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330134402423342 = 211214926991137361
BaseRepresentation
bin100101100010000010110011…
…1110010001101101000101110
31121021220112121010111212110102
41023010011213302031220232
5321232410224010021332
63130045352321511102
7126352265152004156
oct11304054762155056
91537815533455412
10330134402423342
1196211239644500
123103a3134a2492
13112297048198ca
145b74839c37766
152827847c13062
hex12c4167c8da2e

330134402423342 has 96 divisors (see below), whose sum is σ = 550621129968000. Its totient is φ = 148332888704000.

The previous prime is 330134402423341. The next prime is 330134402423347. The reversal of 330134402423342 is 243324204431033.

It is a junction number, because it is equal to n+sod(n) for n = 330134402423296 and 330134402423305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330134402423341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8836318742 + ... + 8836356102.

It is an arithmetic number, because the mean of its divisors is an integer number (5735636770500).

Almost surely, 2330134402423342 is an apocalyptic number.

330134402423342 is a deficient number, since it is larger than the sum of its proper divisors (220486727544658).

330134402423342 is a wasteful number, since it uses less digits than its factorization.

330134402423342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38714 (or 38703 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 38.

Adding to 330134402423342 its reverse (243324204431033), we get a palindrome (573458606854375).

The spelling of 330134402423342 in words is "three hundred thirty trillion, one hundred thirty-four billion, four hundred two million, four hundred twenty-three thousand, three hundred forty-two".

Divisors: 1 2 11 22 121 149 242 269 298 538 911 1639 1822 2959 3278 5918 10021 18029 20042 32549 36058 37361 40081 65098 74722 80162 110231 135739 220462 245059 271478 410971 440891 490118 821942 881782 1493129 2695649 2986258 4520681 4849801 5391298 5566789 9041362 9699602 10050109 11133578 16424419 20100218 29652139 32848838 34035871 36513791 59304278 61234679 68071742 73027582 110551199 122469358 221102398 374394581 401651701 673581469 748789162 803303402 1216063189 1347162938 1497466241 2432126378 2994932482 4118340391 4418168711 5071344779 8236680782 8836337422 9155649299 10142689558 16472128651 18311298598 32944257302 55784792569 100712142289 111569585138 181193415161 201424284578 362386830322 613632718259 1107833565179 1227265436518 1364191745551 2215667130358 2728383491102 15006109201061 30012218402122 165067201211671 330134402423342