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3313140000 = 2535455219
BaseRepresentation
bin1100010101111010…
…1000000100100000
322112220020221122220
43011132220010200
523241130440000
61304432031040
7145050140202
oct30536500440
98486227586
103313140000
1114501aa135
12785692480
1340a533191
1423603a772
15145ceb1a0
hexc57a8120

3313140000 has 120 divisors (see below), whose sum is σ = 10867958640. Its totient is φ = 883488000.

The previous prime is 3313139989. The next prime is 3313140001. The reversal of 3313140000 is 413133.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (3313140001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 32391 + ... + 87609.

It is an arithmetic number, because the mean of its divisors is an integer number (90566322).

Almost surely, 23313140000 is an apocalyptic number.

3313140000 is a gapful number since it is divisible by the number (30) 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 3313140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5433979320).

3313140000 is an abundant number, since it is smaller than the sum of its proper divisors (7554818640).

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

3313140000 is an equidigital number, since it uses as much as digits as its factorization.

3313140000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55252 (or 55229 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 3313140000 is about 57559.8818622832. The cubic root of 3313140000 is about 1490.7789869884.

Adding to 3313140000 its reverse (413133), we get a palindrome (3313553133).

The spelling of 3313140000 in words is "three billion, three hundred thirteen million, one hundred forty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 625 750 800 1000 1200 1250 1500 1875 2000 2400 2500 3000 3750 4000 5000 6000 7500 10000 12000 15000 20000 30000 55219 60000 110438 165657 220876 276095 331314 441752 552190 662628 828285 883504 1104380 1325256 1380475 1656570 1767008 2208760 2650512 2760950 3313140 4141425 4417520 5301024 5521900 6626280 6902375 8282850 8835040 11043800 13252560 13804750 16565700 20707125 22087600 26505120 27609500 33131400 34511875 41414250 44175200 55219000 66262800 69023750 82828500 103535625 110438000 132525600 138047500 165657000 207071250 220876000 276095000 331314000 414142500 552190000 662628000 828285000 1104380000 1656570000 3313140000