Search a number
-
+
44499345408 = 21333741701
BaseRepresentation
bin101001011100010111…
…100010000000000000
311020212020100222002000
4221130113202000000
51212113313023113
632235343224000
73133510123620
oct513427420000
9136766328060
1044499345408
11179657a1921
12875a8a8000
13427228a11b
142221d86880
1512569e6373
hexa5c5e2000

44499345408 has 448 divisors, whose sum is σ = 154571639040. Its totient is φ = 12386304000.

The previous prime is 44499345403. The next prime is 44499345413. The reversal of 44499345408 is 80454399444.

44499345408 is a `hidden beast` number, since 4 + 4 + 4 + 9 + 93 + 4 + 540 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (44499345403) and next prime (44499345413).

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 (54).

It is not an unprimeable number, because it can be changed into a prime (44499345403) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63479458 + ... + 63480158.

It is an arithmetic number, because the mean of its divisors is an integer number (345025980).

Almost surely, 244499345408 is an apocalyptic number.

44499345408 is a gapful number since it is divisible by the number (48) 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 44499345408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77285819520).

44499345408 is an abundant number, since it is smaller than the sum of its proper divisors (110072293632).

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

44499345408 is an equidigital number, since it uses as much as digits as its factorization.

44499345408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 44499345408 in words is "forty-four billion, four hundred ninety-nine million, three hundred forty-five thousand, four hundred eight".