Search a number
-
+
18441005940 = 22345721912227
BaseRepresentation
bin10001001011001010…
…110110101101110100
31202121012000011110000
4101023022312231310
5300231344142230
612245514431300
71221661651500
oct211312665564
952535004400
1018441005940
117903515785
1236a7a32530
13197b6cb546
14c6d227300
1572de6bb60
hex44b2b6b74

18441005940 has 360 divisors, whose sum is σ = 70842673440. Its totient is φ = 3992913792.

The previous prime is 18441005939. The next prime is 18441006013. The reversal of 18441005940 is 4950014481.

18441005940 is a `hidden beast` number, since 18 + 44 + 10 + 0 + 594 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 18441005895 and 18441005904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1502107 + ... + 1514333.

It is an arithmetic number, because the mean of its divisors is an integer number (196785204).

Almost surely, 218441005940 is an apocalyptic number.

18441005940 is a gapful number since it is divisible by the number (10) 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 18441005940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35421336720).

18441005940 is an abundant number, since it is smaller than the sum of its proper divisors (52401667500).

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

18441005940 is a wasteful number, since it uses less digits than its factorization.

18441005940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12281 (or 12263 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 18441005940 in words is "eighteen billion, four hundred forty-one million, five thousand, nine hundred forty".