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4028135105115 = 3251174021109937
BaseRepresentation
bin111010100111011111100…
…011111110001001011011
3112021002022122212010110100
4322213133203332021123
51011444110041330430
612322255534550443
7564010641312462
oct72473743761133
915232278763410
104028135105115
111313360287560
1255081a368423
13232b0b9cb824
14dcd69c1b9d9
156ebab00c960
hex3a9df8fe25b

4028135105115 has 48 divisors (see below), whose sum is σ = 7617009475296. Its totient is φ = 1952991052800.

The previous prime is 4028135105087. The next prime is 4028135105117. The reversal of 4028135105115 is 5115015318204.

4028135105115 is a `hidden beast` number, since 4 + 0 + 2 + 8 + 135 + 1 + 0 + 511 + 5 = 666.

4028135105115 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4028135105115 - 25 = 4028135105083 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4028135105115.

It is not an unprimeable number, because it can be changed into a prime (4028135105117) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36585427 + ... + 36695363.

It is an arithmetic number, because the mean of its divisors is an integer number (158687697402).

Almost surely, 24028135105115 is an apocalyptic number.

4028135105115 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4028135105115 is a deficient number, since it is larger than the sum of its proper divisors (3588874370181).

4028135105115 is a wasteful number, since it uses less digits than its factorization.

4028135105115 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183980 (or 183977 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 36.

The spelling of 4028135105115 in words is "four trillion, twenty-eight billion, one hundred thirty-five million, one hundred five thousand, one hundred fifteen".

Divisors: 1 3 5 9 11 15 33 45 55 99 165 495 74021 109937 222063 329811 370105 549685 666189 814231 989433 1110315 1209307 1649055 2442693 3330945 3627921 4071155 4947165 6046535 7328079 10883763 12213465 18139605 36640395 54418815 8137646677 24412940031 40688233385 73238820093 89514113447 122064700155 268542340341 366194100465 447570567235 805627021023 1342711701705 4028135105115