Search a number
-
+
3413141423334 = 23217432399108127
BaseRepresentation
bin110001101010101111000…
…101010000010011100110
3110002021220200202010020200
4301222233011100103212
5421410103201021314
611131550414011330
7501406553261466
oct61525705202346
913067820663220
103413141423334
1110a6561397a15
124715a61a6b46
131b9b1c928086
14bb2a8519ba6
155dbb4bc7709
hex31aaf1504e6

3413141423334 has 96 divisors (see below), whose sum is σ = 8015658393600. Its totient is φ = 1045441748736.

The previous prime is 3413141423281. The next prime is 3413141423357. The reversal of 3413141423334 is 4333241413143.

3413141423334 is a `hidden beast` number, since 3 + 4 + 1 + 3 + 1 + 414 + 233 + 3 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31511979 + ... + 31620105.

It is an arithmetic number, because the mean of its divisors is an integer number (83496441600).

Almost surely, 23413141423334 is an apocalyptic number.

3413141423334 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3413141423334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4007829196800).

3413141423334 is an abundant number, since it is smaller than the sum of its proper divisors (4602516970266).

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

3413141423334 is a wasteful number, since it uses less digits than its factorization.

3413141423334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110594 (or 110591 counting only the distinct ones).

The product of its digits is 124416, while the sum is 36.

Adding to 3413141423334 its reverse (4333241413143), we get a palindrome (7746382836477).

The spelling of 3413141423334 in words is "three trillion, four hundred thirteen billion, one hundred forty-one million, four hundred twenty-three thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 17 18 34 43 51 86 102 129 153 258 306 387 731 774 1462 2193 2399 4386 4798 6579 7197 13158 14394 21591 40783 43182 81566 103157 108127 122349 206314 216254 244698 309471 324381 367047 618942 648762 734094 928413 973143 1753669 1838159 1856826 1946286 3507338 3676318 4649461 5261007 5514477 9298922 10522014 11028954 13948383 15783021 16543431 27896766 31566042 33086862 41845149 79040837 83690298 158081674 237122511 259396673 474245022 518793346 711367533 778190019 1422735066 1556380038 2334570057 4409743441 4669140114 8819486882 11154056939 13229230323 22308113878 26458460646 33462170817 39687690969 66924341634 79375381938 100386512451 189618967963 200773024902 379237935926 568856903889 1137713807778 1706570711667 3413141423334