Search a number
-
+
4013043000 = 233533143151
BaseRepresentation
bin1110111100110010…
…0010110100111000
3101100200020201002020
43233030202310320
531204314334000
61502113234440
7201306205551
oct35714426470
911320221066
104013043000
11177a29266a
1293bb62a20
134bc53a375
142a0d8b328
1518749eba0
hexef322d38

4013043000 has 128 divisors (see below), whose sum is σ = 12924887040. Its totient is φ = 1035600000.

The previous prime is 4013042993. The next prime is 4013043037. The reversal of 4013043000 is 3403104.

It is a super-2 number, since 2×40130430002 = 32209028239698000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71425 + ... + 114575.

It is an arithmetic number, because the mean of its divisors is an integer number (100975680).

Almost surely, 24013043000 is an apocalyptic number.

4013043000 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 4013043000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6462443520).

4013043000 is an abundant number, since it is smaller than the sum of its proper divisors (8911844040).

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

4013043000 is a wasteful number, since it uses less digits than its factorization.

4013043000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43206 (or 43192 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 4013043000 is about 63348.5832517192. The cubic root of 4013043000 is about 1589.1245526818.

Adding to 4013043000 its reverse (3403104), we get a palindrome (4016446104).

The spelling of 4013043000 in words is "four billion, thirteen million, forty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 31 40 50 60 62 75 93 100 120 124 125 150 155 186 200 248 250 300 310 372 375 465 500 600 620 744 750 775 930 1000 1240 1500 1550 1860 2325 3000 3100 3720 3875 4650 6200 7750 9300 11625 15500 18600 23250 31000 43151 46500 86302 93000 129453 172604 215755 258906 345208 431510 517812 647265 863020 1035624 1078775 1294530 1337681 1726040 2157550 2589060 2675362 3236325 4013043 4315100 5178120 5350724 5393875 6472650 6688405 8026086 8630200 10701448 10787750 12945300 13376810 16052172 16181625 20065215 21575500 25890600 26753620 32104344 32363250 33442025 40130430 43151000 53507240 64726500 66884050 80260860 100326075 129453000 133768100 160521720 167210125 200652150 267536200 334420250 401304300 501630375 668840500 802608600 1003260750 1337681000 2006521500 4013043000