Search a number
-
+
342321521444 = 227313718158889
BaseRepresentation
bin1001111101100111111…
…00111110001100100100
31012201120222100001222022
410332303330332030210
521102033302141234
6421132122122312
733506021631260
oct4766374761444
91181528301868
10342321521444
111221a5635801
1256416950398
1326385b500a6
14127d5b810a0
158d87db8e2e
hex4fb3f3e324

342321521444 has 96 divisors (see below), whose sum is σ = 729851566080. Its totient is φ = 137373926400.

The previous prime is 342321521431. The next prime is 342321521447. The reversal of 342321521444 is 444125123243.

It is not an unprimeable number, because it can be changed into a prime (342321521447) 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 31 ways as a sum of consecutive naturals, for example, 5783552 + ... + 5842440.

It is an arithmetic number, because the mean of its divisors is an integer number (7602620480).

Almost surely, 2342321521444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342321521444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364925783040).

342321521444 is an abundant number, since it is smaller than the sum of its proper divisors (387530044636).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

342321521444 is a wasteful number, since it uses less digits than its factorization.

342321521444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59149 (or 59147 counting only the distinct ones).

The product of its digits is 92160, while the sum is 35.

Adding to 342321521444 its reverse (444125123243), we get a palindrome (786446644687).

The spelling of 342321521444 in words is "three hundred forty-two billion, three hundred twenty-one million, five hundred twenty-one thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 28 31 37 62 74 124 148 181 217 259 362 434 518 724 868 1036 1147 1267 2294 2534 4588 5068 5611 6697 8029 11222 13394 16058 22444 26788 32116 39277 46879 58889 78554 93758 117778 157108 187516 207607 235556 412223 415214 824446 830428 1453249 1648892 1825559 2178893 2906498 3651118 4357786 5812996 7302236 8715572 10658909 12778913 15252251 21317818 25557826 30504502 42635636 51115652 61009004 67545683 74612363 135091366 149224726 270182732 298449452 330426179 394379633 472819781 660852358 788759266 945639562 1321704716 1577518532 1891279124 2312983253 2760657431 4625966506 5521314862 9251933012 11042629724 12225768623 24451537246 48903074492 85580380361 171160760722 342321521444