Search a number
-
+
214204313404113 = 3312677691442057
BaseRepresentation
bin110000101101000101010100…
…000000101000001011010001
31001002102201202220021022220020
4300231011110000220023101
5211034010413212412423
62035324034133534053
763055515400163364
oct6055052400501321
91032381686238806
10214204313404113
11622855a269251a
12200362931a4329
13926a4c3065606
143ac7788d8a0db
1519b6e2be424e3
hexc2d1540282d1

214204313404113 has 48 divisors (see below), whose sum is σ = 299910455127360. Its totient is φ = 135956578222080.

The previous prime is 214204313404111. The next prime is 214204313404117. The reversal of 214204313404113 is 311404313402412.

It is a happy number.

It is not a de Polignac number, because 214204313404113 - 21 = 214204313404111 is a prime.

It is not an unprimeable number, because it can be changed into a prime (214204313404111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 147819781 + ... + 149261837.

It is an arithmetic number, because the mean of its divisors is an integer number (6248134481820).

Almost surely, 2214204313404113 is an apocalyptic number.

It is an amenable number.

214204313404113 is a deficient number, since it is larger than the sum of its proper divisors (85706141723247).

214204313404113 is a wasteful number, since it uses less digits than its factorization.

214204313404113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1442958 (or 1442927 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

Adding to 214204313404113 its reverse (311404313402412), we get a palindrome (525608626806525).

The spelling of 214204313404113 in words is "two hundred fourteen trillion, two hundred four billion, three hundred thirteen million, four hundred four thousand, one hundred thirteen".

Divisors: 1 3 31 67 93 201 769 961 2077 2307 2883 6231 23839 51523 64387 71517 154569 193161 739009 1442057 1597213 2217027 4326171 4791639 44703767 49513603 96617819 134111301 148540809 289853457 1108941833 1385816777 2995152389 3326825499 4157450331 8985457167 34377196823 74299102811 92849724059 103131590469 222897308433 278549172177 1065693101513 2303272187141 3197079304539 6909816561423 71401437801371 214204313404113