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144311241304041 = 3747951193280243
BaseRepresentation
bin100000110100000000010100…
…010001100110011111101001
3200220222000112112100200102120
4200310000110101212133221
5122403343410233212131
61230531400302221453
742253100042523660
oct4064002421463751
9626860475320376
10144311241304041
1141a89065591229
121422859a884889
13626a65124b916
14278c9b66d3dd7
1511a3cee9ac496
hex8340144667e9

144311241304041 has 32 divisors (see below), whose sum is σ = 220367022120960. Its totient is φ = 82289507589504.

The previous prime is 144311241303979. The next prime is 144311241304057. The reversal of 144311241304041 is 140403142113441.

It is not a de Polignac number, because 144311241304041 - 29 = 144311241303529 is a prime.

It is a super-3 number, since 3×1443112413040413 (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 144311241303993 and 144311241304011.

It is not an unprimeable number, because it can be changed into a prime (144311241304441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 514810266 + ... + 515090508.

It is an arithmetic number, because the mean of its divisors is an integer number (6886469441280).

Almost surely, 2144311241304041 is an apocalyptic number.

It is an amenable number.

144311241304041 is a deficient number, since it is larger than the sum of its proper divisors (76055780816919).

144311241304041 is a wasteful number, since it uses less digits than its factorization.

144311241304041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331925.

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

Adding to 144311241304041 its reverse (140403142113441), we get a palindrome (284714383417482).

The spelling of 144311241304041 in words is "one hundred forty-four trillion, three hundred eleven billion, two hundred forty-one million, three hundred four thousand, forty-one".

Divisors: 1 3 7 21 479 1437 3353 10059 51193 153579 280243 358351 840729 1075053 1961701 5885103 24521447 73564341 134236397 171650129 402709191 514950387 939654779 2818964337 14346479899 43039439697 100425359293 301276077879 6871963871621 20615891614863 48103747101347 144311241304041