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144344848443441 = 33719310336522599
BaseRepresentation
bin100000110100011111100111…
…011010101010100000110001
3200221002020021200010020211020
4200310133213122222200301
5122404421222200142231
61230555035152010053
742255366622511142
oct4064374732524061
9627066250106736
10144344848443441
1141aa134097a4a8
1214232bb9830929
136270878a23619
142790483c29ac9
1511a4b1a108396
hex8347e76aa831

144344848443441 has 32 divisors (see below), whose sum is σ = 198877935379200. Its totient is φ = 93053783384064.

The previous prime is 144344848443437. The next prime is 144344848443451.

144344848443441 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 144344848443441 - 22 = 144344848443437 is a prime.

It is not an unprimeable number, because it can be changed into a prime (144344848443431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18868660 + ... + 25391258.

It is an arithmetic number, because the mean of its divisors is an integer number (6214935480600).

Almost surely, 2144344848443441 is an apocalyptic number.

It is an amenable number.

144344848443441 is a deficient number, since it is larger than the sum of its proper divisors (54533086935759).

144344848443441 is a wasteful number, since it uses less digits than its factorization.

144344848443441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6523865.

The product of its digits is 150994944, while the sum is 60.

The spelling of 144344848443441 in words is "one hundred forty-four trillion, three hundred forty-four billion, eight hundred forty-eight million, four hundred forty-three thousand, four hundred forty-one".

Divisors: 1 3 37 111 193 579 1033 3099 7141 21423 38221 114663 199369 598107 6522599 7376653 19567797 22129959 241336163 724008489 1258861607 3776584821 6737844767 20213534301 46577879459 139733638377 249300256379 747900769137 1300404040031 3901212120093 48114949481147 144344848443441