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104022434000 = 245352011217
BaseRepresentation
bin110000011100000111…
…0000110000011010000
3100221111111120011100202
41200320032012003100
53201014220342000
6115442013434332
710341526046222
oct1407016060320
9327444504322
10104022434000
114012aa52321
12181b0a9b9a8
139a69c873c4
14506b374412
152a8c441dd5
hex18383860d0

104022434000 has 40 divisors (see below), whose sum is σ = 251526250248. Its totient is φ = 41608972800.

The previous prime is 104022433981. The next prime is 104022434051. The reversal of 104022434000 is 434220401.

It can be written as a sum of positive squares in 4 ways, for example, as 1614753856 + 102407680144 = 40184^2 + 320012^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26003609 + ... + 26007608.

Almost surely, 2104022434000 is an apocalyptic number.

104022434000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104022434000 is an abundant number, since it is smaller than the sum of its proper divisors (147503816248).

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

104022434000 is an equidigital number, since it uses as much as digits as its factorization.

104022434000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52011240 (or 52011224 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 104022434000 its reverse (434220401), we get a palindrome (104456654401).

The spelling of 104022434000 in words is "one hundred four billion, twenty-two million, four hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 52011217 104022434 208044868 260056085 416089736 520112170 832179472 1040224340 1300280425 2080448680 2600560850 4160897360 5201121700 6501402125 10402243400 13002804250 20804486800 26005608500 52011217000 104022434000