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341442244143 = 3271113112333749
BaseRepresentation
bin1001111011111111000…
…10110010111000101111
31012122022200211011021100
410331333202302320233
521043233203303033
6420504552134143
733445154121510
oct4757742627057
91178280734240
10341442244143
11121894277750
1256210397353
1326275930a70
141275109aa07
158d35ad2513
hex4f7f8b2e2f

341442244143 has 96 divisors (see below), whose sum is σ = 662800320000. Its totient is φ = 163577905920.

The previous prime is 341442244141. The next prime is 341442244183.

341442244143 is a `hidden beast` number, since 3 + 4 + 14 + 4 + 224 + 414 + 3 = 666.

341442244143 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 341442244143 - 21 = 341442244141 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 341442244098 and 341442244107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (341442244141) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10100233 + ... + 10133981.

It is an arithmetic number, because the mean of its divisors is an integer number (6904170000).

Almost surely, 2341442244143 is an apocalyptic number.

341442244143 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

341442244143 is a deficient number, since it is larger than the sum of its proper divisors (321358075857).

341442244143 is a wasteful number, since it uses less digits than its factorization.

341442244143 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34909 (or 34906 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

It can be divided in two parts, 341442 and 244143, that added together give a palindrome (585585).

The spelling of 341442244143 in words is "three hundred forty-one billion, four hundred forty-two million, two hundred forty-four thousand, one hundred forty-three".

Divisors: 1 3 7 9 11 13 21 33 39 63 77 91 99 117 143 231 273 429 693 819 1001 1123 1287 3003 3369 7861 9009 10107 12353 14599 23583 33749 37059 43797 70749 86471 101247 102193 111177 131391 160589 236243 259413 303741 306579 371239 438737 481767 708729 778239 919737 1113717 1124123 1316211 1445301 2126187 2598673 3071159 3341151 3372369 3948633 4826107 7796019 9213477 10117107 14478321 23388057 27640431 33782749 37900127 43434963 101348247 113700381 265300889 304044741 341101143 416901397 492701651 795902667 1250704191 1478104953 2387708001 2918309779 3448911557 3752112573 4434314859 5419718161 8754929337 10346734671 16259154483 26264788011 31040204013 37938027127 48777463449 113814081381 341442244143