Search a number
-
+
35135320040 = 2352930289069
BaseRepresentation
bin100000101110001110…
…100110111111101000
310100200122022012010122
4200232032212333220
51033424120220130
624050235502412
72352454202252
oct405616467750
9110618265118
1035135320040
111399aa76a87
1269868b7a08
13340c282b02
1419b4492cd2
15da98b02e5
hex82e3a6fe8

35135320040 has 32 divisors (see below), whose sum is σ = 81780489000. Its totient is φ = 13569502464.

The previous prime is 35135320021. The next prime is 35135320079. The reversal of 35135320040 is 4002353153.

It can be written as a sum of positive squares in 4 ways, for example, as 33987872164 + 1147447876 = 184358^2 + 33874^2 .

It is a junction number, because it is equal to n+sod(n) for n = 35135319991 and 35135320009.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15143375 + ... + 15145694.

Almost surely, 235135320040 is an apocalyptic number.

It is an amenable number.

35135320040 is an abundant number, since it is smaller than the sum of its proper divisors (46645168960).

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

35135320040 is a wasteful number, since it uses less digits than its factorization.

35135320040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30289109 (or 30289105 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 26.

Adding to 35135320040 its reverse (4002353153), we get a palindrome (39137673193).

The spelling of 35135320040 in words is "thirty-five billion, one hundred thirty-five million, three hundred twenty thousand, forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 30289069 60578138 121156276 151445345 242312552 302890690 605781380 878383001 1211562760 1756766002 3513532004 4391915005 7027064008 8783830010 17567660020 35135320040