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334324031212405 = 5137328669111337
BaseRepresentation
bin100110000000100001110000…
…1000111101100101101110101
31121211202001202120020011002101
41030001003201013230231311
5322310031103442244110
63143014201210542101
7130264054105063603
oct11401034107545565
91554661676204071
10334324031212405
119758703089aa63
12315b62a1737931
131147180c0754b0
145c7b525aa6873
15289b8068ab13a
hex13010e11ecb75

334324031212405 has 48 divisors (see below), whose sum is σ = 438103544371920. Its totient is φ = 243473170305024.

The previous prime is 334324031212351. The next prime is 334324031212417. The reversal of 334324031212405 is 504212130423433.

It can be written as a sum of positive squares in 24 ways, for example, as 255850069958596 + 78473961253809 = 15995314^2 + 8858553^2 .

It is not a de Polignac number, because 334324031212405 - 241 = 332125007956853 is a prime.

It is a super-2 number, since 2×3343240312124052 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3002755897 + ... + 3002867233.

It is an arithmetic number, because the mean of its divisors is an integer number (9127157174415).

Almost surely, 2334324031212405 is an apocalyptic number.

It is an amenable number.

334324031212405 is a deficient number, since it is larger than the sum of its proper divisors (103779513159515).

334324031212405 is a wasteful number, since it uses less digits than its factorization.

334324031212405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120170 (or 120097 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 37.

Adding to 334324031212405 its reverse (504212130423433), we get a palindrome (838536161635838).

The spelling of 334324031212405 in words is "three hundred thirty-four trillion, three hundred twenty-four billion, thirty-one million, two hundred twelve thousand, four hundred five".

Divisors: 1 5 13 65 73 365 949 4745 5329 8669 26645 43345 69277 111337 112697 346385 556685 563485 632837 1447381 3164185 7236905 8127601 8226881 40638005 41134405 46197101 105658813 230985505 528294065 593314873 600562313 965180453 2966574365 3002811565 4825902265 7713093349 12547345889 38565466745 62736729445 70458173069 352290865345 915956249897 4579781249485 5143446634037 25717233170185 66864806242481 334324031212405