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4143002022 = 23219101277433
BaseRepresentation
bin1111011011110001…
…0011000110100110
3101200201210022100100
43312330103012212
531441102031042
61523034524530
7204444636045
oct36674230646
911621708310
104143002022
111836686815
12977596746
135104402b3
142b433a55c
15193ac124c
hexf6f131a6

4143002022 has 96 divisors (see below), whose sum is σ = 9599073120. Its totient is φ = 1287705600.

The previous prime is 4143001991. The next prime is 4143002023. The reversal of 4143002022 is 2202003414.

It is a super-3 number, since 3×41430020223 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 4143001986 and 4143002004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4143002023) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9567918 + ... + 9568350.

It is an arithmetic number, because the mean of its divisors is an integer number (99990345).

Almost surely, 24143002022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4143002022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4799536560).

4143002022 is an abundant number, since it is smaller than the sum of its proper divisors (5456071098).

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

4143002022 is a wasteful number, since it uses less digits than its factorization.

4143002022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4143002022 is about 64366.1558740306. The cubic root of 4143002022 is about 1606.0967936318.

Adding to 4143002022 its reverse (2202003414), we get a palindrome (6345005436).

The spelling of 4143002022 in words is "four billion, one hundred forty-three million, two thousand, twenty-two".

Divisors: 1 2 3 6 9 18 19 38 57 101 114 171 202 277 303 342 433 554 606 831 866 909 1299 1662 1818 1919 2493 2598 3838 3897 4986 5263 5757 7794 8227 10526 11514 15789 16454 17271 24681 27977 31578 34542 43733 47367 49362 55954 74043 83931 87466 94734 119941 131199 148086 167862 239882 251793 262398 359823 393597 503586 531563 719646 787194 830927 1063126 1079469 1594689 1661854 2158938 2278879 2492781 3189378 4557758 4784067 4985562 6836637 7478343 9568134 12114041 13673274 14956686 20509911 24228082 36342123 41019822 72684246 109026369 218052738 230166779 460333558 690500337 1381000674 2071501011 4143002022