Search a number
-
+
4439993902848 = 28337586715641
BaseRepresentation
bin100000010011100010001…
…0000100110011100000000
3120201110101210211211201000
41000213010100212130000
51040221101414342343
613235412142212000
7635531121322020
oct100470420463400
916643353754630
104439993902848
111461a99898139
125b8600b84000
132628c716303a
14114c7ad63a80
157a763a83ed3
hex409c4426700

4439993902848 has 288 divisors, whose sum is σ = 15009052101120. Its totient is φ = 1268272373760.

The previous prime is 4439993902831. The next prime is 4439993902849. The reversal of 4439993902848 is 8482093999344.

4439993902848 is a `hidden beast` number, since 4 + 4 + 399 + 93 + 90 + 28 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×44399939028482 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4439993902849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 283861108 + ... + 283876748.

It is an arithmetic number, because the mean of its divisors is an integer number (52114764240).

Almost surely, 24439993902848 is an apocalyptic number.

4439993902848 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 4439993902848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7504526050560).

4439993902848 is an abundant number, since it is smaller than the sum of its proper divisors (10569058198272).

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

4439993902848 is a wasteful number, since it uses less digits than its factorization.

4439993902848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21540 (or 21520 counting only the distinct ones).

The product of its (nonzero) digits is 483729408, while the sum is 72.

The spelling of 4439993902848 in words is "four trillion, four hundred thirty-nine billion, nine hundred ninety-three million, nine hundred two thousand, eight hundred forty-eight".