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342155034414 = 2331910310730259
BaseRepresentation
bin1001111101010100000…
…01110111111100101110
31012201011101001122201000
410332222001313330232
521101213142100124
6421103413501130
733501630543324
oct4765201677456
91181141048630
10342155034414
1112211a662616
125638b0417a6
132635a4caa5b
14127bba03d14
158d7847e6c9
hex4faa077f2e

342155034414 has 128 divisors (see below), whose sum is σ = 815712768000. Its totient is φ = 105996436704.

The previous prime is 342155034413. The next prime is 342155034439. The reversal of 342155034414 is 414430551243.

342155034414 is a `hidden beast` number, since 34 + 2 + 1 + 550 + 34 + 41 + 4 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342155034413) 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 63 ways as a sum of consecutive naturals, for example, 11292417 + ... + 11322675.

It is an arithmetic number, because the mean of its divisors is an integer number (6372756000).

Almost surely, 2342155034414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342155034414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407856384000).

342155034414 is an abundant number, since it is smaller than the sum of its proper divisors (473557733586).

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

342155034414 is a wasteful number, since it uses less digits than its factorization.

342155034414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30499 (or 30493 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 342155034414 its reverse (414430551243), we get a palindrome (756585585657).

The spelling of 342155034414 in words is "three hundred forty-two billion, one hundred fifty-five million, thirty-four thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 103 107 114 171 206 214 309 321 342 513 618 642 927 963 1026 1854 1926 1957 2033 2781 2889 3914 4066 5562 5778 5871 6099 11021 11742 12198 17613 18297 22042 30259 33063 35226 36594 52839 54891 60518 66126 90777 99189 105678 109782 181554 198378 209399 272331 297567 418798 544662 574921 595134 628197 816993 1149842 1256394 1633986 1724763 1884591 3116677 3237713 3449526 3769182 5174289 5653773 6233354 6475426 9350031 9713139 10348578 11307546 15522867 18700062 19426278 28050093 29139417 31045734 56100186 58278834 59216863 61516547 84150279 87418251 118433726 123033094 168300558 174836502 177650589 184549641 333484439 355301178 369099282 532951767 553648923 666968878 1000453317 1065903534 1107297846 1598855301 1660946769 2000906634 3001359951 3197710602 3321893538 6002719902 6336204341 9004079853 12672408682 18008159706 19008613023 38017226046 57025839069 114051678138 171077517207 342155034414