Search a number
-
+
4030145000 = 235471131019
BaseRepresentation
bin1111000000110111…
…0010000111101000
3101101212102120121122
43300031302013220
531223204120000
61503523554412
7201604444610
oct36015620750
911355376548
104030145000
111788a03652
1294582ba08
134c2c476ab
142a335da40
15188c2c085
hexf03721e8

4030145000 has 160 divisors (see below), whose sum is σ = 10897761600. Its totient is φ = 1368192000.

The previous prime is 4030144961. The next prime is 4030145003. The reversal of 4030145000 is 5410304.

It is a self number, because there is not a number n which added to its sum of digits gives 4030145000.

It is not an unprimeable number, because it can be changed into a prime (4030145003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3954491 + ... + 3955509.

It is an arithmetic number, because the mean of its divisors is an integer number (68111010).

Almost surely, 24030145000 is an apocalyptic number.

4030145000 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 4030145000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5448880800).

4030145000 is an abundant number, since it is smaller than the sum of its proper divisors (6867616600).

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

4030145000 is a wasteful number, since it uses less digits than its factorization.

4030145000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1165 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 4030145000 is about 63483.4230331037. The cubic root of 4030145000 is about 1591.3787600317.

Adding to 4030145000 its reverse (5410304), we get a palindrome (4035555304).

The spelling of 4030145000 in words is "four billion, thirty million, one hundred forty-five thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 113 125 140 175 200 226 250 280 350 452 500 565 625 700 791 875 904 1000 1019 1130 1250 1400 1582 1750 2038 2260 2500 2825 3164 3500 3955 4076 4375 4520 5000 5095 5650 6328 7000 7133 7910 8152 8750 10190 11300 14125 14266 15820 17500 19775 20380 22600 25475 28250 28532 31640 35000 35665 39550 40760 50950 56500 57064 70625 71330 79100 98875 101900 113000 115147 127375 141250 142660 158200 178325 197750 203800 230294 254750 282500 285320 356650 395500 460588 494375 509500 565000 575735 636875 713300 791000 806029 891625 921176 988750 1019000 1151470 1273750 1426600 1612058 1783250 1977500 2302940 2547500 2878675 3224116 3566500 3955000 4030145 4458125 4605880 5095000 5757350 6448232 7133000 8060290 8916250 11514700 14393375 16120580 17832500 20150725 23029400 28786750 32241160 35665000 40301450 57573500 71966875 80602900 100753625 115147000 143933750 161205800 201507250 287867500 403014500 503768125 575735000 806029000 1007536250 2015072500 4030145000