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4140110304 = 2532111306853
BaseRepresentation
bin1111011011000101…
…0001000111100000
3101200112100101122200
43312301101013200
531434332012204
61522452533200
7204411233301
oct36661210740
911615311580
104140110304
111834a91170
12976621200
1350c96a015
142b3bc67a8
151936ee539
hexf6c511e0

4140110304 has 72 divisors (see below), whose sum is σ = 12843761112. Its totient is φ = 1254577920.

The previous prime is 4140110281. The next prime is 4140110309. The reversal of 4140110304 is 4030110414.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4140110309) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 650259 + ... + 656594.

It is an arithmetic number, because the mean of its divisors is an integer number (178385571).

Almost surely, 24140110304 is an apocalyptic number.

4140110304 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4140110304 is an abundant number, since it is smaller than the sum of its proper divisors (8703650808).

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

4140110304 is a wasteful number, since it uses less digits than its factorization.

4140110304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1306880 (or 1306869 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 4140110304 is about 64343.6889212920. The cubic root of 4140110304 is about 1605.7230340602.

Adding to 4140110304 its reverse (4030110414), we get a palindrome (8170220718).

It can be divided in two parts, 4140110 and 304, that added together give a palindrome (4140414).

The spelling of 4140110304 in words is "four billion, one hundred forty million, one hundred ten thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 1306853 2613706 3920559 5227412 7841118 10454824 11761677 14375383 15682236 20909648 23523354 28750766 31364472 41819296 43126149 47046708 57501532 62728944 86252298 94093416 115003064 125457888 129378447 172504596 188186832 230006128 258756894 345009192 376373664 460012256 517513788 690018384 1035027576 1380036768 2070055152 4140110304