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342414414198 = 232234120172877
BaseRepresentation
bin1001111101110010111…
…11010101000101110110
31012201211110010111212200
410332321133111011312
521102231042223243
6421145241125330
733511230332523
oct4767137250566
91181743114780
10342414414198
1112224301247a
1256441a89846
132639c17590c
141280424214a
158d91117ad3
hex4fb97d5176

342414414198 has 48 divisors (see below), whose sum is σ = 793036179936. Its totient is φ = 106512785280.

The previous prime is 342414414193. The next prime is 342414414229. The reversal of 342414414198 is 891414414243.

342414414198 is a `hidden beast` number, since 3 + 4 + 2 + 41 + 4 + 414 + 198 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342414414193) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10069465 + ... + 10103412.

It is an arithmetic number, because the mean of its divisors is an integer number (16521587082).

Almost surely, 2342414414198 is an apocalyptic number.

342414414198 is an abundant number, since it is smaller than the sum of its proper divisors (450621765738).

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

342414414198 is a wasteful number, since it uses less digits than its factorization.

342414414198 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20172949 (or 20172946 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

Adding to 342414414198 its sum of digits (45), we get a palindrome (342414414243).

The spelling of 342414414198 in words is "three hundred forty-two billion, four hundred fourteen million, four hundred fourteen thousand, one hundred ninety-eight".

Divisors: 1 2 3 6 9 18 23 41 46 69 82 123 138 207 246 369 414 738 943 1886 2829 5658 8487 16974 20172877 40345754 60518631 121037262 181555893 363111786 463976171 827087957 927952342 1391928513 1654175914 2481263871 2783857026 4175785539 4962527742 7443791613 8351571078 14887583226 19023023011 38046046022 57069069033 114138138066 171207207099 342414414198