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34040441130 = 2351766745963
BaseRepresentation
bin11111101100111101…
…111110100100101010
310020212100002120121220
4133230331332210222
51024203323104010
623345444442510
72313360655413
oct375475764452
9106770076556
1034040441130
1113488a3a283
1267200a9436
1332964a6077
14190ccc880a
15d436db970
hex7ecf7e92a

34040441130 has 32 divisors (see below), whose sum is σ = 86502769344. Its totient is φ = 8543483136.

The previous prime is 34040441089. The next prime is 34040441131. The reversal of 34040441130 is 3114404043.

It is a super-3 number, since 3×340404411303 (a number of 33 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34040441130.

It is not an unprimeable number, because it can be changed into a prime (34040441131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33372472 + ... + 33373491.

It is an arithmetic number, because the mean of its divisors is an integer number (2703211542).

Almost surely, 234040441130 is an apocalyptic number.

34040441130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34040441130 is an abundant number, since it is smaller than the sum of its proper divisors (52462328214).

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

34040441130 is a wasteful number, since it uses less digits than its factorization.

34040441130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66745990.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 34040441130 its reverse (3114404043), we get a palindrome (37154845173).

The spelling of 34040441130 in words is "thirty-four billion, forty million, four hundred forty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 255 510 66745963 133491926 200237889 333729815 400475778 667459630 1001189445 1134681371 2002378890 2269362742 3404044113 5673406855 6808088226 11346813710 17020220565 34040441130