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144304397857 = 3733732213593
BaseRepresentation
bin1000011001100100110…
…1100101111000100001
3111210110211011221120001
42012121031211320201
54331013411212412
6150143104020001
713265666100124
oct2063115457041
9453424157501
10144304397857
1156221085a44
1223b73301601
13107b9591189
146dad17c3bb
153b48a73957
hex2199365e21

144304397857 has 16 divisors (see below), whose sum is σ = 148731824592. Its totient is φ = 139905239040.

The previous prime is 144304397843. The next prime is 144304397869. The reversal of 144304397857 is 758793403441.

It can be written as a sum of positive squares in 8 ways, for example, as 3571377121 + 140733020736 = 59761^2 + 375144^2 .

It is a cyclic number.

It is not a de Polignac number, because 144304397857 - 27 = 144304397729 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 144304397798 and 144304397807.

It is not an unprimeable number, because it can be changed into a prime (144304398857) 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 15 ways as a sum of consecutive naturals, for example, 40160853 + ... + 40164445.

It is an arithmetic number, because the mean of its divisors is an integer number (9295739037).

Almost surely, 2144304397857 is an apocalyptic number.

It is an amenable number.

144304397857 is a deficient number, since it is larger than the sum of its proper divisors (4427426735).

144304397857 is a wasteful number, since it uses less digits than its factorization.

144304397857 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7188.

The product of its (nonzero) digits is 10160640, while the sum is 55.

The spelling of 144304397857 in words is "one hundred forty-four billion, three hundred four million, three hundred ninety-seven thousand, eight hundred fifty-seven".

Divisors: 1 37 337 3221 3593 12469 119177 132941 1085477 1210841 11573053 40162649 44801117 428202961 3900118861 144304397857