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344314044133213 = 71110182953405761
BaseRepresentation
bin100111001001001101101110…
…0010010101010111101011101
31200011010002201202000012210211
41032102123130102222331131
5330112220130244230323
63220143404354132421
7132344603663612230
oct11622333422527535
91604102652005724
10344314044133213
119a788847734620
123274a450881111
1311a178a10b86ab
146104c62677417
1529c15e9b4470d
hex13926dc4aaf5d

344314044133213 has 32 divisors (see below), whose sum is σ = 434047853848320. Its totient is φ = 265319815680000.

The previous prime is 344314044133151. The next prime is 344314044133231. The reversal of 344314044133213 is 312331440413443.

It is a cyclic number.

It is not a de Polignac number, because 344314044133213 - 213 = 344314044125021 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344314044133613) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20255748 + ... + 33150013.

It is an arithmetic number, because the mean of its divisors is an integer number (13563995432760).

Almost surely, 2344314044133213 is an apocalyptic number.

It is an amenable number.

344314044133213 is a deficient number, since it is larger than the sum of its proper divisors (89733809715107).

344314044133213 is a wasteful number, since it uses less digits than its factorization.

344314044133213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53406709.

The product of its (nonzero) digits is 497664, while the sum is 40.

Adding to 344314044133213 its reverse (312331440413443), we get a palindrome (656645484546656).

The spelling of 344314044133213 in words is "three hundred forty-four trillion, three hundred fourteen billion, forty-four million, one hundred thirty-three thousand, two hundred thirteen".

Divisors: 1 7 11 77 101 707 829 1111 5803 7777 9119 63833 83729 586103 921019 6447133 53405761 373840327 587463371 4112243597 5393981861 37757873027 44273375869 59333800471 309913631083 415336603297 487007134559 3409049941913 4471610962769 31301276739383 49187720590459 344314044133213