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144104411431441 = 5211249221450729
BaseRepresentation
bin100000110000111111101100…
…010000010000001000010001
3200220020020200012110112001201
4200300333230100100020101
5122342001313311301231
61230252352552231201
742232125436566646
oct4060775420201021
9626206605415051
10144104411431441
1141a0937950571a
12141b449799b501
136253cabc51b16
1427829954dddcd
15119d746b27161
hex830fec410211

144104411431441 has 8 divisors (see below), whose sum is σ = 144496601325000. Its totient is φ = 143712664442880.

The previous prime is 144104411431369. The next prime is 144104411431447. The reversal of 144104411431441 is 144134114401441.

It can be written as a sum of positive squares in 4 ways, for example, as 6308742381841 + 137795669049600 = 2511721^2 + 11738640^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 144104411431441 - 221 = 144104409334289 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 144104411431441.

It is not an unprimeable number, because it can be changed into a prime (144104411431447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 110074636 + ... + 111376093.

It is an arithmetic number, because the mean of its divisors is an integer number (18062075165625).

Almost surely, 2144104411431441 is an apocalyptic number.

It is an amenable number.

144104411431441 is a deficient number, since it is larger than the sum of its proper divisors (392189893559).

144104411431441 is a wasteful number, since it uses less digits than its factorization.

144104411431441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221452499.

The product of its (nonzero) digits is 49152, while the sum is 37.

Adding to 144104411431441 its reverse (144134114401441), we get a palindrome (288238525832882).

The spelling of 144104411431441 in words is "one hundred forty-four trillion, one hundred four billion, four hundred eleven million, four hundred thirty-one thousand, four hundred forty-one".

Divisors: 1 521 1249 650729 221450729 115375829809 276591960521 144104411431441