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34401243314410 = 2572192194478169
BaseRepresentation
bin1111101001001101010011…
…11000110011100011101010
311111210201121210110202010221
413310212221320303203222
514002112221242030120
6201055414002000254
710150256610322600
oct764465170634352
9144721553422127
1034401243314410
11aa63538015595
123a3723694608a
13162703c3247cb
1486d059a55870
153e9cc68c20aa
hex1f49a9e338ea

34401243314410 has 72 divisors (see below), whose sum is σ = 76022683522020. Its totient is φ = 11173937620608.

The previous prime is 34401243314329. The next prime is 34401243314423. The reversal of 34401243314410 is 1441334210443.

It can be written as a sum of positive squares in 2 ways, for example, as 28128607856881 + 6272635457529 = 5303641^2 + 2504523^2 .

It is a super-2 number, since 2×344012433144102 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 97062195 + ... + 97415974.

Almost surely, 234401243314410 is an apocalyptic number.

34401243314410 is an abundant number, since it is smaller than the sum of its proper divisors (41621440207610).

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

34401243314410 is a wasteful number, since it uses less digits than its factorization.

34401243314410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194478228 (or 194478202 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 34.

Adding to 34401243314410 its reverse (1441334210443), we get a palindrome (35842577524853).

The spelling of 34401243314410 in words is "thirty-four trillion, four hundred one billion, two hundred forty-three million, three hundred fourteen thousand, four hundred ten".

Divisors: 1 2 5 7 10 14 19 35 38 49 70 95 98 133 190 245 266 361 490 665 722 931 1330 1805 1862 2527 3610 4655 5054 9310 12635 17689 25270 35378 88445 176890 194478169 388956338 972390845 1361347183 1944781690 2722694366 3695085211 6806735915 7390170422 9529430281 13613471830 18475426055 19058860562 25865596477 36950852110 47647151405 51731192954 70206619009 95294302810 129327982385 140413238018 181059175339 258655964770 351033095045 362118350678 491446333063 702066190090 905295876695 982892666126 1810591753390 2457231665315 3440124331441 4914463330630 6880248662882 17200621657205 34401243314410