3209827360231 = 144442231210395 / (1 + 4 + 4 + 4 + 4 + 2 + 2 + 3 + 1 + 2 + 1 + 0 + 3 + 9 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 144442231210395.

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, 1604913680071 + ... + 1604913680160.

It is an arithmetic number, because the mean of its divisors is an integer number (20863877841508).

Almost surely, 2144442231210395 is an apocalyptic number.

144442231210395 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

144442231210395 is a deficient number, since it is larger than the sum of its proper divisors (105924302887701).

144442231210395 is a wasteful number, since it uses less digits than its factorization.

144442231210395 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3209827360242 (or 3209827360239 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 144442231210395 in words is "one hundred forty-four trillion, four hundred forty-two billion, two hundred thirty-one million, two hundred ten thousand, three hundred ninety-five".

Divisors: 1 3 5 9 15 45 3209827360231 9629482080693 16049136801155 28888446242079 48147410403465 144442231210395