Search a number
-
+
3411134311143 = 31317192347250499
BaseRepresentation
bin110001101000110111011…
…100101110101011100111
3110002002201211000020221010
4301220313130232223213
5421342000340424033
611131015314353303
7501306042145446
oct61506734565347
913062654006833
103411134311143
1110a5721432909
12471125b8b833
131b988cb60720
14bb157b2cd5d
155dae88ac863
hex31a3772eae7

3411134311143 has 128 divisors (see below), whose sum is σ = 5817692160000. Its totient is φ = 1752219482112.

The previous prime is 3411134311127. The next prime is 3411134311159.

3411134311143 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (3411134311127) and next prime (3411134311159).

It is not a de Polignac number, because 3411134311143 - 24 = 3411134311127 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3411134311143.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3411134311243) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13492108 + ... + 13742606.

It is an arithmetic number, because the mean of its divisors is an integer number (45450720000).

Almost surely, 23411134311143 is an apocalyptic number.

3411134311143 is a deficient number, since it is larger than the sum of its proper divisors (2406557848857).

3411134311143 is a wasteful number, since it uses less digits than its factorization.

3411134311143 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250621.

The product of its digits is 5184, while the sum is 30.

The spelling of 3411134311143 in words is "three trillion, four hundred eleven billion, one hundred thirty-four million, three hundred eleven thousand, one hundred forty-three".

Divisors: 1 3 13 17 19 23 39 47 51 57 69 141 221 247 299 323 391 437 611 663 741 799 893 897 969 1081 1173 1311 1833 2397 2679 3243 4199 5083 5681 7429 10387 11609 12597 14053 15181 15249 17043 18377 20539 22287 31161 34827 42159 45543 55131 61617 96577 197353 238901 250499 267007 289731 349163 592059 716703 751497 801021 1047489 3256487 4258483 4539119 4759481 5761477 9769461 11773453 12775449 13617357 14278443 17284431 35320359 55360279 61873253 74899201 80911177 97945109 109468063 153054889 166080837 185619759 200148701 223695607 224697603 242733531 270789419 293835327 328404189 459164667 600446103 671086821 812368257 1051845301 1273286417 1423084819 1860957071 2601933113 2908042891 3155535903 3520262447 3802825319 3819859251 4269254457 4603420123 5144998961 5582871213 7805799339 8724128673 10560787341 11408475957 13810260369 15434996883 24192441923 49436729147 59844461599 66884986493 72577325769 87464982337 148310187441 179533384797 200654959479 262394947011 1137044770381 3411134311143