Search a number
-
+
30586839040 = 2135746749
BaseRepresentation
bin11100011111000111…
…100010000000000000
32220221122112102012101
4130133013202000000
51000120212322130
622015034040144
72131653561562
oct343707420000
986848472171
1030586839040
1111a7652297a
125b17579054
132b65b33434
1416a2367332
15be03e71ca
hex71f1e2000

30586839040 has 56 divisors (see below), whose sum is σ = 73404031500. Its totient is φ = 12234719232.

The previous prime is 30586838981. The next prime is 30586839053. The reversal of 30586839040 is 4093868503.

It can be written as a sum of positive squares in 2 ways, for example, as 30281568256 + 305270784 = 174016^2 + 17472^2 .

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 3 ways as a sum of consecutive naturals, for example, 332415 + ... + 414334.

Almost surely, 230586839040 is an apocalyptic number.

It is an amenable number.

30586839040 is an abundant number, since it is smaller than the sum of its proper divisors (42817192460).

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

30586839040 is an frugal number, since it uses more digits than its factorization.

30586839040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746780 (or 746756 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 46.

The spelling of 30586839040 in words is "thirty billion, five hundred eighty-six million, eight hundred thirty-nine thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2048 2560 4096 5120 8192 10240 20480 40960 746749 1493498 2986996 3733745 5973992 7467490 11947984 14934980 23895968 29869960 47791936 59739920 95583872 119479840 191167744 238959680 382335488 477919360 764670976 955838720 1529341952 1911677440 3058683904 3823354880 6117367808 7646709760 15293419520 30586839040