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144441234131441 = 1329297136200941
BaseRepresentation
bin100000110101111001011000…
…011100111000100111110001
3200221102110001221210112002112
4200311321120130320213301
5122413011121414201231
61231111215323455105
742265351301365652
oct4065713034704761
9627373057715075
10144441234131441
1142029202101495
1214249819087495
1362799997b17c0
142794dc8c53529
1511a73abda592b
hex835e587389f1

144441234131441 has 24 divisors (see below), whose sum is σ = 162761760101304. Its totient is φ = 127405628098560.

The previous prime is 144441234131387. The next prime is 144441234131443. The reversal of 144441234131441 is 144131432144441.

It is a happy number.

144441234131441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 15870694310416 + 128570539821025 = 3983804^2 + 11338895^2 .

It is not a de Polignac number, because 144441234131441 - 238 = 144166356224497 is a prime.

It is not an unprimeable number, because it can be changed into a prime (144441234131443) 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, 67039970 + ... + 69160971.

It is an arithmetic number, because the mean of its divisors is an integer number (6781740004221).

Almost surely, 2144441234131441 is an apocalyptic number.

It is an amenable number.

144441234131441 is a deficient number, since it is larger than the sum of its proper divisors (18320525969863).

144441234131441 is a wasteful number, since it uses less digits than its factorization.

144441234131441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136201109 (or 136201080 counting only the distinct ones).

The product of its digits is 294912, while the sum is 41.

Adding to 144441234131441 its reverse (144131432144441), we get a palindrome (288572666275882).

The spelling of 144441234131441 in words is "one hundred forty-four trillion, four hundred forty-one billion, two hundred thirty-four million, one hundred thirty-one thousand, four hundred forty-one".

Divisors: 1 13 29 97 377 841 1261 2813 10933 36569 81577 1060501 136200941 1770612233 3949827289 13211491277 51347754757 114544991381 171749386601 383133247033 1489084887953 4980732211429 11110864163957 144441234131441