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144117303711441 = 359320818098187
BaseRepresentation
bin100000110001001011101100…
…101100011001011011010001
3200220021110221200120012110120
4200301023230230121123101
5122342204214222231231
61230302324134420453
742233063064300054
oct4061135454313321
9626243850505416
10144117303711441
1141a138948a6485
12141b6a95501729
136255284c09178
142783459828a9b
15119dc4d89bd96
hex8312ecb196d1

144117303711441 has 8 divisors (see below), whose sum is σ = 192156461069664. Its totient is φ = 96078174413760.

The previous prime is 144117303711389. The next prime is 144117303711457.

144117303711441 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 144117303711441 - 222 = 144117299517137 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 144117303711393 and 144117303711402.

It is not an unprimeable number, because it can be changed into a prime (144117303710441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13747150 + ... + 21845336.

It is an arithmetic number, because the mean of its divisors is an integer number (24019557633708).

Almost surely, 2144117303711441 is an apocalyptic number.

It is an amenable number.

144117303711441 is a deficient number, since it is larger than the sum of its proper divisors (48039157358223).

144117303711441 is an equidigital number, since it uses as much as digits as its factorization.

144117303711441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14030271.

The product of its (nonzero) digits is 112896, while the sum is 42.

The spelling of 144117303711441 in words is "one hundred forty-four trillion, one hundred seventeen billion, three hundred three million, seven hundred eleven thousand, four hundred forty-one".

Divisors: 1 3 5932081 8098187 17796243 24294561 48039101237147 144117303711441