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4143431000 = 235322718253
BaseRepresentation
bin1111011011110111…
…1011110101011000
3101200202121002210102
43312331323311120
531441204243000
61523052034532
7204451403522
oct36675736530
911622532712
104143431000
11183694a045
12977762a48
13510560627
142b440ca12
15193b583d5
hexf6f7bd58

4143431000 has 64 divisors (see below), whose sum is σ = 9738874080. Its totient is φ = 1649980800.

The previous prime is 4143430981. The next prime is 4143431009. The reversal of 4143431000 is 1343414.

It is a happy number.

It is a super-2 number, since 2×41434310002 = 34336040903522000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4143431009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 217874 + ... + 236126.

Almost surely, 24143431000 is an apocalyptic number.

4143431000 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 4143431000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4869437040).

4143431000 is an abundant number, since it is smaller than the sum of its proper divisors (5595443080).

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

4143431000 is a wasteful number, since it uses less digits than its factorization.

4143431000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18501 (or 18487 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 4143431000 is about 64369.4881135465. The cubic root of 4143431000 is about 1606.1522249679.

Adding to 4143431000 its reverse (1343414), we get a palindrome (4144774414).

The spelling of 4143431000 in words is "four billion, one hundred forty-three million, four hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 227 250 454 500 908 1000 1135 1816 2270 4540 5675 9080 11350 18253 22700 28375 36506 45400 56750 73012 91265 113500 146024 182530 227000 365060 456325 730120 912650 1825300 2281625 3650600 4143431 4563250 8286862 9126500 16573724 18253000 20717155 33147448 41434310 82868620 103585775 165737240 207171550 414343100 517928875 828686200 1035857750 2071715500 4143431000