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144443142117 = 3289486137097
BaseRepresentation
bin1000011010000101111…
…0110110111111100101
3111210211111020212220100
42012201132312333211
54331304421021432
6150204541454313
713302302310261
oct2064136667745
9453744225810
10144443142117
115629242a61a
1223bb1871399
131080c24ba81
146dc37770a1
153b55d2d07c
hex21a17b6fe5

144443142117 has 24 divisors (see below), whose sum is σ = 211033456920. Its totient is φ = 95191303680.

The previous prime is 144443142101. The next prime is 144443142127. The reversal of 144443142117 is 711241344441.

144443142117 is a `hidden beast` number, since 1 + 4 + 4 + 4 + 431 + 4 + 211 + 7 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13973367681 + 130469774436 = 118209^2 + 361206^2 .

It is not a de Polignac number, because 144443142117 - 24 = 144443142101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144443142127) 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, 3875113 + ... + 3912209.

It is an arithmetic number, because the mean of its divisors is an integer number (8793060705).

Almost surely, 2144443142117 is an apocalyptic number.

It is an amenable number.

144443142117 is a deficient number, since it is larger than the sum of its proper divisors (66590314803).

144443142117 is a wasteful number, since it uses less digits than its factorization.

144443142117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42053 (or 42050 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

Adding to 144443142117 its reverse (711241344441), we get a palindrome (855684486558).

The spelling of 144443142117 in words is "one hundred forty-four billion, four hundred forty-three million, one hundred forty-two thousand, one hundred seventeen".

Divisors: 1 3 9 89 267 801 4861 14583 37097 43749 111291 333873 432629 1297887 3301633 3893661 9904899 29714697 180328517 540985551 1622956653 16049238013 48147714039 144443142117