Search a number
-
+
4242543214000 = 24537133137933
BaseRepresentation
bin111101101111001011010…
…001111111110110110000
3120000120202010112120200011
4331233023101333312300
51024002212030322000
613004555240504304
7615341114212030
oct75571321776660
916016663476604
104242543214000
111396286050163
1258629717b094
1324a0bb04a000
141094a968b8c0
157555932b2ba
hex3dbcb47fdb0

4242543214000 has 320 divisors, whose sum is σ = 12700609608960. Its totient is φ = 1342685260800.

The previous prime is 4242543213949. The next prime is 4242543214073. The reversal of 4242543214000 is 4123452424.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30689034 + ... + 30826966.

It is an arithmetic number, because the mean of its divisors is an integer number (39689405028).

Almost surely, 24242543214000 is an apocalyptic number.

4242543214000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4242543214000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6350304804480).

4242543214000 is an abundant number, since it is smaller than the sum of its proper divisors (8458066394960).

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

4242543214000 is a wasteful number, since it uses less digits than its factorization.

4242543214000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138002 (or 137960 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 31.

Adding to 4242543214000 its reverse (4123452424), we get a palindrome (4246666666424).

The spelling of 4242543214000 in words is "four trillion, two hundred forty-two billion, five hundred forty-three million, two hundred fourteen thousand".