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144699996441 = 37111351199413
BaseRepresentation
bin1000011011000011001…
…0101011100100011001
3111211111101120102210110
42012300302223210121
54332321144341231
6150250235034533
713311541450560
oct2066062534431
9454441512713
10144699996441
1156404415020
122406389ba49
1310850521290
147009918bd7
153b6d668046
hex21b0cab919

144699996441 has 64 divisors (see below), whose sum is σ = 259121479680. Its totient is φ = 69365687040.

The previous prime is 144699996431. The next prime is 144699996461.

144699996441 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 144699996441 - 226 = 144632887577 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (144699996431) 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 63 ways as a sum of consecutive naturals, for example, 15367651 + ... + 15377063.

It is an arithmetic number, because the mean of its divisors is an integer number (4048773120).

Almost surely, 2144699996441 is an apocalyptic number.

144699996441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

144699996441 is a deficient number, since it is larger than the sum of its proper divisors (114421483239).

144699996441 is a wasteful number, since it uses less digits than its factorization.

144699996441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14566.

The product of its digits is 60466176, while the sum is 66.

The spelling of 144699996441 in words is "one hundred forty-four billion, six hundred ninety-nine million, nine hundred ninety-six thousand, four hundred forty-one".

Divisors: 1 3 7 11 13 21 33 39 77 91 143 231 273 429 1001 3003 5119 9413 15357 28239 35833 56309 65891 66547 103543 107499 122369 168927 197673 199641 310629 367107 394163 465829 724801 732017 856583 1182489 1346059 1397487 2174403 2196051 2569749 4038177 5124119 9422413 15372357 28267239 48185147 144555441 337296029 530036617 626406911 1011888087 1590109851 1879220733 3710256319 4384848377 6890476021 11130768957 13154545131 20671428063 48233332147 144699996441