Search a number
-
+
4120311040 = 2853218993
BaseRepresentation
bin1111010110010110…
…1111010100000000
3101122011002111011121
43311211233110000
531414244423130
61520504322024
7204051031426
oct36545572400
911564074147
104120311040
11182489873a
1296ba73314
13508827091
142b1311116
15191adcd7a
hexf596f500

4120311040 has 36 divisors (see below), whose sum is σ = 9869435604. Its totient is φ = 1648123904.

The previous prime is 4120311037. The next prime is 4120311043. The reversal of 4120311040 is 401130214.

4120311040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4120311037) and next prime (4120311043).

It can be written as a sum of positive squares in 2 ways, for example, as 1765344256 + 2354966784 = 42016^2 + 48528^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4120311043) 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, 1608217 + ... + 1610776.

It is an arithmetic number, because the mean of its divisors is an integer number (274150989).

Almost surely, 24120311040 is an apocalyptic number.

4120311040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4120311040 is an abundant number, since it is smaller than the sum of its proper divisors (5749124564).

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

4120311040 is an equidigital number, since it uses as much as digits as its factorization.

4120311040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3219014 (or 3219000 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 4120311040 is about 64189.6490097897. The cubic root of 4120311040 is about 1603.1592578255.

Adding to 4120311040 its reverse (401130214), we get a palindrome (4521441254).

The spelling of 4120311040 in words is "four billion, one hundred twenty million, three hundred eleven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 3218993 6437986 12875972 16094965 25751944 32189930 51503888 64379860 103007776 128759720 206015552 257519440 412031104 515038880 824062208 1030077760 2060155520 4120311040