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144442220010341 = 11972695776191409
BaseRepresentation
bin100000110101111010010011…
…001101101101101101100101
3200221102112121122220100200212
4200311322103031231231211
5122413020131310312331
61231111501222345205
742265414602254321
oct4065722315555545
9627375548810625
10144442220010341
114202966865a940
1214249a5328b205
136279ac5b163b6
14279507db66981
1511a74186e7d2b
hex835e9336db65

144442220010341 has 64 divisors (see below), whose sum is σ = 160438918752000. Its totient is φ = 128949493432320.

The previous prime is 144442220010317. The next prime is 144442220010391. The reversal of 144442220010341 is 143010022244441.

It is a de Polignac number, because none of the positive numbers 2k-144442220010341 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 144442220010298 and 144442220010307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144442220010391) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 102513995045 + ... + 102513996453.

It is an arithmetic number, because the mean of its divisors is an integer number (2506858105500).

Almost surely, 2144442220010341 is an apocalyptic number.

144442220010341 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

144442220010341 is a deficient number, since it is larger than the sum of its proper divisors (15996698741659).

144442220010341 is a wasteful number, since it uses less digits than its factorization.

144442220010341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2982.

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 144442220010341 its reverse (143010022244441), we get a palindrome (287452242254782).

The spelling of 144442220010341 in words is "one hundred forty-four trillion, four hundred forty-two billion, two hundred twenty million, ten thousand, three hundred forty-one".

Divisors: 1 11 97 269 577 619 1067 1409 2959 6347 6809 15499 26093 55969 60043 136673 155213 166511 287023 357163 379021 615659 660473 812993 872171 1503403 1707343 1831621 3928793 4169231 8942923 9593881 15055661 16151567 34644811 36765037 78860321 84600587 96076847 165612271 177667237 218695117 234613999 381092921 404415407 503242667 867463531 930606457 1056845317 2405646287 2580753989 5535669337 9319454159 21213426349 22757557903 48814538699 102513995749 135372277423 233347689839 250333136933 536959925689 1489095051653 13131110910031 144442220010341