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104034315040 = 255650214469
BaseRepresentation
bin110000011100011101…
…1011010101100100000
3100221112022220210002021
41200320323122230200
53201030241040130
6115443120231224
710342032041635
oct1407073325440
9327468823067
10104034315040
1140136727767
12181b4a6b514
139a6c5871c6
14506cb8818c
152a8d4dc37a
hex1838edab20

104034315040 has 24 divisors (see below), whose sum is σ = 245781069660. Its totient is φ = 41613725952.

The previous prime is 104034315037. The next prime is 104034315043. The reversal of 104034315040 is 40513430401.

It is an interprime number because it is at equal distance from previous prime (104034315037) and next prime (104034315043).

It can be written as a sum of positive squares in 2 ways, for example, as 89016302736 + 15018012304 = 298356^2 + 122548^2 .

It is a junction number, because it is equal to n+sod(n) for n = 104034314996 and 104034315014.

It is not an unprimeable number, because it can be changed into a prime (104034315043) 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 3 ways as a sum of consecutive naturals, for example, 325107075 + ... + 325107394.

Almost surely, 2104034315040 is an apocalyptic number.

104034315040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104034315040 is an abundant number, since it is smaller than the sum of its proper divisors (141746754620).

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

104034315040 is an equidigital number, since it uses as much as digits as its factorization.

104034315040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650214484 (or 650214476 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 104034315040 its reverse (40513430401), we get a palindrome (144547745441).

The spelling of 104034315040 in words is "one hundred four billion, thirty-four million, three hundred fifteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 650214469 1300428938 2600857876 3251072345 5201715752 6502144690 10403431504 13004289380 20806863008 26008578760 52017157520 104034315040