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144412144130031 = 31914572699204329
BaseRepresentation
bin100000110101011110010010…
…100011010101011111101111
3200221022122222121211100002220
4200311132102203111133233
5122412022032344130111
61231050005000050423
742263301361431141
oct4065362243253757
9627278877740086
10144412144130031
11420179345a9908
121424405aa63a13
136277011b0410b
142793829608c91
1511a67580d0e06
hex8357928d57ef

144412144130031 has 32 divisors (see below), whose sum is σ = 194053999104000. Its totient is φ = 95525268856320.

The previous prime is 144412144130027. The next prime is 144412144130047. The reversal of 144412144130031 is 130031441214441.

It is not a de Polignac number, because 144412144130031 - 22 = 144412144130027 is a prime.

It is a super-2 number, since 2×1444121441300312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 144412144129974 and 144412144130001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144412144130431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 706660675 + ... + 706865003.

It is an arithmetic number, because the mean of its divisors is an integer number (6064187472000).

Almost surely, 2144412144130031 is an apocalyptic number.

144412144130031 is a deficient number, since it is larger than the sum of its proper divisors (49641854973969).

144412144130031 is a wasteful number, since it uses less digits than its factorization.

144412144130031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207679.

The product of its (nonzero) digits is 18432, while the sum is 33.

Adding to 144412144130031 its reverse (130031441214441), we get a palindrome (274443585344472).

The spelling of 144412144130031 in words is "one hundred forty-four trillion, four hundred twelve billion, one hundred forty-four million, one hundred thirty thousand, thirty-one".

Divisors: 1 3 191 457 573 1371 2699 8097 87287 204329 261861 515509 612987 1233443 1546527 3700329 39026839 93378353 117080517 235587613 280135059 551483971 706762839 1654451913 17835265423 53505796269 105333438461 252028174747 316000315383 756084524241 48137381376677 144412144130031