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3003304000000 = 2956375413
BaseRepresentation
bin101011101101000010110…
…111100011101000000000
3101122010001102022212101111
4223231002313203220000
5343201231311000000
610215410535413104
7426660446536123
oct53550267435000
911563042285344
103003304000000
11a5876a8a2897
12406088524194
1318a2971b2aa5
14a5509a343ba
15531c9836cba
hex2bb42de3a00

3003304000000 has 140 divisors (see below), whose sum is σ = 7500851683182. Its totient is φ = 1201318400000.

The previous prime is 3003303999947. The next prime is 3003304000003. The reversal of 3003304000000 is 4033003.

It can be written as a sum of positive squares in 7 ways, for example, as 2507079557376 + 496224442624 = 1583376^2 + 704432^2 .

It is not an unprimeable number, because it can be changed into a prime (3003304000003) by changing a digit.

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 13 ways as a sum of consecutive naturals, for example, 7812294 + ... + 8187706.

Almost surely, 23003304000000 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 3003304000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3750425841591).

3003304000000 is an abundant number, since it is smaller than the sum of its proper divisors (4497547683182).

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

3003304000000 is an frugal number, since it uses more digits than its factorization.

3003304000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375461 (or 375420 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 13.

Adding to 3003304000000 its reverse (4033003), we get a palindrome (3003308033003).

The spelling of 3003304000000 in words is "three trillion, three billion, three hundred four million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 625 640 800 1000 1250 1280 1600 2000 2500 2560 3125 3200 4000 5000 6250 6400 8000 10000 12500 12800 15625 16000 20000 25000 31250 32000 40000 50000 62500 64000 80000 100000 125000 160000 200000 250000 320000 375413 400000 500000 750826 800000 1000000 1501652 1600000 1877065 2000000 3003304 3754130 4000000 6006608 7508260 8000000 9385325 12013216 15016520 18770650 24026432 30033040 37541300 46926625 48052864 60066080 75082600 93853250 96105728 120132160 150165200 187706500 192211456 234633125 240264320 300330400 375413000 469266250 480528640 600660800 750826000 938532500 961057280 1173165625 1201321600 1501652000 1877065000 2346331250 2402643200 3003304000 3754130000 4692662500 4805286400 5865828125 6006608000 7508260000 9385325000 11731656250 12013216000 15016520000 18770650000 23463312500 24026432000 30033040000 37541300000 46926625000 60066080000 75082600000 93853250000 120132160000 150165200000 187706500000 300330400000 375413000000 600660800000 750826000000 1501652000000 3003304000000