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4130334240 = 25358604863
BaseRepresentation
bin1111011000101111…
…1110011000100000
3101122211221201102020
43312023332120200
531424331143430
61521503221440
7204232155534
oct36613763040
911584851366
104130334240
11182a51427a
129732a7880
1350a926376
142b279dbc4
1519291cb10
hexf62fe620

4130334240 has 48 divisors (see below), whose sum is σ = 13010554368. Its totient is φ = 1101422336.

The previous prime is 4130334211. The next prime is 4130334253. The reversal of 4130334240 is 424330314.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4130334240.

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 7 ways as a sum of consecutive naturals, for example, 4301952 + ... + 4302911.

It is an arithmetic number, because the mean of its divisors is an integer number (271053216).

Almost surely, 24130334240 is an apocalyptic number.

4130334240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4130334240 is an abundant number, since it is smaller than the sum of its proper divisors (8880220128).

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

4130334240 is a wasteful number, since it uses less digits than its factorization.

4130334240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8604881 (or 8604873 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 4130334240 is about 64267.6764789268. The cubic root of 4130334240 is about 1604.4581705762.

Adding to 4130334240 its reverse (424330314), we get a palindrome (4554664554).

The spelling of 4130334240 in words is "four billion, one hundred thirty million, three hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 8604863 17209726 25814589 34419452 43024315 51629178 68838904 86048630 103258356 129072945 137677808 172097260 206516712 258145890 275355616 344194520 413033424 516291780 688389040 826066848 1032583560 1376778080 2065167120 4130334240