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144446101644441 = 31937367991188317
BaseRepresentation
bin100000110101111101111010…
…100100111110010010011001
3200221102220122011212210122210
4200311331322210332102121
5122413101104010110231
61231113342323305333
742265613024513652
oct4065757244762231
9627386564783583
10144446101644441
114203027a749003
121424a75721b249
13627a2940638cc
14279532b4a8529
1511a759438ba46
hex835f7a93e499

144446101644441 has 64 divisors (see below), whose sum is σ = 208989712056320. Its totient is φ = 88431807594240.

The previous prime is 144446101644431. The next prime is 144446101644469.

144446101644441 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 144446101644441 - 235 = 144411741906073 is a prime.

It is not an unprimeable number, because it can be changed into a prime (144446101644431) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 766942815 + ... + 767131131.

It is an arithmetic number, because the mean of its divisors is an integer number (3265464250880).

Almost surely, 2144446101644441 is an apocalyptic number.

It is an amenable number.

144446101644441 is a deficient number, since it is larger than the sum of its proper divisors (64543610411879).

144446101644441 is a wasteful number, since it uses less digits than its factorization.

144446101644441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189734.

The product of its (nonzero) digits is 2359296, while the sum is 48.

The spelling of 144446101644441 in words is "one hundred forty-four trillion, four hundred forty-six billion, one hundred one million, six hundred forty-four thousand, four hundred forty-one".

Divisors: 1 3 19 37 57 111 367 703 991 1101 2109 2973 6973 13579 18829 20919 36667 40737 56487 110001 188317 258001 363697 564951 696673 774003 1091091 2090019 3578023 6910243 6967729 10734069 13456789 20730729 20903187 40370367 69112339 132386851 186622147 207337017 255678991 397160553 559866441 767036973 1313134441 2557156543 3545820793 3939403323 6905019439 7671469629 10637462379 20715058317 48585974317 68490327949 131195369341 145757922951 205470983847 393586108023 1301316231031 2534142134113 3903948693093 7602426402339 48148700548147 144446101644441