Search a number
-
+
1313140444304 = 241329432750311
BaseRepresentation
bin10011000110111101010…
…001010000110010010000
311122112110000102012001112
4103012331101100302100
5133003302423204204
62443125352552452
7163604562416543
oct23067521206220
94575400365045
101313140444304
11466999602517
121925b40b2728
1396aa0600780
14477b083285a
152425786a26e
hex131bd450c90

1313140444304 has 80 divisors (see below), whose sum is σ = 2835109374720. Its totient is φ = 585019169280.

The previous prime is 1313140444261. The next prime is 1313140444337. The reversal of 1313140444304 is 4034440413131.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26075309 + ... + 26125619.

It is an arithmetic number, because the mean of its divisors is an integer number (35438867184).

Almost surely, 21313140444304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1313140444304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1417554687360).

1313140444304 is an abundant number, since it is smaller than the sum of its proper divisors (1521968930416).

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

1313140444304 is a wasteful number, since it uses less digits than its factorization.

1313140444304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54688 (or 54682 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 1313140444304 its reverse (4034440413131), we get a palindrome (5347580857435).

The spelling of 1313140444304 in words is "one trillion, three hundred thirteen billion, one hundred forty million, four hundred forty-four thousand, three hundred four".

Divisors: 1 2 4 8 13 16 26 29 52 58 104 116 208 232 377 464 754 1508 3016 4327 6032 8654 17308 34616 50311 56251 69232 100622 112502 125483 201244 225004 250966 402488 450008 501932 654043 804976 900016 1003864 1308086 1459019 1631279 2007728 2616172 2918038 3262558 5232344 5836076 6525116 10464688 11672152 13050232 18967247 23344304 26100464 37934494 75868988 151737976 217695697 303475952 435391394 870782788 1741565576 2830044061 3483131152 5660088122 6313175213 11320176244 12626350426 22640352488 25252700852 45280704976 50505401704 82071277769 101010803408 164142555538 328285111076 656570222152 1313140444304