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1466349043041 = 32211219132
BaseRepresentation
bin10101010101101001001…
…101101011110101100001
312012011220101102101221100
4111111221031223311201
5143011040323334131
63041344220545013
7210640332133221
oct25255115536541
95164811371840
101466349043041
11515969897363
121b82313b2169
13a837883c55c
1450d863aa081
1528222e957e6
hex1556936bd61

1466349043041 has 27 divisors (see below), whose sum is σ = 2129258547507. Its totient is φ = 972424424160.

The previous prime is 1466349043031. The next prime is 1466349043043. The reversal of 1466349043041 is 1403409436641.

The square root of 1466349043041 is 1210929.

It is a perfect power (a square), and thus also a powerful number.

1466349043041 is a `hidden beast` number, since 1 + 4 + 6 + 634 + 9 + 0 + 4 + 3 + 0 + 4 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1276685309025 + 189663734016 = 1129905^2 + 435504^2 .

It is a de Polignac number, because none of the positive numbers 2k-1466349043041 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1466349043043) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 766517101 + ... + 766519013.

Almost surely, 21466349043041 is an apocalyptic number.

1466349043041 is the 1210929-th square number.

1466349043041 is the 605465-th centered octagonal number.

It is an amenable number.

1466349043041 is a deficient number, since it is larger than the sum of its proper divisors (662909504466).

1466349043041 is an frugal number, since it uses more digits than its factorization.

1466349043041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4254 (or 2127 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 1466349043041 in words is "one trillion, four hundred sixty-six billion, three hundred forty-nine million, forty-three thousand, forty-one".

Divisors: 1 3 9 211 633 1899 1913 5739 17217 44521 133563 400689 403643 1210929 3632787 3659569 10978707 32936121 85168673 255506019 766518057 772169059 2316507177 6949521531 162927671449 488783014347 1466349043041