Search a number
-
+
340313141444133 = 311131746662983881
BaseRepresentation
bin100110101100000110101001…
…1111010000111111000100101
31122121221121200221202011020210
41031120031103322013320211
5324101142303202203013
63203441410544250033
7131452545615100404
oct11530152372077045
91577847627664223
10340313141444133
1199485aa1444320
1232202b72610919
13117b7512294610
14600735b4bb63b
1529524d47cacc3
hex1358353e87e25

340313141444133 has 32 divisors (see below), whose sum is σ = 564435453036672. Its totient is φ = 179185858099200.

The previous prime is 340313141444053. The next prime is 340313141444141. The reversal of 340313141444133 is 331444141313043.

It is a happy number.

It is not a de Polignac number, because 340313141444133 - 210 = 340313141443109 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 340313141444091 and 340313141444100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340313141440133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23331484648 + ... + 23331499233.

It is an arithmetic number, because the mean of its divisors is an integer number (17638607907396).

Almost surely, 2340313141444133 is an apocalyptic number.

340313141444133 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

340313141444133 is a deficient number, since it is larger than the sum of its proper divisors (224122311592539).

340313141444133 is a wasteful number, since it uses less digits than its factorization.

340313141444133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46662983925.

The product of its (nonzero) digits is 248832, while the sum is 39.

Adding to 340313141444133 its reverse (331444141313043), we get a palindrome (671757282757176).

The spelling of 340313141444133 in words is "three hundred forty trillion, three hundred thirteen billion, one hundred forty-one million, four hundred forty-four thousand, one hundred thirty-three".

Divisors: 1 3 11 13 17 33 39 51 143 187 221 429 561 663 2431 7293 46662983881 139988951643 513292822691 606618790453 793270725977 1539878468073 1819856371359 2379812177931 6672806694983 8725977985747 10312519437701 20018420084949 26177933957241 30937558313103 113437713814711 340313141444133