Search a number
-
+
1307407424541 = 323281499135131
BaseRepresentation
bin10011000001100111100…
…011100001110000011101
311121222122110201121102020
4103001213203201300131
5132410032300041131
62440340434250353
7163312526514321
oct23014743416035
94558573647366
101307407424541
11464517452959
121914741269b9
139639894119a
14473c927d981
152401e3bc996
hex130678e1c1d

1307407424541 has 32 divisors (see below), whose sum is σ = 1829146752000. Its totient is φ = 829071196800.

The previous prime is 1307407424537. The next prime is 1307407424551. The reversal of 1307407424541 is 1454247047031.

It is not a de Polignac number, because 1307407424541 - 22 = 1307407424537 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1307407424493 and 1307407424502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1307407424551) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 9607546 + ... + 9742676.

It is an arithmetic number, because the mean of its divisors is an integer number (57160836000).

Almost surely, 21307407424541 is an apocalyptic number.

It is an amenable number.

1307407424541 is a deficient number, since it is larger than the sum of its proper divisors (521739327459).

1307407424541 is a wasteful number, since it uses less digits than its factorization.

1307407424541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135937.

The product of its (nonzero) digits is 376320, while the sum is 42.

The spelling of 1307407424541 in words is "one trillion, three hundred seven billion, four hundred seven million, four hundred twenty-four thousand, five hundred forty-one".

Divisors: 1 3 23 69 281 499 843 1497 6463 11477 19389 34431 135131 140219 405393 420657 3108013 3225037 9324039 9675111 37971811 67430369 113915433 202291107 873351653 1550898487 2620054959 4652695461 18947933689 56843801067 435802474847 1307407424541