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343112341141143 = 3473312593970481
BaseRepresentation
bin100111000000011110001000…
…1001101100011011010010111
31122222212012220222211010220000
41032000330101031203122113
5324433023033313004033
63213423344500342343
7132162022445662560
oct11600742115433227
91588765828733800
10343112341141143
119a365143721372
12325955789a49b3
131195b47ca47592
1460a2a23cc9167
1529a02156b3a13
hex1380f11363697

343112341141143 has 80 divisors (see below), whose sum is σ = 587572730638080. Its totient is φ = 195461546860800.

The previous prime is 343112341141093. The next prime is 343112341141337. The reversal of 343112341141143 is 341141143211343.

343112341141143 is a `hidden beast` number, since 3 + 4 + 3 + 1 + 1 + 234 + 1 + 1 + 411 + 4 + 3 = 666.

It is not a de Polignac number, because 343112341141143 - 218 = 343112340878999 is a prime.

It is a super-2 number, since 2×3431123411411432 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 343112341141098 and 343112341141107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343112341141943) 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 79 ways as a sum of consecutive naturals, for example, 4868118463 + ... + 4868188943.

It is an arithmetic number, because the mean of its divisors is an integer number (7344659132976).

Almost surely, 2343112341141143 is an apocalyptic number.

343112341141143 is a deficient number, since it is larger than the sum of its proper divisors (244460389496937).

343112341141143 is a wasteful number, since it uses less digits than its factorization.

343112341141143 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96770 (or 96761 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

Adding to 343112341141143 its reverse (341141143211343), we get a palindrome (684253484352486).

The spelling of 343112341141143 in words is "three hundred forty-three trillion, one hundred twelve billion, three hundred forty-one million, one hundred forty-one thousand, one hundred forty-three".

Divisors: 1 3 7 9 21 27 63 81 189 331 567 993 2317 2979 6951 8937 20853 25939 26811 62559 70481 77817 181573 187677 211443 233451 493367 544719 634329 700353 1480101 1634157 1902987 2101059 4440303 4902471 5708961 8585809 13320909 14707413 23329211 25757427 39962727 60100663 69987633 77272281 163304477 180301989 209962899 231816843 489913431 540905967 629888697 695450529 1469740293 1622717901 1828206659 1889666091 4409220879 4868153703 5484619977 12797446613 13227662637 16453859931 38392339839 49361579793 115177019517 148084739379 345531058551 605136404129 1036593175653 1815409212387 4235954828903 5446227637161 12707864486709 16338682911483 38123593460127 49016048734449 114370780380381 343112341141143