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144364345704 = 23322152993133
BaseRepresentation
bin1000011001110011001…
…0010001100101101000
3111210121222222121112200
42012130302101211220
54331124233030304
6150153044540200
713300324456155
oct2063462214550
9453558877480
10144364345704
1156251a00717
1223b8b3b1660
13107c8b20487
146db710522c
153b4de65e39
hex219cc91968

144364345704 has 48 divisors (see below), whose sum is σ = 391009128900. Its totient is φ = 48118696704.

The previous prime is 144364345693. The next prime is 144364345717. The reversal of 144364345704 is 407543463441.

144364345704 is a `hidden beast` number, since 1 + 4 + 4 + 36 + 43 + 4 + 570 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 126948264804 + 17416080900 = 356298^2 + 131970^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 144364345704.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1503522 + ... + 1596654.

Almost surely, 2144364345704 is an apocalyptic number.

It is an amenable number.

144364345704 is an abundant number, since it is smaller than the sum of its proper divisors (246644783196).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

144364345704 is a wasteful number, since it uses less digits than its factorization.

144364345704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114674 (or 114667 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 45.

The spelling of 144364345704 in words is "one hundred forty-four billion, three hundred sixty-four million, three hundred forty-five thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 21529 43058 64587 86116 93133 129174 172232 186266 193761 258348 279399 372532 387522 516696 558798 745064 775044 838197 1117596 1550088 1676394 2235192 3352788 6705576 2005060357 4010120714 6015181071 8020241428 12030362142 16040482856 18045543213 24060724284 36091086426 48121448568 72182172852 144364345704