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4144080108 = 2237234383601
BaseRepresentation
bin1111011100000001…
…1010010011101100
3101200210211002012110
43313000122103230
531441341030413
61523114004020
7204460046130
oct36700322354
911623732173
104144080108
1118372527a3
12977a16610
13510729c0c
142b453b3c0
15193c358c3
hexf701a4ec

4144080108 has 192 divisors, whose sum is σ = 11961556992. Its totient is φ = 1091059200.

The previous prime is 4144080107. The next prime is 4144080119. The reversal of 4144080108 is 8010804414.

4144080108 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (4144080103) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6895008 + ... + 6895608.

It is an arithmetic number, because the mean of its divisors is an integer number (62299776).

Almost surely, 24144080108 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 4144080108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5980778496).

4144080108 is an abundant number, since it is smaller than the sum of its proper divisors (7817476884).

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

4144080108 is a wasteful number, since it uses less digits than its factorization.

4144080108 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 764 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 4144080108 is about 64374.5299633325. The cubic root of 4144080108 is about 1606.2360936120.

The spelling of 4144080108 in words is "four billion, one hundred forty-four million, eighty thousand, one hundred eight".