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4130241000 = 233531376747
BaseRepresentation
bin1111011000101110…
…0111100111101000
3101122211202222111220
43312023213213220
531424320203000
61521501222040
7204231316644
oct36613474750
911584688456
104130241000
11182a460216
12973261920
1350a8c2ab2
142b2777c24
151929001a0
hexf62e79e8

4130241000 has 64 divisors (see below), whose sum is σ = 12886361280. Its totient is φ = 1101396800.

The previous prime is 4130240969. The next prime is 4130241007. The reversal of 4130241000 is 1420314.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (4130241007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 685374 + ... + 691373.

It is an arithmetic number, because the mean of its divisors is an integer number (201349395).

Almost surely, 24130241000 is an apocalyptic number.

4130241000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4130241000 is an abundant number, since it is smaller than the sum of its proper divisors (8756120280).

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

4130241000 is a wasteful number, since it uses less digits than its factorization.

4130241000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1376771 (or 1376757 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 4130241000 is about 64266.9510712932. The cubic root of 4130241000 is about 1604.4460972348.

Adding to 4130241000 its reverse (1420314), we get a palindrome (4131661314).

The spelling of 4130241000 in words is "four billion, one hundred thirty million, two hundred forty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 1376747 2753494 4130241 5506988 6883735 8260482 11013976 13767470 16520964 20651205 27534940 33041928 34418675 41302410 55069880 68837350 82604820 103256025 137674700 165209640 172093375 206512050 275349400 344186750 413024100 516280125 688373500 826048200 1032560250 1376747000 2065120500 4130241000