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144300130410321 = 32171376884219761
BaseRepresentation
bin100000110011110101111110…
…000000111001111101010001
3200220220221212012020210121100
4200303311332000321331101
5122403203131341112241
61230522321553215013
742252224515504554
oct4063657600717521
9626827765223540
10144300130410321
1141a843837a1336
12142263b9861469
1362695a03681b2
14278c240bd869b
1511a389e3159b6
hex833d7e039f51

144300130410321 has 24 divisors (see below), whose sum is σ = 222305224554504. Its totient is φ = 89880373186560.

The previous prime is 144300130410307. The next prime is 144300130410343. The reversal of 144300130410321 is 123014031003441.

144300130410321 is a `hidden beast` number, since 1 + 4 + 4 + 30 + 0 + 1 + 304 + 1 + 0 + 321 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 33723107265600 + 110577023144721 = 5807160^2 + 10515561^2 .

It is not a de Polignac number, because 144300130410321 - 221 = 144300128313169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (144300130410361) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3442088920 + ... + 3442130841.

It is an arithmetic number, because the mean of its divisors is an integer number (9262717689771).

Almost surely, 2144300130410321 is an apocalyptic number.

It is an amenable number.

144300130410321 is a deficient number, since it is larger than the sum of its proper divisors (78005094144183).

144300130410321 is a wasteful number, since it uses less digits than its factorization.

144300130410321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6884219921 (or 6884219918 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 144300130410321 its reverse (123014031003441), we get a palindrome (267314161413762).

The spelling of 144300130410321 in words is "one hundred forty-four trillion, three hundred billion, one hundred thirty million, four hundred ten thousand, three hundred twenty-one".

Divisors: 1 3 9 17 51 137 153 411 1233 2329 6987 20961 6884219761 20652659283 61957977849 117031735937 351095207811 943138107257 1053285623433 2829414321771 8488242965313 16033347823369 48100043470107 144300130410321