Search a number
-
+
4088080404048 = 24385168341751
BaseRepresentation
bin111011011111010100100…
…101001000111001010000
3112110211001100111211110010
4323133110211020321100
51013434342040412143
612410012130434520
7601232305043034
oct73372445107120
915424040454403
104088080404048
1113368218a2923
12560369a32a40
13238673015904
14101c153121c4
1571518a57a33
hex3b7d4948e50

4088080404048 has 20 divisors (see below), whose sum is σ = 10560874377248. Its totient is φ = 1362693468000.

The previous prime is 4088080404043. The next prime is 4088080404059. The reversal of 4088080404048 is 8404040808804.

It is a happy number.

4088080404048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×40880804040482 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48), and also a Moran number because the ratio is a prime number: 85168341751 = 4088080404048 / (4 + 0 + 8 + 8 + 0 + 8 + 0 + 4 + 0 + 4 + 0 + 4 + 8).

It is a junction number, because it is equal to n+sod(n) for n = 4088080403988 and 4088080404006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4088080404041) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 42584170828 + ... + 42584170923.

Almost surely, 24088080404048 is an apocalyptic number.

4088080404048 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4088080404048 is an abundant number, since it is smaller than the sum of its proper divisors (6472793973200).

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

4088080404048 is a wasteful number, since it uses less digits than its factorization.

4088080404048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85168341762 (or 85168341756 counting only the distinct ones).

The product of its (nonzero) digits is 1048576, while the sum is 48.

The spelling of 4088080404048 in words is "four trillion, eighty-eight billion, eighty million, four hundred four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 85168341751 170336683502 255505025253 340673367004 511010050506 681346734008 1022020101012 1362693468016 2044040202024 4088080404048