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342122410314 = 23389227313597
BaseRepresentation
bin1001111101010000001…
…01011011000101001010
31012201002002200011212000
410332220011123011022
521101131314112224
6421100250331430
733501053335326
oct4765005330512
91181062604760
10342122410314
111221031aa653
1256380129b76
1326353817559
14127b7550986
158d756880c9
hex4fa815b14a

342122410314 has 64 divisors (see below), whose sum is σ = 772203715200. Its totient is φ = 112262350464.

The previous prime is 342122410309. The next prime is 342122410391. The reversal of 342122410314 is 413014221243.

342122410314 is a `hidden beast` number, since 3 + 4 + 212 + 2 + 410 + 31 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 934164 + ... + 1247760.

It is an arithmetic number, because the mean of its divisors is an integer number (12065683050).

Almost surely, 2342122410314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342122410314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386101857600).

342122410314 is an abundant number, since it is smaller than the sum of its proper divisors (430081304886).

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

342122410314 is a wasteful number, since it uses less digits than its factorization.

342122410314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313924 (or 313918 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 342122410314 its reverse (413014221243), we get a palindrome (755136631557).

The spelling of 342122410314 in words is "three hundred forty-two billion, one hundred twenty-two million, four hundred ten thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 89 178 227 267 454 534 681 801 1362 1602 2043 2403 4086 4806 6129 12258 20203 40406 60609 121218 181827 313597 363654 545481 627194 940791 1090962 1881582 2822373 5644746 8467119 16934238 27910133 55820266 71186519 83730399 142373038 167460798 213559557 251191197 427119114 502382394 640678671 753573591 1281357342 1507147182 1922036013 3844072026 6335600191 12671200382 19006800573 38013601146 57020401719 114040803438 171061205157 342122410314