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144746471636 = 2213233102111701
BaseRepresentation
bin1000011011001110001…
…1111110000011010100
3111211121122000121202222
42012303203332003110
54332420044043021
6150255015121512
713312644465014
oct2066343760324
9454548017688
10144746471636
1156428678578
1224077373298
131085a0441b0
147011b75c44
153b727986ab
hex21b38fe0d4

144746471636 has 48 divisors (see below), whose sum is σ = 274253969808. Its totient is φ = 66448512000.

The previous prime is 144746471599. The next prime is 144746471657. The reversal of 144746471636 is 636174647441.

144746471636 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 3813803536 + 140932668100 = 61756^2 + 375410^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12364586 + ... + 12376286.

It is an arithmetic number, because the mean of its divisors is an integer number (5713624371).

Almost surely, 2144746471636 is an apocalyptic number.

It is an amenable number.

144746471636 is a deficient number, since it is larger than the sum of its proper divisors (129507498172).

144746471636 is a wasteful number, since it uses less digits than its factorization.

144746471636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12972 (or 12970 counting only the distinct ones).

The product of its digits is 8128512, while the sum is 53.

The spelling of 144746471636 in words is "one hundred forty-four billion, seven hundred forty-six million, four hundred seventy-one thousand, six hundred thirty-six".

Divisors: 1 2 4 13 26 52 233 466 932 1021 2042 3029 4084 6058 11701 12116 13273 23402 26546 46804 53092 152113 237893 304226 475786 608452 951572 2726333 3092609 5452666 6185218 10905332 11946721 12370436 23893442 35442329 47786884 70884658 141769316 155307373 310614746 621229492 2783585993 5567171986 11134343972 36186617909 72373235818 144746471636