Search a number
-
+
1331040432345 = 351383334724571
BaseRepresentation
bin10011010111101000001…
…100010011000011011001
311201020122111101210110120
4103113220030103003121
5133301432322313340
62455245503503453
7165110264666601
oct23275014230331
94636574353416
101331040432345
11473544695468
12195b6a8b7b89
1398693bb4c80
14485cbc67c01
152495406a4d0
hex135e83130d9

1331040432345 has 64 divisors (see below), whose sum is σ = 2321905388544. Its totient is φ = 647166723840.

The previous prime is 1331040432329. The next prime is 1331040432461. The reversal of 1331040432345 is 5432340401331.

It is not a de Polignac number, because 1331040432345 - 24 = 1331040432329 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 63 ways as a sum of consecutive naturals, for example, 54158910 + ... + 54183480.

It is an arithmetic number, because the mean of its divisors is an integer number (36279771696).

Almost surely, 21331040432345 is an apocalyptic number.

1331040432345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1331040432345 is a deficient number, since it is larger than the sum of its proper divisors (990864956199).

1331040432345 is a wasteful number, since it uses less digits than its factorization.

1331040432345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28022.

The product of its (nonzero) digits is 51840, while the sum is 33.

Adding to 1331040432345 its reverse (5432340401331), we get a palindrome (6763380833676).

The spelling of 1331040432345 in words is "one trillion, three hundred thirty-one billion, forty million, four hundred thirty-two thousand, three hundred forty-five".

Divisors: 1 3 5 13 15 39 65 83 195 249 415 1079 1245 3237 3347 5395 10041 16185 16735 24571 43511 50205 73713 122855 130533 217555 277801 319423 368565 652665 833403 958269 1389005 1597115 2039393 3611413 4167015 4791345 6118179 10196965 10834239 18057065 26512109 30590895 54171195 79536327 82239137 132560545 246717411 397681635 411195685 1069108781 1233587055 3207326343 5345543905 6825848371 16036631715 20477545113 34129241855 88736028823 102387725565 266208086469 443680144115 1331040432345