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44440020324432 = 243219101234768521
BaseRepresentation
bin10100001101010111111111…
…01000000001000001010000
312211100102110102111012121200
422012223333220001001100
521311101130200340212
6234303244040551200
712234454063101435
oct1206537750010120
9184312412435550
1044440020324432
11131839a7a19127
124b98934a82500
131ba48a304ba75
14ad8ca0b59b8c
15520ec0c6e6dc
hex286affa01050

44440020324432 has 240 divisors, whose sum is σ = 132270603990720. Its totient is φ = 13888620288000.

The previous prime is 44440020324383. The next prime is 44440020324433. The reversal of 44440020324432 is 23442302004444.

44440020324432 is a `hidden beast` number, since 4 + 4 + 4 + 4 + 0 + 0 + 203 + 2 + 443 + 2 = 666.

It is a super-2 number, since 2×444400203244322 (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44440020324433) 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 47 ways as a sum of consecutive naturals, for example, 648526332 + ... + 648594852.

It is an arithmetic number, because the mean of its divisors is an integer number (551127516628).

Almost surely, 244440020324432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44440020324432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66135301995360).

44440020324432 is an abundant number, since it is smaller than the sum of its proper divisors (87830583666288).

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

44440020324432 is a wasteful number, since it uses less digits than its factorization.

44440020324432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71002 (or 70993 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 36.

Adding to 44440020324432 its reverse (23442302004444), we get a palindrome (67882322328876).

The spelling of 44440020324432 in words is "forty-four trillion, four hundred forty billion, twenty million, three hundred twenty-four thousand, four hundred thirty-two".