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4140544144 = 2411191238201
BaseRepresentation
bin1111011011001011…
…1011000010010000
3101200120011102202211
43312302323002100
531434434403034
61522510121504
7204415021162
oct36662730220
911616142684
104140544144
111835258110
129767b0294
1350ca8c629
142b3c9a932
15193787d64
hexf6cbb090

4140544144 has 40 divisors (see below), whose sum is σ = 9212222880. Its totient is φ = 1783008000.

The previous prime is 4140544139. The next prime is 4140544147. The reversal of 4140544144 is 4414450414.

4140544144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (4140544147) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 615757 + ... + 622444.

It is an arithmetic number, because the mean of its divisors is an integer number (230305572).

Almost surely, 24140544144 is an apocalyptic number.

4140544144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4140544144 is an abundant number, since it is smaller than the sum of its proper divisors (5071678736).

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

4140544144 is a wasteful number, since it uses less digits than its factorization.

4140544144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1238239 (or 1238233 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 31.

The square root of 4140544144 is about 64347.0601037841. The cubic root of 4140544144 is about 1605.7791197277.

Adding to 4140544144 its reverse (4414450414), we get a palindrome (8554994558).

The spelling of 4140544144 in words is "four billion, one hundred forty million, five hundred forty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 19 22 38 44 76 88 152 176 209 304 418 836 1672 3344 1238201 2476402 4952804 9905608 13620211 19811216 23525819 27240422 47051638 54480844 94103276 108961688 188206552 217923376 258784009 376413104 517568018 1035136036 2070272072 4140544144