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144111406307 = 11711011826947
BaseRepresentation
bin1000011000110110110…
…1011000110011100011
3111202222101000221220212
42012031231120303203
54330120010000212
6150112011324335
713261133512421
oct2061555306343
9452871027825
10144111406307
115613214a5a0
1223b1a7506ab
13107885bbbab
146d916a2111
153b36b50e22
hex218db58ce3

144111406307 has 16 divisors (see below), whose sum is σ = 161005273344. Its totient is φ = 127886220000.

The previous prime is 144111406289. The next prime is 144111406349. The reversal of 144111406307 is 703604111441.

144111406307 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 144111406307 - 28 = 144111406051 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (144111406007) 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 15 ways as a sum of consecutive naturals, for example, 834593 + ... + 992354.

It is an arithmetic number, because the mean of its divisors is an integer number (10062829584).

Almost surely, 2144111406307 is an apocalyptic number.

144111406307 is a deficient number, since it is larger than the sum of its proper divisors (16893867037).

144111406307 is a wasteful number, since it uses less digits than its factorization.

144111406307 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1827130.

The product of its (nonzero) digits is 8064, while the sum is 32.

Adding to 144111406307 its reverse (703604111441), we get a palindrome (847715517748).

The spelling of 144111406307 in words is "one hundred forty-four billion, one hundred eleven million, four hundred six thousand, three hundred seven".

Divisors: 1 11 71 101 781 1111 7171 78881 1826947 20096417 129713237 184521647 1426845607 2029738117 13101036937 144111406307