Search a number
-
+
350356720129 = 1361899535209
BaseRepresentation
bin1010001100100101110…
…00110100101000000001
31020111022221222110101121
411012102320310220001
521220012310021004
6424541320232241
734212110661433
oct5062270645001
91214287873347
10350356720129
11125649264479
1257a9990b681
1327066768520
1412d58dac653
1591a8518854
hex5192e34a01

350356720129 has 32 divisors (see below), whose sum is σ = 388282960800. Its totient is φ = 314139893760.

The previous prime is 350356720123. The next prime is 350356720159. The reversal of 350356720129 is 921027653053.

It can be written as a sum of positive squares in 16 ways, for example, as 171376956529 + 178979763600 = 413977^2 + 423060^2 .

It is a cyclic number.

It is not a de Polignac number, because 350356720129 - 25 = 350356720097 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (350356720123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67257277 + ... + 67262485.

It is an arithmetic number, because the mean of its divisors is an integer number (12133842525).

Almost surely, 2350356720129 is an apocalyptic number.

It is an amenable number.

350356720129 is a deficient number, since it is larger than the sum of its proper divisors (37926240671).

350356720129 is a wasteful number, since it uses less digits than its factorization.

350356720129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6325.

The product of its (nonzero) digits is 340200, while the sum is 43.

The spelling of 350356720129 in words is "three hundred fifty billion, three hundred fifty-six million, seven hundred twenty thousand, one hundred twenty-nine".

Divisors: 1 13 61 89 793 953 1157 5209 5429 12389 58133 67717 70577 84817 317749 463601 755729 1102621 4130737 4964177 5173837 6026813 28279661 64534301 67259881 302814797 367635593 441811753 3936592361 5743552789 26950516933 350356720129