Search a number
-
+
3336900540071 = 7172337169319463
BaseRepresentation
bin110000100011101110110…
…001010111011010100111
3102211000010100001221222112
4300203232301113122213
5414132433014240241
611032541223151235
7463040335412060
oct60435661273247
912730110057875
103336900540071
1110771983a898a
1245a8692a551b
131b288c544ab7
14b7714b0d567
155bc0174b1eb
hex308eec576a7

3336900540071 has 64 divisors (see below), whose sum is σ = 4330148917248. Its totient is φ = 2503711254528.

The previous prime is 3336900540041. The next prime is 3336900540223. The reversal of 3336900540071 is 1700450096333.

It is not a de Polignac number, because 3336900540071 - 26 = 3336900540007 is a prime.

It is a super-3 number, since 3×33369005400713 (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3336900540031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 171438686 + ... + 171458148.

It is an arithmetic number, because the mean of its divisors is an integer number (67658576832).

Almost surely, 23336900540071 is an apocalyptic number.

3336900540071 is a deficient number, since it is larger than the sum of its proper divisors (993248377177).

3336900540071 is a wasteful number, since it uses less digits than its factorization.

3336900540071 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21240.

The product of its (nonzero) digits is 204120, while the sum is 41.

The spelling of 3336900540071 in words is "three trillion, three hundred thirty-six billion, nine hundred million, five hundred forty thousand, seventy-one".

Divisors: 1 7 17 23 37 119 161 259 391 629 851 1693 2737 4403 5957 11851 14467 19463 28781 38939 62641 101269 136241 201467 272573 330871 438487 447649 661963 720131 1064897 1440743 2316097 3133543 4633741 5040917 7454279 7610033 10085201 12242227 16563013 24492631 32950859 53270231 85695589 115941091 171448417 230656013 281571221 560164603 757869757 1219181783 1970998547 3921152221 5305088299 8534272481 12883785869 20726090311 28041181009 90186501083 145082632177 196288267063 476700077153 3336900540071