Search a number
-
+
4113111334104 = 2332373742341257
BaseRepresentation
bin111011110110101000100…
…010100011110011011000
3112120012122210121211022200
4323312220202203303120
51014342123000142404
612425312014250200
7603106506325353
oct73665042436330
915505583554280
104113111334104
1113463a7135083
125651947b6960
1323ab31a8b526
1410310b82b29a
1571ed12d9839
hex3bda88a3cd8

4113111334104 has 96 divisors (see below), whose sum is σ = 11441331894720. Its totient is φ = 1333914075648.

The previous prime is 4113111334103. The next prime is 4113111334127. The reversal of 4113111334104 is 4014331113114.

4113111334104 is a `hidden beast` number, since 4 + 1 + 1 + 311 + 1 + 3 + 341 + 0 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4113111334103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99674244 + ... + 99715500.

It is an arithmetic number, because the mean of its divisors is an integer number (119180540570).

Almost surely, 24113111334104 is an apocalyptic number.

It is an amenable number.

4113111334104 is an abundant number, since it is smaller than the sum of its proper divisors (7328220560616).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4113111334104 is a wasteful number, since it uses less digits than its factorization.

4113111334104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78729 (or 78722 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 4113111334104 its reverse (4014331113114), we get a palindrome (8127442447218).

The spelling of 4113111334104 in words is "four trillion, one hundred thirteen billion, one hundred eleven million, three hundred thirty-four thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 148 222 296 333 444 666 888 1332 2664 37423 41257 74846 82514 112269 123771 149692 165028 224538 247542 299384 330056 336807 371313 449076 495084 673614 742626 898152 990168 1347228 1384651 1485252 1526509 2694456 2769302 2970504 3053018 4153953 4579527 5538604 6106036 8307906 9159054 11077208 12212072 12461859 13738581 16615812 18318108 24923718 27477162 33231624 36636216 49847436 54954324 99694872 109908648 1543960711 3087921422 4631882133 6175842844 9263764266 12351685688 13895646399 18527528532 27791292798 37055057064 55582585596 57126546307 111165171192 114253092614 171379638921 228506185228 342759277842 457012370456 514138916763 685518555684 1028277833526 1371037111368 2056555667052 4113111334104