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343414014314404 = 2211412712689261229
BaseRepresentation
bin100111000010101010100111…
…0010101011000011110100100
31200000221001121010010011212011
41032011111032111120132210
5330002443400131030104
63214214115323404004
7132222562261436335
oct11605251625303644
91600831533104764
10343414014314404
119a47107a328490
1232623b2a683604
1311980a583bbc27
1460b348132c28c
1529a7ebebc7904
hex138554e5587a4

343414014314404 has 96 divisors (see below), whose sum is σ = 674330511859200. Its totient is φ = 151671066624000.

The previous prime is 343414014314383. The next prime is 343414014314419. The reversal of 343414014314404 is 404413410414343.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1314478462 + ... + 1314739690.

It is an arithmetic number, because the mean of its divisors is an integer number (7024276165200).

Almost surely, 2343414014314404 is an apocalyptic number.

It is an amenable number.

343414014314404 is a deficient number, since it is larger than the sum of its proper divisors (330916497544796).

343414014314404 is a wasteful number, since it uses less digits than its factorization.

343414014314404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264245 (or 264243 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 40.

Adding to 343414014314404 its reverse (404413410414343), we get a palindrome (747827424728747).

The spelling of 343414014314404 in words is "three hundred forty-three trillion, four hundred fourteen billion, fourteen million, three hundred fourteen thousand, four hundred four".

Divisors: 1 2 4 11 22 41 44 82 164 271 451 542 902 1084 1804 2689 2981 5378 5962 10756 11111 11924 22222 29579 44444 59158 110249 118316 122221 220498 244442 261229 440996 488884 522458 728719 1044916 1212739 1457438 2425478 2873519 2914876 4850956 5747038 8015909 10710389 11494076 16031818 21420778 29877479 32063636 42841556 59754958 70793059 117814279 119509916 141586118 235628558 283172236 328652269 471257116 657304538 702444781 778723649 1314609076 1404889562 1557447298 2809779124 2902515419 3114894596 5805030838 7726892591 11610061676 15453785182 28800236021 30907570364 31927669609 57600472042 63855339218 115200944084 127710678436 190362535651 316802596231 380725071302 633605192462 761450142604 1267210384924 2093987892161 4187975784322 7804863961691 8375951568644 15609727923382 31219455846764 85853503578601 171707007157202 343414014314404