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300410420000 = 255429517949
BaseRepresentation
bin1000101111100011101…
…10110011101100100000
31001201102010012112010212
410113301312303230200
514410220031420000
6350001233513252
730463310303165
oct4276166635440
91051363175125
10300410420000
11106448939989
124a27aa12828
1322436b7ac92
141077b85a06c
157c3372ec35
hex45f1db3b20

300410420000 has 120 divisors (see below), whose sum is σ = 764540815500. Its totient is φ = 116020352000.

The previous prime is 300410419999. The next prime is 300410420027. The reversal of 300410420000 is 24014003.

It can be written as a sum of positive squares in 10 ways, for example, as 14348944 + 300396071056 = 3788^2 + 548084^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 321026 + ... + 838974.

Almost surely, 2300410420000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 300410420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382270407750).

300410420000 is an abundant number, since it is smaller than the sum of its proper divisors (464130395500).

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

300410420000 is an equidigital number, since it uses as much as digits as its factorization.

300410420000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518008 (or 517985 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 300410420000 its reverse (24014003), we get a palindrome (300434434003).

The spelling of 300410420000 in words is "three hundred billion, four hundred ten million, four hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 32 40 50 58 80 100 116 125 145 160 200 232 250 290 400 464 500 580 625 725 800 928 1000 1160 1250 1450 2000 2320 2500 2900 3625 4000 4640 5000 5800 7250 10000 11600 14500 18125 20000 23200 29000 36250 58000 72500 116000 145000 290000 517949 580000 1035898 2071796 2589745 4143592 5179490 8287184 10358980 12948725 15020521 16574368 20717960 25897450 30041042 41435920 51794900 60082084 64743625 75102605 82871840 103589800 120164168 129487250 150205210 207179600 240328336 258974500 300410420 323718125 375513025 414359200 480656672 517949000 600820840 647436250 751026050 1035898000 1201641680 1294872500 1502052100 1877565125 2071796000 2403283360 2589745000 3004104200 3755130250 5179490000 6008208400 7510260500 9387825625 10358980000 12016416800 15020521000 18775651250 30041042000 37551302500 60082084000 75102605000 150205210000 300410420000