Search a number
-
+
204430430000 = 245431659453
BaseRepresentation
bin1011111001100100000…
…0001100111100110000
3201112200002220211220102
42332121000030330300
511322133142230000
6233525233331532
720524655661356
oct2763100147460
9645602824812
10204430430000
11797757148a5
1233753406ba8
131637c177aa4
149c7467b7d6
1554b73be3d5
hex2f9900cf30

204430430000 has 100 divisors (see below), whose sum is σ = 510913305408. Its totient is φ = 79134240000.

The previous prime is 204430429981. The next prime is 204430430003. The reversal of 204430430000 is 34034402.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (100).

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

It is not an unprimeable number, because it can be changed into a prime (204430430003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 19727 + ... + 639726.

Almost surely, 2204430430000 is an apocalyptic number.

204430430000 is a gapful number since it is divisible by the number (20) 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 204430430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255456652704).

204430430000 is an abundant number, since it is smaller than the sum of its proper divisors (306482875408).

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

204430430000 is an equidigital number, since it uses as much as digits as its factorization.

204430430000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659512 (or 659491 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 204430430000 its reverse (34034402), we get a palindrome (204464464402).

The spelling of 204430430000 in words is "two hundred four billion, four hundred thirty million, four hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 31 40 50 62 80 100 124 125 155 200 248 250 310 400 496 500 620 625 775 1000 1240 1250 1550 2000 2480 2500 3100 3875 5000 6200 7750 10000 12400 15500 19375 31000 38750 62000 77500 155000 310000 659453 1318906 2637812 3297265 5275624 6594530 10551248 13189060 16486325 20443043 26378120 32972650 40886086 52756240 65945300 81772172 82431625 102215215 131890600 163544344 164863250 204430430 263781200 327088688 329726500 408860860 412158125 511076075 659453000 817721720 824316250 1022152150 1318906000 1635443440 1648632500 2044304300 2555380375 3297265000 4088608600 5110760750 6594530000 8177217200 10221521500 12776901875 20443043000 25553803750 40886086000 51107607500 102215215000 204430430000