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144318747146 = 27219392919727
BaseRepresentation
bin1000011001101000010…
…0010101001000001010
3111210111211011222002012
42012122010111020022
54331031044402041
6150144335335522
713266232052600
oct2063204251012
9453454158065
10144318747146
1156229196862
1223b780815a2
13107bc546592
146db1035870
153b49e5a3eb
hex219a11520a

144318747146 has 48 divisors (see below), whose sum is σ = 265156156800. Its totient is φ = 58577698368.

The previous prime is 144318747107. The next prime is 144318747217. The reversal of 144318747146 is 641747813441.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 144318747094 and 144318747103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7305935 + ... + 7325661.

It is an arithmetic number, because the mean of its divisors is an integer number (5524086600).

Almost surely, 2144318747146 is an apocalyptic number.

144318747146 is a deficient number, since it is larger than the sum of its proper divisors (120837409654).

144318747146 is a wasteful number, since it uses less digits than its factorization.

144318747146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23691 (or 23684 counting only the distinct ones).

The product of its digits is 1806336, while the sum is 50.

The spelling of 144318747146 in words is "one hundred forty-four billion, three hundred eighteen million, seven hundred forty-seven thousand, one hundred forty-six".

Divisors: 1 2 7 14 19 38 49 98 133 266 931 1862 3929 7858 19727 27503 39454 55006 74651 138089 149302 192521 276178 374813 385042 522557 749626 966623 1045114 1933246 2623691 3657899 5247382 7315798 18365837 36731674 77507383 155014766 542551681 1085103362 1472640277 2945280554 3797861767 7595723534 10308481939 20616963878 72159373573 144318747146