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4140104320 = 27511588083
BaseRepresentation
bin1111011011000100…
…1111101010000000
3101200112100002110001
43312301033222000
531434331314240
61522452445344
7204411206662
oct36661175200
911615302401
104140104320
111834a87720
12976619854
1350c967391
142b3bc4532
151936ec89a
hexf6c4fa80

4140104320 has 64 divisors (see below), whose sum is σ = 10797222240. Its totient is φ = 1505489920.

The previous prime is 4140104303. The next prime is 4140104321. The reversal of 4140104320 is 234010414.

4140104320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (4140104321) 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, 287002 + ... + 301081.

Almost surely, 24140104320 is an apocalyptic number.

4140104320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4140104320 is an abundant number, since it is smaller than the sum of its proper divisors (6657117920).

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

4140104320 is a wasteful number, since it uses less digits than its factorization.

4140104320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588113 (or 588101 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 4140104320 is about 64343.6424209883. The cubic root of 4140104320 is about 1605.7222604374.

Adding to 4140104320 its reverse (234010414), we get a palindrome (4374114734).

The spelling of 4140104320 in words is "four billion, one hundred forty million, one hundred four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 320 352 440 640 704 880 1408 1760 3520 7040 588083 1176166 2352332 2940415 4704664 5880830 6468913 9409328 11761660 12937826 18818656 23523320 25875652 32344565 37637312 47046640 51751304 64689130 75274624 94093280 103502608 129378260 188186560 207005216 258756520 376373120 414010432 517513040 828020864 1035026080 2070052160 4140104320