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214401311241 = 313192511152751
BaseRepresentation
bin1100011110101101010…
…0000110001000001001
3202111101222220002121020
43013223110012020021
512003043213424431
6242254500103053
721330031035105
oct3075324061011
9674358802536
10214401311241
1182a21a50517
1235676694a89
13172aab0b410
14a53c9c0905
15589c929696
hex31eb506209

214401311241 has 32 divisors (see below), whose sum is σ = 325352724480. Its totient is φ = 124497000000.

The previous prime is 214401311237. The next prime is 214401311291. The reversal of 214401311241 is 142113104412.

It is a happy number.

It is not a de Polignac number, because 214401311241 - 22 = 214401311237 is a prime.

It is not an unprimeable number, because it can be changed into a prime (214401311291) 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, 390385 + ... + 762366.

It is an arithmetic number, because the mean of its divisors is an integer number (10167272640).

Almost surely, 2214401311241 is an apocalyptic number.

It is an amenable number.

214401311241 is a deficient number, since it is larger than the sum of its proper divisors (110951413239).

214401311241 is a wasteful number, since it uses less digits than its factorization.

214401311241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1153037.

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 214401311241 its reverse (142113104412), we get a palindrome (356514415653).

The spelling of 214401311241 in words is "two hundred fourteen billion, four hundred one million, three hundred eleven thousand, two hundred forty-one".

Divisors: 1 3 13 19 39 57 247 251 741 753 3263 4769 9789 14307 61997 185991 1152751 3458253 14985763 21902269 44957289 65706807 284729497 289340501 854188491 868021503 3761426513 5497469519 11284279539 16492408557 71467103747 214401311241