Search a number
-
+
13343114044404 = 2233718269210437
BaseRepresentation
bin1100001000101010111110…
…0100101010001111110100
31202020120220120002221101000
43002022233210222033310
53222103144143410104
644213424133203300
72545002543015354
oct302125744521764
952216816087330
1013343114044404
114284868029751
1215b5b99a90530
1375a333a70cb1
14341b4b146b64
15182141dec639
hexc22af92a3f4

13343114044404 has 96 divisors (see below), whose sum is σ = 35084896761600. Its totient is φ = 4384509816960.

The previous prime is 13343114044399. The next prime is 13343114044471. The reversal of 13343114044404 is 40444041134331.

13343114044404 is a `hidden beast` number, since 1 + 3 + 3 + 431 + 140 + 44 + 40 + 4 = 666.

13343114044404 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63301474 + ... + 63511910.

It is an arithmetic number, because the mean of its divisors is an integer number (365467674600).

Almost surely, 213343114044404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13343114044404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17542448380800).

13343114044404 is an abundant number, since it is smaller than the sum of its proper divisors (21741782717196).

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

13343114044404 is a wasteful number, since it uses less digits than its factorization.

13343114044404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218790 (or 218782 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 13343114044404 its reverse (40444041134331), we get a palindrome (53787155178735).

The spelling of 13343114044404 in words is "thirteen trillion, three hundred forty-three billion, one hundred fourteen million, forty-four thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 71 108 142 213 284 426 639 852 1278 1917 2556 3834 7668 8269 16538 24807 33076 49614 74421 99228 148842 210437 223263 297684 420874 446526 587099 631311 841748 893052 1174198 1262622 1761297 1893933 2348396 2525244 3522594 3787866 5283891 5681799 7045188 7575732 10567782 11363598 14941027 15851673 21135564 22727196 29882054 31703346 44823081 59764108 63406692 89646162 134469243 179292324 268938486 403407729 537876972 806815458 1613630916 1740103553 3480207106 5220310659 6960414212 10440621318 15660931977 20881242636 31321863954 46982795931 62643727908 93965591862 123547352263 187931183724 247094704526 370642056789 494189409052 741284113578 1111926170367 1482568227156 2223852340734 3335778511101 4447704681468 6671557022202 13343114044404