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144131334204234 = 23132895772767927
BaseRepresentation
bin100000110001011000110000…
…111110011110101101001010
3200220022211011111102002021210
4200301120300332132231022
5122342421433024013414
61230313004300513550
742234100552435626
oct4061306076365512
9626284144362253
10144131334204234
1141a19834731373
12141b975024b8b6
1362566ac933400
142783dcad9c186
15119e2c0504e59
hex831630f9eb4a

144131334204234 has 96 divisors (see below), whose sum is σ = 316196801573760. Its totient is φ = 43773797523456.

The previous prime is 144131334204233. The next prime is 144131334204349. The reversal of 144131334204234 is 432402433131441.

144131334204234 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 144131334204192 and 144131334204201.

It is not an unprimeable number, because it can be changed into a prime (144131334204233) 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 47 ways as a sum of consecutive naturals, for example, 50687979 + ... + 53455905.

It is an arithmetic number, because the mean of its divisors is an integer number (3293716683060).

Almost surely, 2144131334204234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144131334204234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158098400786880).

144131334204234 is an abundant number, since it is smaller than the sum of its proper divisors (172065467369526).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

144131334204234 is a wasteful number, since it uses less digits than its factorization.

144131334204234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2768624 (or 2768611 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 39.

Adding to 144131334204234 its reverse (432402433131441), we get a palindrome (576533767335675).

The spelling of 144131334204234 in words is "one hundred forty-four trillion, one hundred thirty-one billion, three hundred thirty-four million, two hundred four thousand, two hundred thirty-four".

Divisors: 1 2 3 6 13 26 39 78 89 169 178 267 338 507 534 577 1014 1154 1157 1731 2314 3462 3471 6942 7501 15002 15041 22503 30082 45006 45123 51353 90246 97513 102706 154059 195026 292539 308118 585078 667589 1335178 2002767 2767927 4005534 5535854 8303781 8678657 16607562 17357314 26035971 35983051 52071942 71966102 107949153 215898306 246345503 467779663 492691006 739036509 935559326 1403338989 1478073018 1597093879 2806677978 3194187758 3202491539 4791281637 6404983078 9582563274 9607474617 19214949234 20762220427 41524440854 41632390007 62286661281 83264780014 124573322562 124897170021 142141355231 249794340042 269908865551 284282710462 426424065693 539817731102 809726596653 852848131386 1619453193306 1847837618003 3695675236006 5543512854009 11087025708018 24021889034039 48043778068078 72065667102117 144131334204234