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144042102342441 = 32173361280110577
BaseRepresentation
bin100000110000000101101010…
…010101111100001100101001
3200220000021211202220211200200
4200300011222111330030221
5122334441211144424231
61230204010040222413
742224461401224232
oct4060055225741451
9626007752824620
10144042102342441
1141994a04669946
12141a43a876aa09
13624b15bcb97a4
14277d9640d4089
15119bceb809be6
hex83016a57c329

144042102342441 has 24 divisors (see below), whose sum is σ = 220365232597224. Its totient is φ = 90352467394560.

The previous prime is 144042102342421. The next prime is 144042102342491. The reversal of 144042102342441 is 144243201240441.

144042102342441 is a `hidden beast` number, since 1 + 4 + 40 + 42 + 102 + 34 + 2 + 441 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 62719509789225 + 81322592553216 = 7919565^2 + 9017904^2 .

It is not a de Polignac number, because 144042102342441 - 227 = 144041968124713 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 144042102342396 and 144042102342405.

It is not an unprimeable number, because it can be changed into a prime (144042102342421) 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, 139541056 + ... + 140569521.

It is an arithmetic number, because the mean of its divisors is an integer number (9181884691551).

Almost surely, 2144042102342441 is an apocalyptic number.

It is an amenable number.

144042102342441 is a deficient number, since it is larger than the sum of its proper divisors (76323130254783).

144042102342441 is a wasteful number, since it uses less digits than its factorization.

144042102342441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280113961 (or 280113958 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 144042102342441 its reverse (144243201240441), we get a palindrome (288285303582882).

The spelling of 144042102342441 in words is "one hundred forty-four trillion, forty-two billion, one hundred two million, three hundred forty-two thousand, four hundred forty-one".

Divisors: 1 3 9 17 51 153 3361 10083 30249 57137 171411 514233 280110577 840331731 2520995193 4761879809 14285639427 42856918281 941451649297 2824354947891 8473064843673 16004678038049 48014034114147 144042102342441