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30104240040 = 23325739730091
BaseRepresentation
bin11100000010010110…
…100011111110101000
32212201000102211211100
4130002112203332220
5443123141140130
621455114201400
72114003550450
oct340226437650
985630384740
1030104240040
1111849071126
125a01a23260
132ab9b617b4
141658220d60
15bb2d69c60
hex7025a3fa8

30104240040 has 192 divisors, whose sum is σ = 112101125760. Its totient is φ = 6863408640.

The previous prime is 30104240039. The next prime is 30104240041. The reversal of 30104240040 is 4004240103.

It is an interprime number because it is at equal distance from previous prime (30104240039) and next prime (30104240041).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 30104239995 and 30104240022.

It is not an unprimeable number, because it can be changed into a prime (30104240041) 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 47 ways as a sum of consecutive naturals, for example, 985395 + ... + 1015485.

It is an arithmetic number, because the mean of its divisors is an integer number (583860030).

Almost surely, 230104240040 is an apocalyptic number.

30104240040 is a gapful number since it is divisible by the number (30) 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 30104240040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56050562880).

30104240040 is an abundant number, since it is smaller than the sum of its proper divisors (81996885720).

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

30104240040 is a wasteful number, since it uses less digits than its factorization.

30104240040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30512 (or 30505 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 30104240040 its reverse (4004240103), we get a palindrome (34108480143).

The spelling of 30104240040 in words is "thirty billion, one hundred four million, two hundred forty thousand, forty".