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342241142243 = 721113192570671
BaseRepresentation
bin1001111101011110010…
…10010110010111100011
31012201101101002101102212
410332233022112113203
521101402213022433
6421120131232335
733504024465500
oct4765712262743
91181341071385
10342241142243
11122164225710
12563b3a486ab
13263722b9230
14127c921a4a7
158d80cdcd48
hex4faf2965e3

342241142243 has 48 divisors (see below), whose sum is σ = 492335101440. Its totient is φ = 233211182400.

The previous prime is 342241142239. The next prime is 342241142263.

It is a happy number.

342241142243 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 342241142243 - 22 = 342241142239 is a prime.

It is not an unprimeable number, because it can be changed into a prime (342241142263) 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 47 ways as a sum of consecutive naturals, for example, 1152203 + ... + 1418468.

It is an arithmetic number, because the mean of its divisors is an integer number (10256981280).

Almost surely, 2342241142243 is an apocalyptic number.

342241142243 is a deficient number, since it is larger than the sum of its proper divisors (150093959197).

342241142243 is a wasteful number, since it uses less digits than its factorization.

342241142243 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2570728 (or 2570721 counting only the distinct ones).

The product of its digits is 36864, while the sum is 32.

It can be divided in two parts, 342241 and 142243, that added together give a palindrome (484484).

The spelling of 342241142243 in words is "three hundred forty-two billion, two hundred forty-one million, one hundred forty-two thousand, two hundred forty-three".

Divisors: 1 7 11 13 19 49 77 91 133 143 209 247 539 637 931 1001 1463 1729 2717 7007 10241 12103 19019 133133 2570671 17994697 28277381 33418723 48842749 125962879 197941667 233931061 341899243 367605953 537270239 634955737 1385591669 1637517427 2393294701 2573241671 3760891673 4444690159 6984513107 18012691697 26326241711 31112831113 48891591749 342241142243