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344113204334041 = 193710346710176347
BaseRepresentation
bin100111000111110000001100…
…1010011101000110111011001
31200010101220022212111022102101
41032033200121103220313121
5330100422320302142131
63215511231304203401
7132324233664521152
oct11617403123506731
91603356285438371
10344113204334041
119a71065491991a
123271753ba69561
1311a01974ac033c
1460d924cc2a929
1529bb292ad5c61
hex138f8194e8dd9

344113204334041 has 32 divisors (see below), whose sum is σ = 376430439490560. Its totient is φ = 313438946590656.

The previous prime is 344113204334021. The next prime is 344113204334069. The reversal of 344113204334041 is 140433402311443.

It is a cyclic number.

It is not a de Polignac number, because 344113204334041 - 221 = 344113202236889 is a prime.

It is a super-2 number, since 2×3441132043340412 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is not an unprimeable number, because it can be changed into a prime (344113204334021) 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, 28726830 + ... + 38903176.

It is an arithmetic number, because the mean of its divisors is an integer number (11763451234080).

Almost surely, 2344113204334041 is an apocalyptic number.

It is an amenable number.

344113204334041 is a deficient number, since it is larger than the sum of its proper divisors (32317235156519).

344113204334041 is a wasteful number, since it uses less digits than its factorization.

344113204334041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10176973.

The product of its (nonzero) digits is 165888, while the sum is 37.

Adding to 344113204334041 its reverse (140433402311443), we get a palindrome (484546606645484).

The spelling of 344113204334041 in words is "three hundred forty-four trillion, one hundred thirteen billion, two hundred four million, three hundred thirty-four thousand, forty-one".

Divisors: 1 19 37 103 467 703 1957 3811 8873 17279 48101 72409 328301 913919 1779737 10176347 33815003 193350593 376524839 1048163741 4752354049 7153971941 19915111079 38782058417 90294726931 175837099813 489492467047 736859109923 3340904896447 9300356873893 18111221280739 344113204334041