Search a number
-
+
4243033304448 = 2731071132933119
BaseRepresentation
bin111101101111101000011…
…111100010110110000000
3120000122000021201202101020
4331233220133202312000
51024004213011220243
613005120025105440
7615356215004121
oct75575037426600
916018007652336
104243033304448
111396507759394
125863b3328280
1324a168742763
141095147c4048
1575587388283
hex3dbe87e2d80

4243033304448 has 256 divisors, whose sum is σ = 11519422387200. Its totient is φ = 1383543504896.

The previous prime is 4243033304431. The next prime is 4243033304459. The reversal of 4243033304448 is 8444033303424.

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 31 ways as a sum of consecutive naturals, for example, 1360381033 + ... + 1360384151.

It is an arithmetic number, because the mean of its divisors is an integer number (44997743700).

Almost surely, 24243033304448 is an apocalyptic number.

4243033304448 is a gapful number since it is divisible by the number (48) 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 4243033304448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5759711193600).

4243033304448 is an abundant number, since it is smaller than the sum of its proper divisors (7276389082752).

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

4243033304448 is a wasteful number, since it uses less digits than its factorization.

4243033304448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3649 (or 3637 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 42.

The spelling of 4243033304448 in words is "four trillion, two hundred forty-three billion, thirty-three million, three hundred four thousand, four hundred forty-eight".