Search a number
-
+
4111000000 = 26564111
BaseRepresentation
bin1111010100001000…
…1110000111000000
3101121111120102211021
43311002032013000
531404404000000
61515532555224
7203605631512
oct36502160700
911544512737
104111000000
11181a609168
12968922b14
13506916ca3
142adda9bb2
15190d9e11a
hexf508e1c0

4111000000 has 98 divisors (see below), whose sum is σ = 10199556944. Its totient is φ = 1644000000.

The previous prime is 4110999953. The next prime is 4111000001. The reversal of 4111000000 is 1114.

It is a happy number.

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4111000001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 997945 + ... + 1002055.

Almost surely, 24111000000 is an apocalyptic number.

4111000000 is a gapful number since it is divisible by the number (40) 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 4111000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5099778472).

4111000000 is an abundant number, since it is smaller than the sum of its proper divisors (6088556944).

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

4111000000 is an frugal number, since it uses more digits than its factorization.

4111000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4153 (or 4118 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 4111000000 is about 64117.0804076418. The cubic root of 4111000000 is about 1601.9507456530.

Adding to 4111000000 its reverse (1114), we get a palindrome (4111001114).

The spelling of 4111000000 in words is "four billion, one hundred eleven million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 3125 4000 4111 5000 6250 8000 8222 10000 12500 15625 16444 20000 20555 25000 31250 32888 40000 41110 50000 62500 65776 82220 100000 102775 125000 131552 164440 200000 205550 250000 263104 328880 411100 500000 513875 657760 822200 1000000 1027750 1315520 1644400 2055500 2569375 3288800 4111000 5138750 6577600 8222000 10277500 12846875 16444000 20555000 25693750 32888000 41110000 51387500 64234375 82220000 102775000 128468750 164440000 205550000 256937500 411100000 513875000 822200000 1027750000 2055500000 4111000000