Search a number
-
+
4342013442140 = 225111723917332803
BaseRepresentation
bin111111001011110100001…
…010110011100001011100
3120101002111101022201112212
4333023310022303201130
51032114420420122030
613122405441015552
7625462066205123
oct77136412634134
916332441281485
104342013442140
11142448a434880
125a16176245b8
132565b0b7c47a
14110224206aba
1577e2bcbb595
hex3f2f42b385c

4342013442140 has 192 divisors, whose sum is σ = 10586231470080. Its totient is φ = 1478437416960.

The previous prime is 4342013442139. The next prime is 4342013442199. The reversal of 4342013442140 is 412443102434.

It is a super-2 number, since 2×43420134421402 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4342013442097 and 4342013442106.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 1549057979 + ... + 1549060781.

It is an arithmetic number, because the mean of its divisors is an integer number (55136622240).

Almost surely, 24342013442140 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 4342013442140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5293115735040).

4342013442140 is an abundant number, since it is smaller than the sum of its proper divisors (6244218027940).

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

4342013442140 is a wasteful number, since it uses less digits than its factorization.

4342013442140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4812 (or 4810 counting only the distinct ones).

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

Adding to 4342013442140 its reverse (412443102434), we get a palindrome (4754456544574).

The spelling of 4342013442140 in words is "four trillion, three hundred forty-two billion, thirteen million, four hundred forty-two thousand, one hundred forty".