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144441424031322 = 231169591207126053
BaseRepresentation
bin100000110101111001100011…
…110001010010111001011010
3200221102110120012010102202110
4200311321203301102321122
5122413012014023000242
61231111250230013150
742265356065455635
oct4065714361227132
9627373505112673
10144441424031322
114202929a316040
12142498707a71b6
1362799c9c407b2
142795006166c1c
1511a73bd8b739c
hex835e63c52e5a

144441424031322 has 64 divisors (see below), whose sum is σ = 315228421509120. Its totient is φ = 43758533582400.

The previous prime is 144441424031227. The next prime is 144441424031351. The reversal of 144441424031322 is 223130424144441.

It is a happy number.

144441424031322 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 5544124848 + ... + 5544150900.

It is an arithmetic number, because the mean of its divisors is an integer number (4925444086080).

Almost surely, 2144441424031322 is an apocalyptic number.

144441424031322 is an abundant number, since it is smaller than the sum of its proper divisors (170786997477798).

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

144441424031322 is a wasteful number, since it uses less digits than its factorization.

144441424031322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45099.

The product of its (nonzero) digits is 294912, while the sum is 39.

Adding to 144441424031322 its reverse (223130424144441), we get a palindrome (367571848175763).

The spelling of 144441424031322 in words is "one hundred forty-four trillion, four hundred forty-one billion, four hundred twenty-four million, thirty-one thousand, three hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 66 6959 12071 13918 20877 24142 26053 36213 41754 52106 72426 76549 78159 132781 153098 156318 229647 265562 286583 398343 459294 573166 796686 859749 1719498 84002089 168004178 181302827 252006267 314485763 362605654 504012534 543908481 628971526 924022979 943457289 1087816962 1848045958 1886914578 1994331097 2772068937 3459343393 3988662194 5544137874 5982993291 6918686786 10378030179 11965986582 20756060358 2188506424717 4377012849434 6565519274151 13131038548302 24073570671887 48147141343774 72220712015661 144441424031322