Search a number
-
+
13301410241040 = 2435167331871513
BaseRepresentation
bin1100000110001111100111…
…0101010001101000010000
31202002121021011001020001020
43001203321311101220100
53220412242010203130
644142330012035440
72541665226361665
oct301437165215020
952077234036036
1013301410241040
11426910734aa59
1215a9a9b462b80
13756418a0cc7c
1433db12583a6c
15181000a5ee10
hexc18f9d51a10

13301410241040 has 80 divisors (see below), whose sum is σ = 41481284277888. Its totient is φ = 3525802943488.

The previous prime is 13301410241017. The next prime is 13301410241081. The reversal of 13301410241040 is 4014201410331.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 13301410241040.

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 15 ways as a sum of consecutive naturals, for example, 165895677 + ... + 165975836.

Almost surely, 213301410241040 is an apocalyptic number.

13301410241040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13301410241040 is an abundant number, since it is smaller than the sum of its proper divisors (28179874036848).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13301410241040 is a wasteful number, since it uses less digits than its factorization.

13301410241040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331871696 (or 331871690 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 13301410241040 its reverse (4014201410331), we get a palindrome (17315611651371).

The spelling of 13301410241040 in words is "thirteen trillion, three hundred one billion, four hundred ten million, two hundred forty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 167 240 334 501 668 835 1002 1336 1670 2004 2505 2672 3340 4008 5010 6680 8016 10020 13360 20040 40080 331871513 663743026 995614539 1327486052 1659357565 1991229078 2654972104 3318715130 3982458156 4978072695 5309944208 6637430260 7964916312 9956145390 13274860520 15929832624 19912290780 26549721040 39824581560 55422542671 79649163120 110845085342 166267628013 221690170684 277112713355 332535256026 443380341368 554225426710 665070512052 831338140065 886760682736 1108450853420 1330141024104 1662676280130 2216901706840 2660282048208 3325352560260 4433803413680 6650705120520 13301410241040