Search a number
-
+
4283338026240 = 2833572131031889
BaseRepresentation
bin111110010101001010110…
…101110110110100000000
3120011111001012011202121000
4332111022311312310000
51030134234013314430
613035423251132000
7621314052331500
oct76251265666400
916144035152530
104283338026240
11140160a716419
125921812a4000
13250bbc987070
1410b459633a00
15766459b2e60
hex3e54ad76d00

4283338026240 has 1728 divisors, whose sum is σ = 19236682483200. Its totient is φ = 894489329664.

The previous prime is 4283338026203. The next prime is 4283338026241. The reversal of 4283338026240 is 426208333824.

4283338026240 is a `hidden beast` number, since 4 + 2 + 8 + 3 + 3 + 380 + 26 + 240 = 666.

4283338026240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4283338026241) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2267515216 + ... + 2267517104.

It is an arithmetic number, because the mean of its divisors is an integer number (11132339400).

Almost surely, 24283338026240 is an apocalyptic number.

4283338026240 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 4283338026240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9618341241600).

4283338026240 is an abundant number, since it is smaller than the sum of its proper divisors (14953344456960).

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

4283338026240 is a wasteful number, since it uses less digits than its factorization.

4283338026240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2049 (or 2022 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

The spelling of 4283338026240 in words is "four trillion, two hundred eighty-three billion, three hundred thirty-eight million, twenty-six thousand, two hundred forty".