Search a number
-
+
305205410000 = 245430520541
BaseRepresentation
bin1000111000011111010…
…10001111100011010000
31002011210021211020212002
410130033222033203100
520000030041110000
6352113123053132
731023163115651
oct4341752174320
91064707736762
10305205410000
11108489551937
124b1988111a8
1322a1c3ba07a
1410ab45d3528
157e1468c8d5
hex470fa8f8d0

305205410000 has 50 divisors (see below), whose sum is σ = 738932842362. Its totient is φ = 122082160000.

The previous prime is 305205409979. The next prime is 305205410011. The reversal of 305205410000 is 14502503.

It can be written as a sum of positive squares in 5 ways, for example, as 163067361856 + 142138048144 = 403816^2 + 377012^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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 9 ways as a sum of consecutive naturals, for example, 15250271 + ... + 15270270.

Almost surely, 2305205410000 is an apocalyptic number.

It is an amenable number.

305205410000 is an abundant number, since it is smaller than the sum of its proper divisors (433727432362).

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

305205410000 is an equidigital number, since it uses as much as digits as its factorization.

305205410000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30520569 (or 30520548 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

Adding to 305205410000 its reverse (14502503), we get a palindrome (305219912503).

The spelling of 305205410000 in words is "three hundred five billion, two hundred five million, four hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 30520541 61041082 122082164 152602705 244164328 305205410 488328656 610410820 763013525 1220821640 1526027050 2441643280 3052054100 3815067625 6104108200 7630135250 12208216400 15260270500 19075338125 30520541000 38150676250 61041082000 76301352500 152602705000 305205410000