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144401132413321 = 72331293817912073
BaseRepresentation
bin100000110101010100000010…
…001100111110000110001001
3200221021121120012100011120021
4200311110002030332012021
5122411332004344211241
61231040544152500441
742262431450405610
oct4065240214760611
9627247505304507
10144401132413321
11420131a3799093
1214241aa70aa721
136275c78636704
1427930a2d68877
1511a63114ca0d1
hex83550233e189

144401132413321 has 64 divisors (see below), whose sum is σ = 178403353067520. Its totient is φ = 114157479237120.

The previous prime is 144401132413301. The next prime is 144401132413409. The reversal of 144401132413321 is 123314231104441.

It is a cyclic number.

It is not a de Polignac number, because 144401132413321 - 215 = 144401132380553 is a prime.

It is not an unprimeable number, because it can be changed into a prime (144401132413301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11960660941 + ... + 11960673013.

It is an arithmetic number, because the mean of its divisors is an integer number (2787552391680).

Almost surely, 2144401132413321 is an apocalyptic number.

It is an amenable number.

144401132413321 is a deficient number, since it is larger than the sum of its proper divisors (34002220654199).

144401132413321 is a wasteful number, since it uses less digits than its factorization.

144401132413321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20606.

The product of its (nonzero) digits is 27648, while the sum is 34.

Adding to 144401132413321 its reverse (123314231104441), we get a palindrome (267715363517762).

The spelling of 144401132413321 in words is "one hundred forty-four trillion, four hundred one billion, one hundred thirty-two million, four hundred thirteen thousand, three hundred twenty-one".

Divisors: 1 7 23 31 161 217 293 713 2051 4991 6739 8179 9083 12073 47173 57253 63581 84511 188117 208909 253549 277679 374263 1316819 1462363 1774843 1943753 2396447 2619841 3537389 5831627 8608049 16775129 24761723 40821389 55118281 60256343 74289857 81359947 98745067 109659059 385827967 520028999 569519629 691215469 767613413 1708666711 2271136541 2522158357 3061097077 11960666977 15897955787 17655108499 21427679539 28932304631 70405232771 202526132417 492836629397 665443006513 896901443561 4658101045591 6278310104927 20628733201903 144401132413321