Search a number
-
+
14141220500 = 22531117151243
BaseRepresentation
bin11010010101110000…
…11110011010010100
31100111112012102200102
431022320132122110
5212430123024000
610255115233232
71010301251051
oct151270363224
940445172612
1014141220500
115aa73942a0
1228a7a48818
1314449558c4
14982158028
1557b72b3d5
hex34ae1e694

14141220500 has 96 divisors (see below), whose sum is σ = 35674224768. Its totient is φ = 4839744000.

The previous prime is 14141220487. The next prime is 14141220503. The reversal of 14141220500 is 502214141.

It is a happy number.

14141220500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14141220503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17879 + ... + 169121.

It is an arithmetic number, because the mean of its divisors is an integer number (371606508).

Almost surely, 214141220500 is an apocalyptic number.

14141220500 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 14141220500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17837112384).

14141220500 is an abundant number, since it is smaller than the sum of its proper divisors (21533004268).

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

14141220500 is a wasteful number, since it uses less digits than its factorization.

14141220500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151290 (or 151278 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

Adding to 14141220500 its reverse (502214141), we get a palindrome (14643434641).

The spelling of 14141220500 in words is "fourteen billion, one hundred forty-one million, two hundred twenty thousand, five hundred".

Divisors: 1 2 4 5 10 11 17 20 22 25 34 44 50 55 68 85 100 110 125 170 187 220 250 275 340 374 425 500 550 748 850 935 1100 1375 1700 1870 2125 2750 3740 4250 4675 5500 8500 9350 18700 23375 46750 93500 151243 302486 604972 756215 1512430 1663673 2571131 3024860 3327346 3781075 5142262 6654692 7562150 8318365 10284524 12855655 15124300 16636730 18905375 25711310 28282441 33273460 37810750 41591825 51422620 56564882 64278275 75621500 83183650 113129764 128556550 141412205 166367300 207959125 257113100 282824410 321391375 415918250 565648820 642782750 707061025 831836500 1285565500 1414122050 2828244100 3535305125 7070610250 14141220500