Search a number
-
+
4113004000 = 25537146893
BaseRepresentation
bin1111010100100111…
…0111010111100000
3101121122100020210111
43311021313113200
531410412112000
61520043541104
7203631646210
oct36511672740
911548306714
104113004000
111820757866
1296952a794
135071691a1
142b036c240
15191147cba
hexf52775e0

4113004000 has 96 divisors (see below), whose sum is σ = 11549393856. Its totient is φ = 1410163200.

The previous prime is 4113003959. The next prime is 4113004013. The reversal of 4113004000 is 4003114.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45447 + ... + 101446.

It is an arithmetic number, because the mean of its divisors is an integer number (120306186).

Almost surely, 24113004000 is an apocalyptic number.

4113004000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4113004000 is an abundant number, since it is smaller than the sum of its proper divisors (7436389856).

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

4113004000 is a wasteful number, since it uses less digits than its factorization.

4113004000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146925 (or 146907 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 4113004000 is about 64132.7061646396. The cubic root of 4113004000 is about 1602.2110057511.

Adding to 4113004000 its reverse (4003114), we get a palindrome (4117007114).

The spelling of 4113004000 in words is "four billion, one hundred thirteen million, four thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 125 140 160 175 200 224 250 280 350 400 500 560 700 800 875 1000 1120 1400 1750 2000 2800 3500 4000 5600 7000 14000 28000 146893 293786 587572 734465 1028251 1175144 1468930 2056502 2350288 2937860 3672325 4113004 4700576 5141255 5875720 7344650 8226008 10282510 11751440 14689300 16452016 18361625 20565020 23502880 25706275 29378600 32904032 36723250 41130040 51412550 58757200 73446500 82260080 102825100 117514400 128531375 146893000 164520160 205650200 257062750 293786000 411300400 514125500 587572000 822600800 1028251000 2056502000 4113004000