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4143411120 = 243520398467
BaseRepresentation
bin1111011011110111…
…0110111110110000
3101200202120002112010
43312331312332300
531441203123440
61523051402520
7204451261542
oct36675667660
911622502463
104143411120
111836936112
12977753440
13510554574
142b4405692
15193b52580
hexf6f76fb0

4143411120 has 80 divisors (see below), whose sum is σ = 12852391680. Its totient is φ = 1104237312.

The previous prime is 4143411089. The next prime is 4143411121. The reversal of 4143411120 is 211143414.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (4143411121) 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, 485127 + ... + 493593.

It is an arithmetic number, because the mean of its divisors is an integer number (160654896).

Almost surely, 24143411120 is an apocalyptic number.

4143411120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4143411120 is an abundant number, since it is smaller than the sum of its proper divisors (8708980560).

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

4143411120 is a wasteful number, since it uses less digits than its factorization.

4143411120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10522 (or 10516 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 4143411120 is about 64369.3336923725. Note that the first 3 decimals coincide. The cubic root of 4143411120 is about 1606.1496562145.

Adding to 4143411120 its reverse (211143414), we get a palindrome (4354554534).

The spelling of 4143411120 in words is "four billion, one hundred forty-three million, four hundred eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 2039 4078 6117 8156 8467 10195 12234 16312 16934 20390 24468 25401 30585 32624 33868 40780 42335 48936 50802 61170 67736 81560 84670 97872 101604 122340 127005 135472 163120 169340 203208 244680 254010 338680 406416 489360 508020 677360 1016040 2032080 17264213 34528426 51792639 69056852 86321065 103585278 138113704 172642130 207170556 258963195 276227408 345284260 414341112 517926390 690568520 828682224 1035852780 1381137040 2071705560 4143411120