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42104344013040 = 2435175434766721
BaseRepresentation
bin10011001001011001011100…
…11101111110100011110000
312112002010200010102221011010
421210230232131332203300
521004314144031404130
6225314245115350520
711603636616034251
oct1144545635764360
9175063603387133
1042104344013040
11124633965a0281
12488012b752440
131a655655cb08a
14a57c0acccb28
154d036d4ae0b0
hex264b2e77e8f0

42104344013040 has 40 divisors (see below), whose sum is σ = 130523466441168. Its totient is φ = 11227825070080.

The previous prime is 42104344012961. The next prime is 42104344013051. The reversal of 42104344013040 is 4031044340124.

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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 42104344012989 and 42104344013007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87717383121 + ... + 87717383600.

Almost surely, 242104344013040 is an apocalyptic number.

42104344013040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42104344013040 is an abundant number, since it is smaller than the sum of its proper divisors (88419122428128).

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

42104344013040 is a wasteful number, since it uses less digits than its factorization.

42104344013040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175434766737 (or 175434766731 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 42104344013040 its reverse (4031044340124), we get a palindrome (46135388353164).

The spelling of 42104344013040 in words is "forty-two trillion, one hundred four billion, three hundred forty-four million, thirteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 175434766721 350869533442 526304300163 701739066884 877173833605 1052608600326 1403478133768 1754347667210 2105217200652 2631521500815 2806956267536 3508695334420 4210434401304 5263043001630 7017390668840 8420868802608 10526086003260 14034781337680 21052172006520 42104344013040