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342330104142 = 23413282315193
BaseRepresentation
bin1001111101101000111…
…01101101100101001110
31012201121120111010020000
410332310131231211032
521102043001313032
6421133030105130
733506154605565
oct4766435554516
91181546433200
10342330104142
111221aa468044
12564197ab1a6
1326387866800
14127d6d76bdc
158d88a11e7c
hex4fb476d94e

342330104142 has 120 divisors (see below), whose sum is σ = 831681514224. Its totient is φ = 105197429376.

The previous prime is 342330104141. The next prime is 342330104143. The reversal of 342330104142 is 241401033243.

342330104142 is a `hidden beast` number, since 3 + 4 + 233 + 0 + 10 + 414 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (342330104141) and next prime (342330104143).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342330104141) 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 59 ways as a sum of consecutive naturals, for example, 22524498 + ... + 22539690.

Almost surely, 2342330104142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342330104142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415840757112).

342330104142 is an abundant number, since it is smaller than the sum of its proper divisors (489351410082).

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

342330104142 is a wasteful number, since it uses less digits than its factorization.

342330104142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16056 (or 16034 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 342330104142 its reverse (241401033243), we get a palindrome (583731137385).

The spelling of 342330104142 in words is "three hundred forty-two billion, three hundred thirty million, one hundred four thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 169 234 338 351 507 702 823 1014 1053 1521 1646 2106 2469 3042 4563 4938 7407 9126 10699 13689 14814 15193 21398 22221 27378 30386 32097 44442 45579 64194 66663 91158 96291 133326 136737 139087 192582 197509 273474 278174 288873 395018 410211 417261 577746 592527 820422 834522 866619 1185054 1230633 1251783 1733238 1777581 2461266 2503566 2567617 3555162 3755349 5135234 5332743 7510698 7702851 10665486 11266047 12503839 15405702 15998229 22532094 23108553 25007678 31996458 37511517 46217106 69325659 75023034 112534551 138651318 162549907 207976977 225069102 325099814 337603653 415953954 487649721 675207306 975299442 1012810959 1462949163 2025621918 2113148791 2925898326 4226297582 4388847489 6339446373 8777694978 12678892746 13166542467 19018339119 26333084934 38036678238 57055017357 114110034714 171165052071 342330104142