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144313313441 = 1183219157649
BaseRepresentation
bin1000011001100110111…
…1100110100010100001
3111210111102221220102212
42012121233212202201
54331023202012231
6150144023051505
713266134632103
oct2063157464241
9453442856385
10144313313441
11562261153a0
1223b762a0b95
13107bb39327b
146db041d573
153b4973542b
hex2199be68a1

144313313441 has 8 divisors (see below), whose sum is σ = 157435596000. Its totient is φ = 131191512640.

The previous prime is 144313313423. The next prime is 144313313453.

144313313441 is nontrivially palindromic in base 10.

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

It is a cyclic number.

It is not a de Polignac number, because 144313313441 - 218 = 144313051297 is a prime.

It is a super-2 number, since 2×1443133134412 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 144313313398 and 144313313407.

It is not an unprimeable number, because it can be changed into a prime (144313313491) 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, 836585 + ... + 994233.

It is an arithmetic number, because the mean of its divisors is an integer number (19679449500).

Almost surely, 2144313313441 is an apocalyptic number.

144313313441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

144313313441 is a deficient number, since it is larger than the sum of its proper divisors (13122282559).

144313313441 is a wasteful number, since it uses less digits than its factorization.

144313313441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240879.

The product of its digits is 20736, while the sum is 32.

It can be divided in two parts, 144313 and 313441, that added together give a palindrome (457754).

The spelling of 144313313441 in words is "one hundred forty-four billion, three hundred thirteen million, three hundred thirteen thousand, four hundred forty-one".

Divisors: 1 11 83219 157649 915409 1734139 13119392131 144313313441