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1415330000 = 2454720219
BaseRepresentation
bin101010001011100…
…0011100011010000
310122122012012202122
41110113003203100
510344311030000
6352235233412
750034051350
oct12427034320
93578165678
101415330000
11666a0a417
12335ba8868
131972b8396
14d5d82b60
15843c2085
hex545c38d0

1415330000 has 100 divisors (see below), whose sum is σ = 3916371360. Its totient is φ = 485232000.

The previous prime is 1415329987. The next prime is 1415330023. The reversal of 1415330000 is 335141.

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

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 59891 + ... + 80109.

Almost surely, 21415330000 is an apocalyptic number.

1415330000 is a gapful number since it is divisible by the number (10) 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 1415330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1958185680).

1415330000 is an abundant number, since it is smaller than the sum of its proper divisors (2501041360).

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

1415330000 is an equidigital number, since it uses as much as digits as its factorization.

1415330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20254 (or 20233 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 1415330000 is about 37620.8718665583. The cubic root of 1415330000 is about 1122.7573429944.

Adding to 1415330000 its reverse (335141), we get a palindrome (1415665141).

The spelling of 1415330000 in words is "one billion, four hundred fifteen million, three hundred thirty thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 500 560 625 700 875 1000 1250 1400 1750 2000 2500 2800 3500 4375 5000 7000 8750 10000 14000 17500 20219 35000 40438 70000 80876 101095 141533 161752 202190 283066 323504 404380 505475 566132 707665 808760 1010950 1132264 1415330 1617520 2021900 2264528 2527375 2830660 3538325 4043800 5054750 5661320 7076650 8087600 10109500 11322640 12636875 14153300 17691625 20219000 25273750 28306600 35383250 40438000 50547500 56613200 70766500 88458125 101095000 141533000 176916250 202190000 283066000 353832500 707665000 1415330000