Search a number
-
+
441538923150 = 233521324345007
BaseRepresentation
bin1100110110011011100…
…01010100101010001110
31120012200121101022012000
412123031301110222032
524213232431020100
6534501251253130
743620513631143
oct6331561245216
91505617338160
10441538923150
1116028a236156
12716a65aa1a6
1332838490500
1417528cc63ca
15b743567900
hex66cdc54a8e

441538923150 has 288 divisors, whose sum is σ = 1348144427520. Its totient is φ = 106156552320.

The previous prime is 441538923079. The next prime is 441538923173. The reversal of 441538923150 is 51329835144.

441538923150 is a `hidden beast` number, since 4 + 41 + 538 + 9 + 23 + 1 + 50 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 441538923096 and 441538923105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9787947 + ... + 9832953.

It is an arithmetic number, because the mean of its divisors is an integer number (4681057040).

Almost surely, 2441538923150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441538923150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674072213760).

441538923150 is an abundant number, since it is smaller than the sum of its proper divisors (906605504370).

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

441538923150 is a wasteful number, since it uses less digits than its factorization.

441538923150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45097 (or 45073 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 441538923150 in words is "four hundred forty-one billion, five hundred thirty-eight million, nine hundred twenty-three thousand, one hundred fifty".