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44303044608 = 2123637401
BaseRepresentation
bin101001010000101010…
…101101000000000000
311020100112222212000000
4221100222231000000
51211213034411413
632204052000000
73125604444234
oct512052550000
9136315885000
1044303044608
1117874a06159
128705000000
1342406c97c4
142203c885c4
15124466d073
hexa50aad000

44303044608 has 364 divisors, whose sum is σ = 136762407588. Its totient is φ = 14332723200.

The previous prime is 44303044603. The next prime is 44303044631. The reversal of 44303044608 is 80644030344.

44303044608 is a `hidden beast` number, since 4 + 4 + 3 + 0 + 3 + 0 + 44 + 608 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 42284519424 + 2018525184 = 205632^2 + 44928^2 .

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 (44303044603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 110481208 + ... + 110481608.

Almost surely, 244303044608 is an apocalyptic number.

44303044608 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 44303044608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68381203794).

44303044608 is an abundant number, since it is smaller than the sum of its proper divisors (92459362980).

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

44303044608 is an frugal number, since it uses more digits than its factorization.

44303044608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 44303044608 in words is "forty-four billion, three hundred three million, forty-four thousand, six hundred eight".