Search a number
-
+
136461040300 = 2252131021102811
BaseRepresentation
bin111111100010110110…
…1100011101010101100
3111001020012112002200201
41333011231203222230
54213433011242200
6142404521403244
712600426463354
oct1770555435254
9431205462621
10136461040300
1152966777362
1222544639524
13cb396344c0
14686760bb64
15383a1bac6a
hex1fc5b63aac

136461040300 has 72 divisors (see below), whose sum is σ = 319214398832. Its totient is φ = 50335776000.

The previous prime is 136461040279. The next prime is 136461040301. The reversal of 136461040300 is 3040164631.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (136461040301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1275895 + ... + 1378705.

Almost surely, 2136461040300 is an apocalyptic number.

136461040300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136461040300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159607199416).

136461040300 is an abundant number, since it is smaller than the sum of its proper divisors (182753358532).

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

136461040300 is a wasteful number, since it uses less digits than its factorization.

136461040300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103859 (or 103852 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The spelling of 136461040300 in words is "one hundred thirty-six billion, four hundred sixty-one million, forty thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1021 1300 2042 4084 5105 10210 13273 20420 25525 26546 51050 53092 66365 102100 102811 132730 205622 265460 331825 411244 514055 663650 1028110 1327300 1336543 2056220 2570275 2673086 5140550 5346172 6682715 10281100 13365430 26730860 33413575 66827150 104970031 133654300 209940062 419880124 524850155 1049700310 1364610403 2099400620 2624250775 2729220806 5248501550 5458441612 6823052015 10497003100 13646104030 27292208060 34115260075 68230520150 136461040300