Search a number
-
+
44213133400000 = 2655277798071
BaseRepresentation
bin10100000110110001011000…
…00111000101011111000000
312210112201211021201020121021
422003120230013011133000
521243341444122300000
6234011122202435224
712212202443052565
oct1203305407053700
9183481737636537
1044213133400000
11130a6759196724
124b60974b02b14
131b893855c0266
14acbcd9c6c86c
1551a14214e11a
hex28362c1c57c0

44213133400000 has 168 divisors, whose sum is σ = 110058307504992. Its totient is φ = 17621385600000.

The previous prime is 44213133399983. The next prime is 44213133400001. The reversal of 44213133400000 is 433131244.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44213133400001) 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 23 ways as a sum of consecutive naturals, for example, 55000965 + ... + 55799035.

It is an arithmetic number, because the mean of its divisors is an integer number (655108973244).

Almost surely, 244213133400000 is an apocalyptic number.

44213133400000 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 44213133400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55029153752496).

44213133400000 is an abundant number, since it is smaller than the sum of its proper divisors (65845174104992).

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

44213133400000 is an frugal number, since it uses more digits than its factorization.

44213133400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798385 (or 798355 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 44213133400000 its reverse (433131244), we get a palindrome (44213566531244).

The spelling of 44213133400000 in words is "forty-four trillion, two hundred thirteen billion, one hundred thirty-three million, four hundred thousand".