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144566622000345 = 3533785336719133
BaseRepresentation
bin100000110111101110001010…
…001001101001010011011001
3200221212102201110012020021010
4200313232022021221103121
5122422034420213002340
61231244553405004133
742310410442603656
oct4067561211512331
9627772643166233
10144566622000345
11420773a6303226
1214269b91253649
13628875ccac47c
14279b0c1984c2d
1511aa799d7bb80
hex837b8a2694d9

144566622000345 has 64 divisors (see below), whose sum is σ = 232353646447104. Its totient is φ = 76753966141440.

The previous prime is 144566622000329. The next prime is 144566622000347. The reversal of 144566622000345 is 543000226665441.

It is not a de Polignac number, because 144566622000345 - 24 = 144566622000329 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 144566622000294 and 144566622000303.

It is not an unprimeable number, because it can be changed into a prime (144566622000347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15829035399 + ... + 15829044531.

It is an arithmetic number, because the mean of its divisors is an integer number (3630525725736).

Almost surely, 2144566622000345 is an apocalyptic number.

144566622000345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

144566622000345 is a deficient number, since it is larger than the sum of its proper divisors (87787024446759).

144566622000345 is a wasteful number, since it uses less digits than its factorization.

144566622000345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14002.

The product of its (nonzero) digits is 4147200, while the sum is 48.

Adding to 144566622000345 its reverse (543000226665441), we get a palindrome (687566848665786).

The spelling of 144566622000345 in words is "one hundred forty-four trillion, five hundred sixty-six billion, six hundred twenty-two million, three hundred forty-five", and thus it is an aban number.

Divisors: 1 3 5 15 337 853 1011 1685 2559 3671 4265 5055 9133 11013 12795 18355 27399 45665 55065 136995 287461 862383 1237127 1437305 3077821 3131363 3711381 4311915 6185635 7790449 9233463 9394089 15389105 15656815 18556905 23371347 33527243 38952245 46167315 46970445 100581729 116856735 167636215 502908645 1055269331 2625381313 3165807993 5276346655 7876143939 11298680891 13126906565 15829039965 28598738279 33896042673 39380719695 56493404455 85796214837 142993691395 169480213365 428981074185 9637774800023 28913324400069 48188874000115 144566622000345