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4140044304 = 2431164712119
BaseRepresentation
bin1111011011000100…
…0001000000010000
3101200112020001010020
43312301001000100
531434322404204
61522451303440
7204410540004
oct36661010020
911615201106
104140044304
111834a46620
129765aab80
1350c945c76
142b3baa704
151936d9bd9
hexf6c41010

4140044304 has 80 divisors (see below), whose sum is σ = 11686394880. Its totient is φ = 1252516480.

The previous prime is 4140044297. The next prime is 4140044309. The reversal of 4140044304 is 4034400414.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (4140044309) 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 15 ways as a sum of consecutive naturals, for example, 335557 + ... + 347675.

It is an arithmetic number, because the mean of its divisors is an integer number (146079936).

Almost surely, 24140044304 is an apocalyptic number.

4140044304 is a gapful number since it is divisible by the number (44) 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 4140044304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5843197440).

4140044304 is an abundant number, since it is smaller than the sum of its proper divisors (7546350576).

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

4140044304 is a wasteful number, since it uses less digits than its factorization.

4140044304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12788 (or 12782 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 4140044304 is about 64343.1760484358. The cubic root of 4140044304 is about 1605.7145014145.

Adding to 4140044304 its reverse (4034400414), we get a palindrome (8174444718).

The spelling of 4140044304 in words is "four billion, one hundred forty million, forty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 647 1294 1941 2588 3882 5176 7117 7764 10352 12119 14234 15528 21351 24238 28468 31056 36357 42702 48476 56936 72714 85404 96952 113872 133309 145428 170808 193904 266618 290856 341616 399927 533236 581712 799854 1066472 1599708 2132944 3199416 6398832 7840993 15681986 23522979 31363972 47045958 62727944 86250923 94091916 125455888 172501846 188183832 258752769 345003692 376367664 517505538 690007384 1035011076 1380014768 2070022152 4140044304