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1313402660145 = 32571972755837
BaseRepresentation
bin10011000111001100111…
…001100010010100110001
311122120010021211010120100
4103013030321202110301
5133004322040111040
62443211401103013
7163614225260322
oct23071471422461
94576107733510
101313402660145
1146701361a124
12192667a87a69
1396b12a2c484
14477d75ac449
15242708b3b30
hex131cce62531

1313402660145 has 48 divisors (see below), whose sum is σ = 2282907594240. Its totient is φ = 698532481152.

The previous prime is 1313402660137. The next prime is 1313402660179. The reversal of 1313402660145 is 5410662043131.

1313402660145 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 4 + 0 + 2 + 6 + 601 + 45 = 666.

It is not a de Polignac number, because 1313402660145 - 23 = 1313402660137 is a prime.

It is a Curzon 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 47 ways as a sum of consecutive naturals, for example, 23494167 + ... + 23550003.

It is an arithmetic number, because the mean of its divisors is an integer number (47560574880).

Almost surely, 21313402660145 is an apocalyptic number.

1313402660145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1313402660145 is a deficient number, since it is larger than the sum of its proper divisors (969504934095).

1313402660145 is a wasteful number, since it uses less digits than its factorization.

1313402660145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57294 (or 57291 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 1313402660145 in words is "one trillion, three hundred thirteen billion, four hundred two million, six hundred sixty thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 45 719 727 2157 2181 3595 3635 6471 6543 10785 10905 32355 32715 55837 167511 279185 502533 522713 837555 1568139 2512665 2613565 4704417 7840695 23522085 40146803 40593499 120440409 121780497 200734015 202967495 361321227 365341491 602202045 608902485 1806606135 1826707455 29186725781 87560177343 145933628905 262680532029 437800886715 1313402660145