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3300314000000 = 27561650157
BaseRepresentation
bin110000000001101010000…
…010110010101010000000
3102200111200120001011012212
4300001222002302222000
5413033020341000000
611004050542441252
7460303600065353
oct60015202625200
912614616034185
103300314000000
111062723239906
12453758593228
131ac2ab71ba14
14b5a43a1429a
155acae779c35
hex3006a0b2a80

3300314000000 has 112 divisors (see below), whose sum is σ = 8218455153990. Its totient is φ = 1320124800000.

The previous prime is 3300313999987. The next prime is 3300314000003. The reversal of 3300314000000 is 4130033.

It is a happy number.

It can be written as a sum of positive squares in 7 ways, for example, as 2045609341504 + 1254704658496 = 1430248^2 + 1120136^2 .

It is not an unprimeable number, because it can be changed into a prime (3300314000003) by changing a digit.

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 13 ways as a sum of consecutive naturals, for example, 1174922 + ... + 2825078.

Almost surely, 23300314000000 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 3300314000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4109227576995).

3300314000000 is an abundant number, since it is smaller than the sum of its proper divisors (4918141153990).

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

3300314000000 is an frugal number, since it uses more digits than its factorization.

3300314000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1650201 (or 1650164 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

Adding to 3300314000000 its reverse (4130033), we get a palindrome (3300318130033).

The spelling of 3300314000000 in words is "three trillion, three hundred billion, three hundred fourteen million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3125 3200 4000 5000 6250 8000 10000 12500 15625 16000 20000 25000 31250 40000 50000 62500 80000 100000 125000 200000 250000 400000 500000 1000000 1650157 2000000 3300314 6600628 8250785 13201256 16501570 26402512 33003140 41253925 52805024 66006280 82507850 105610048 132012560 165015700 206269625 211220096 264025120 330031400 412539250 528050240 660062800 825078500 1031348125 1056100480 1320125600 1650157000 2062696250 2640251200 3300314000 4125392500 5156740625 5280502400 6600628000 8250785000 10313481250 13201256000 16501570000 20626962500 25783703125 26402512000 33003140000 41253925000 51567406250 66006280000 82507850000 103134812500 132012560000 165015700000 206269625000 330031400000 412539250000 660062800000 825078500000 1650157000000 3300314000000