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340141234314 = 237235326325261
BaseRepresentation
bin1001111001100011111…
…11110101100010001010
31012111222000202000022010
410330301333311202022
521033102123444224
6420131515040350
733401005534110
oct4746177654212
91174860660263
10340141234314
1112128694a812
1255b087400b6
13260c923126b
141266a395ab0
158cab792e29
hex4f31ff588a

340141234314 has 128 divisors (see below), whose sum is σ = 829751205888. Its totient is φ = 90853551360.

The previous prime is 340141234273. The next prime is 340141234331. The reversal of 340141234314 is 413432141043.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13452444 + ... + 13477704.

It is an arithmetic number, because the mean of its divisors is an integer number (6482431296).

Almost surely, 2340141234314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340141234314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414875602944).

340141234314 is an abundant number, since it is smaller than the sum of its proper divisors (489609971574).

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

340141234314 is a wasteful number, since it uses less digits than its factorization.

340141234314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25612.

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 340141234314 its reverse (413432141043), we get a palindrome (753573375357).

The spelling of 340141234314 in words is "three hundred forty billion, one hundred forty-one million, two hundred thirty-four thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 14 21 23 42 46 53 69 106 138 159 161 263 318 322 371 483 526 742 789 966 1113 1219 1578 1841 2226 2438 3657 3682 5523 6049 7314 8533 11046 12098 13939 17066 18147 25261 25599 27878 36294 41817 42343 50522 51198 75783 83634 84686 97573 127029 151566 176827 195146 254058 292719 320597 353654 530481 581003 585438 641194 961791 1060962 1162006 1338833 1743009 1923582 2244179 2677666 3486018 4016499 4067021 4488358 6643643 6732537 8032998 8134042 9371831 12201063 13287286 13465074 18743662 19930929 24402126 28115493 30793159 39861858 46505501 56230986 61586318 92379477 93011002 139516503 152803789 184758954 215552113 279033006 305607578 352113079 431104226 458411367 646656339 704226158 916822734 1056339237 1069626523 1293312678 2112678474 2139253046 2464791553 3208879569 4929583106 6417759138 7394374659 8098600817 14788749318 16197201634 24295802451 48591604902 56690205719 113380411438 170070617157 340141234314