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144451154441 = 11191097198819
BaseRepresentation
bin1000011010000111110…
…1011011001000001001
3111210212001022221202002
42012201331123020021
54331313443420231
6150205425320345
713302430360646
oct2064175331011
9453761287662
10144451154441
1156296a02380
1223bb44960b5
1310810ac59a9
146dc4860dcd
153b568b20cb
hex21a1f5b209

144451154441 has 32 divisors (see below), whose sum is σ = 167650560000. Its totient is φ = 123080938560.

The previous prime is 144451154417. The next prime is 144451154467.

144451154441 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 144451154441 - 26 = 144451154377 is a prime.

It is a super-2 number, since 2×1444511544412 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 144451154395 and 144451154404.

It is not an unprimeable number, because it can be changed into a prime (144451154641) 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, 16375130 + ... + 16383948.

It is an arithmetic number, because the mean of its divisors is an integer number (5239080000).

Almost surely, 2144451154441 is an apocalyptic number.

144451154441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

144451154441 is a deficient number, since it is larger than the sum of its proper divisors (23199405559).

144451154441 is a wasteful number, since it uses less digits than its factorization.

144451154441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9677.

The product of its digits is 102400, while the sum is 38.

It can be divided in two parts, 144451 and 154441, that added together give a palindrome (298892).

The spelling of 144451154441 in words is "one hundred forty-four billion, four hundred fifty-one million, one hundred fifty-four thousand, four hundred forty-one".

Divisors: 1 11 19 109 209 719 1199 2071 7909 8819 13661 22781 78371 97009 150271 167561 862081 961271 1489049 1843171 6340861 10573981 16379539 18264149 69749471 120476359 200905639 691153849 1325239949 7602692339 13131923131 144451154441