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144429267297 = 3759119397711
BaseRepresentation
bin1000011010000010100…
…1111011100101100001
3111210210112010222020010
42012200221323211201
54331242343023142
6150203324235133
713302043342020
oct2064051734541
9453715128203
10144429267297
1156285613227
1223ba909baa9
1310809401613
146dc19a48b7
153b549dbe9c
hex21a0a7b961

144429267297 has 32 divisors (see below), whose sum is σ = 224002805760. Its totient is φ = 81063342720.

The previous prime is 144429267289. The next prime is 144429267299. The reversal of 144429267297 is 792762924441.

It is not a de Polignac number, because 144429267297 - 23 = 144429267289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (144429267299) 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 31 ways as a sum of consecutive naturals, for example, 1429272 + ... + 1526982.

It is an arithmetic number, because the mean of its divisors is an integer number (7000087680).

Almost surely, 2144429267297 is an apocalyptic number.

It is an amenable number.

144429267297 is a deficient number, since it is larger than the sum of its proper divisors (79573538463).

144429267297 is a wasteful number, since it uses less digits than its factorization.

144429267297 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98973.

The product of its digits is 12192768, while the sum is 57.

The spelling of 144429267297 in words is "one hundred forty-four billion, four hundred twenty-nine million, two hundred sixty-seven thousand, two hundred ninety-seven".

Divisors: 1 3 7 21 59 177 413 1193 1239 3579 8351 25053 70387 97711 211161 293133 492709 683977 1478127 2051931 5764949 17294847 40354643 116569223 121063929 349707669 815984561 2447953683 6877584157 20632752471 48143089099 144429267297