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144409378647 = 31941223277097
BaseRepresentation
bin1000011001111101111…
…0000011111101010111
3111210202010201112010110
42012133132003331113
54331222300104042
6150201334054103
713301412315432
oct2063736037527
9453663645113
10144409378647
1156275369626
1223ba24aa333
1310805259aa1
146dbd0a8819
153b52dae09c
hex219f783f57

144409378647 has 32 divisors (see below), whose sum is σ = 208555038720. Its totient is φ = 88582049280.

The previous prime is 144409378613. The next prime is 144409378699. The reversal of 144409378647 is 746873904441.

It is not a de Polignac number, because 144409378647 - 220 = 144408330071 is a prime.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144409378747) 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, 382603 + ... + 659699.

It is an arithmetic number, because the mean of its divisors is an integer number (6517344960).

Almost surely, 2144409378647 is an apocalyptic number.

144409378647 is a deficient number, since it is larger than the sum of its proper divisors (64145660073).

144409378647 is a wasteful number, since it uses less digits than its factorization.

144409378647 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277383.

The product of its (nonzero) digits is 16257024, while the sum is 57.

The spelling of 144409378647 in words is "one hundred forty-four billion, four hundred nine million, three hundred seventy-eight thousand, six hundred forty-seven".

Divisors: 1 3 19 41 57 123 223 669 779 2337 4237 9143 12711 27429 173717 277097 521151 831291 5264843 11360977 15794529 34082931 61792631 185377893 215858563 647575689 1174059989 2533497871 3522179967 7600493613 48136459549 144409378647