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4444126148 = 227411233159
BaseRepresentation
bin1000010001110001…
…11111101111000100
3102110201101222222202
410020320333233010
533100144014043
62012553014032
7215062310000
oct41070775704
912421358882
104444126148
111980658830
12a403b4318
1355a942957
14302323700
151b02531b8
hex108e3fbc4

4444126148 has 240 divisors, whose sum is σ = 10841886720. Its totient is φ = 1575604800.

The previous prime is 4444126139. The next prime is 4444126157. The reversal of 4444126148 is 8416214444.

It is an interprime number because it is at equal distance from previous prime (4444126139) and next prime (4444126157).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 75324143 + ... + 75324201.

It is an arithmetic number, because the mean of its divisors is an integer number (45174528).

Almost surely, 24444126148 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 4444126148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5420943360).

4444126148 is an abundant number, since it is smaller than the sum of its proper divisors (6397760572).

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

4444126148 is a wasteful number, since it uses less digits than its factorization.

4444126148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 133 counting only the distinct ones).

The product of its digits is 98304, while the sum is 38.

The square root of 4444126148 is about 66664.2794005905. The cubic root of 4444126148 is about 1644.1021326232.

The spelling of 4444126148 in words is "four billion, four hundred forty-four million, one hundred twenty-six thousand, one hundred forty-eight".