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4243163040 = 253255321049
BaseRepresentation
bin1111110011101001…
…1000011110100000
3101221201021000102200
43330322120132200
532142222204130
61541013413200
7210102201504
oct37472303640
911851230380
104243163040
111888178216
129a503a200
1352810c17c
142c3770304
1519c7a8760
hexfce987a0

4243163040 has 216 divisors, whose sum is σ = 14772221100. Its totient is φ = 1109102592.

The previous prime is 4243162933. The next prime is 4243163063. The reversal of 4243163040 is 403613424.

4243163040 is a `hidden beast` number, since 4 + 24 + 3 + 1 + 630 + 4 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 3630303504 + 612859536 = 60252^2 + 24756^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4243162995 and 4243163013.

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 35 ways as a sum of consecutive naturals, for example, 4044436 + ... + 4045484.

Almost surely, 24243163040 is an apocalyptic number.

4243163040 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 4243163040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7386110550).

4243163040 is an abundant number, since it is smaller than the sum of its proper divisors (10529058060).

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

4243163040 is a wasteful number, since it uses less digits than its factorization.

4243163040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1176 (or 1112 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 4243163040 is about 65139.5658567049. The cubic root of 4243163040 is about 1618.9368424433.

Adding to 4243163040 its reverse (403613424), we get a palindrome (4646776464).

The spelling of 4243163040 in words is "four billion, two hundred forty-three million, one hundred sixty-three thousand, forty".