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345244442543 = 711137938311399
BaseRepresentation
bin1010000011000100010…
…11000001111110101111
31020000010200022211221022
411001202023001332233
521124030034130133
6422334134324355
733641323225160
oct5014213017657
91200120284838
10345244442543
1112346553a680
1256ab17b96bb
13267305879c0
14129d2041767
158ea97d4998
hex50622c1faf

345244442543 has 64 divisors (see below), whose sum is σ = 470679552000. Its totient is φ = 244522661760.

The previous prime is 345244442461. The next prime is 345244442549.

345244442543 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 345244442543 - 228 = 344976007087 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 345244442494 and 345244442503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345244442549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30281558 + ... + 30292956.

It is an arithmetic number, because the mean of its divisors is an integer number (7354368000).

Almost surely, 2345244442543 is an apocalyptic number.

345244442543 is a deficient number, since it is larger than the sum of its proper divisors (125435109457).

345244442543 is a wasteful number, since it uses less digits than its factorization.

345244442543 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11892.

The product of its digits is 3686400, while the sum is 44.

It can be divided in two parts, 345244 and 442543, that added together give a palindrome (787787).

The spelling of 345244442543 in words is "three hundred forty-five billion, two hundred forty-four million, four hundred forty-two thousand, five hundred forty-three".

Divisors: 1 7 11 13 77 79 91 143 383 553 869 1001 1027 2681 4213 4979 6083 7189 11297 11399 29491 30257 34853 54769 79079 79793 125389 148187 211799 332827 383383 393341 877723 900521 1037309 1630057 2329789 2753387 4326751 4365817 6303647 9905731 11410399 11706773 30287257 30560719 48023987 56755621 69340117 81947411 128774503 336167909 344899543 397289347 624311831 901421521 2414296801 3793894973 4370182817 4483694059 26557264811 31385858413 49320634649 345244442543