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1330195462281 = 3472183072
BaseRepresentation
bin10011010110110101110…
…100111111100010001001
311201011110121102212110000
4103112311310333202021
5133243220014243111
62455030001113213
7165050324605200
oct23266564774211
94634417385400
101330195462281
114731507299a4
12195973928809
139858ab1829a
144854b954237
1524904cadc56
hex135b5d3f889

1330195462281 has 45 divisors (see below), whose sum is σ = 2311629949629. Its totient is φ = 760070172456.

The previous prime is 1330195462223. The next prime is 1330195462303. The reversal of 1330195462281 is 1822645910331.

The square root of 1330195462281 is 1153341.

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

1330195462281 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 1 + 9 + 546 + 22 + 81 = 666.

It is not a de Polignac number, because 1330195462281 - 217 = 1330195331209 is a prime.

It is a super-2 number, since 2×13301954622812 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1330195462081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 72651330 + ... + 72669636.

Almost surely, 21330195462281 is an apocalyptic number.

1330195462281 is the 1153341-st square number.

1330195462281 is the 576671-st centered octagonal number.

It is an amenable number.

1330195462281 is a deficient number, since it is larger than the sum of its proper divisors (981434487348).

1330195462281 is an frugal number, since it uses more digits than its factorization.

1330195462281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36640 (or 18317 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 1330195462281 in words is "one trillion, three hundred thirty billion, one hundred ninety-five million, four hundred sixty-two thousand, two hundred eighty-one".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 441 567 1323 3969 18307 54921 128149 164763 384447 494289 897043 1153341 1482867 2691129 3460023 8073387 10380069 24220161 72660483 335146249 1005438747 2346023743 3016316241 7038071229 9048948723 16422166201 21114213687 27146846169 49266498603 63342641061 147799495809 190027923183 443398487427 1330195462281