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4544434440 = 23325731319149
BaseRepresentation
bin1000011101101111…
…01001000100001000
3102201201011012002200
410032313221010020
533301333400230
62030535000200
7220421025000
oct41667510410
912651135080
104544434440
111a2223a947
12a69b09060
13575663880
14311795000
151b8e69160
hex10ede9108

4544434440 has 768 divisors, whose sum is σ = 19656000000. Its totient is φ = 902264832.

The previous prime is 4544434399. The next prime is 4544434451. The reversal of 4544434440 is 444344454.

It is a super-2 number, since 2×45444344402 = 41303768758916227200, which contains 22 as substring.

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 = 4544434395 and 4544434404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 30499486 + ... + 30499634.

It is an arithmetic number, because the mean of its divisors is an integer number (25593750).

Almost surely, 24544434440 is an apocalyptic number.

4544434440 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 4544434440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9828000000).

4544434440 is an abundant number, since it is smaller than the sum of its proper divisors (15111565560).

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

4544434440 is a wasteful number, since it uses less digits than its factorization.

4544434440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 36.

The square root of 4544434440 is about 67412.4205172904. The cubic root of 4544434440 is about 1656.3798837931.

Adding to 4544434440 its reverse (444344454), we get a palindrome (4988778894).

The spelling of 4544434440 in words is "four billion, five hundred forty-four million, four hundred thirty-four thousand, four hundred forty".