Search a number
-
+
441406203840 = 26335723317321
BaseRepresentation
bin1100110110001011101…
…11000010011111000000
31120012100100122110112000
412123011313002133000
524212444442010330
6534440150504000
743614312553320
oct6330567023700
91505310573460
10441406203840
11160221327178
127166a065000
1332816b32084
1417515419280
15b736a9d560
hex66c5dc27c0

441406203840 has 448 divisors, whose sum is σ = 1857019115520. Its totient is φ = 96505896960.

The previous prime is 441406203839. The next prime is 441406203841. The reversal of 441406203840 is 48302604144.

441406203840 is a `hidden beast` number, since 4 + 4 + 1 + 406 + 203 + 8 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (441406203839) and next prime (441406203841).

It is a tau number, because it is divible by the number of its divisors (448).

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 = 441406203795 and 441406203804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441406203841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1232380 + ... + 1549700.

Almost surely, 2441406203840 is an apocalyptic number.

441406203840 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 441406203840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (928509557760).

441406203840 is an abundant number, since it is smaller than the sum of its proper divisors (1415612911680).

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

441406203840 is a wasteful number, since it uses less digits than its factorization.

441406203840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317377 (or 317361 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 441406203840 its reverse (48302604144), we get a palindrome (489708807984).

The spelling of 441406203840 in words is "four hundred forty-one billion, four hundred six million, two hundred three thousand, eight hundred forty".