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4130034040 = 2351118894969
BaseRepresentation
bin1111011000101011…
…0101000101111000
3101122211101110121201
43312022311011320
531424242042130
61521452543544
7204226465366
oct36612650570
911584343551
104130034040
11182a329780
12973181bb4
1350a84c832
142b2722636
151928adbca
hexf62b5178

4130034040 has 64 divisors (see below), whose sum is σ = 10144764000. Its totient is φ = 1500733440.

The previous prime is 4130034037. The next prime is 4130034049. The reversal of 4130034040 is 404300314.

It is a junction number, because it is equal to n+sod(n) for n = 4130033999 and 4130034017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4130034049) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 828676 + ... + 833644.

Almost surely, 24130034040 is an apocalyptic number.

4130034040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4130034040 is an abundant number, since it is smaller than the sum of its proper divisors (6014729960).

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

4130034040 is a wasteful number, since it uses less digits than its factorization.

4130034040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6880 (or 6876 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 4130034040 is about 64265.3408922726. The cubic root of 4130034040 is about 1604.4192980149.

Adding to 4130034040 its reverse (404300314), we get a palindrome (4534334354).

The spelling of 4130034040 in words is "four billion, one hundred thirty million, thirty-four thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 1889 3778 4969 7556 9445 9938 15112 18890 19876 20779 24845 37780 39752 41558 49690 54659 75560 83116 99380 103895 109318 166232 198760 207790 218636 273295 415580 437272 546590 831160 1093180 2186360 9386441 18772882 37545764 46932205 75091528 93864410 103250851 187728820 206501702 375457640 413003404 516254255 826006808 1032508510 2065017020 4130034040