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14120033000 = 235323360601
BaseRepresentation
bin11010010011001111…
…01001101011101000
31100110001022222220012
431021213221223220
5212404212024000
610253041151052
71006623204653
oct151147515350
940401288805
1014120033000
115a96432867
1228a092b488
131440447b18
1497d40089a
15579943735
hex3499e9ae8

14120033000 has 64 divisors (see below), whose sum is σ = 33183231120. Its totient is φ = 5623680000.

The previous prime is 14120032999. The next prime is 14120033021. The reversal of 14120033000 is 33002141.

It can be written as a sum of positive squares in 8 ways, for example, as 1363234084 + 12756798916 = 36922^2 + 112946^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 202700 + ... + 263300.

Almost surely, 214120033000 is an apocalyptic number.

14120033000 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 14120033000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16591615560).

14120033000 is an abundant number, since it is smaller than the sum of its proper divisors (19063198120).

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

14120033000 is a wasteful number, since it uses less digits than its factorization.

14120033000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60855 (or 60841 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 14120033000 its reverse (33002141), we get a palindrome (14153035141).

The spelling of 14120033000 in words is "fourteen billion, one hundred twenty million, thirty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 233 250 466 500 932 1000 1165 1864 2330 4660 5825 9320 11650 23300 29125 46600 58250 60601 116500 121202 233000 242404 303005 484808 606010 1212020 1515025 2424040 3030050 6060100 7575125 12120200 14120033 15150250 28240066 30300500 56480132 60601000 70600165 112960264 141200330 282400660 353000825 564801320 706001650 1412003300 1765004125 2824006600 3530008250 7060016500 14120033000