Search a number
-
+
14444122200 = 2335224073537
BaseRepresentation
bin11010111001110111…
…11101000001011000
31101021122011102200220
431130323331001120
5214040143402300
610345135400040
71020640004304
oct153473750130
941248142626
1014444122200
11614236a882
122971383020
13149262b391
149b0484d04
1559810eda0
hex35cefd058

14444122200 has 48 divisors (see below), whose sum is σ = 44776780680. Its totient is φ = 3851765760.

The previous prime is 14444122193. The next prime is 14444122309. The reversal of 14444122200 is 222144441.

It is a super-2 number, since 2×144441222002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 12036169 + ... + 12037368.

Almost surely, 214444122200 is an apocalyptic number.

14444122200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14444122200 is an abundant number, since it is smaller than the sum of its proper divisors (30332658480).

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

14444122200 is a wasteful number, since it uses less digits than its factorization.

14444122200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24073556 (or 24073547 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 14444122200 its reverse (222144441), we get a palindrome (14666266641).

The spelling of 14444122200 in words is "fourteen billion, four hundred forty-four million, one hundred twenty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 24073537 48147074 72220611 96294148 120367685 144441222 192588296 240735370 288882444 361103055 481470740 577764888 601838425 722206110 962941480 1203676850 1444412220 1805515275 2407353700 2888824440 3611030550 4814707400 7222061100 14444122200