Search a number
-
+
104234224000 = 27536514639
BaseRepresentation
bin110000100010011011…
…0000000100110000000
3100222001021002012121211
41201010312000212000
53201432430132000
6115515021055504
710350010166614
oct1410466004600
9328037065554
10104234224000
1140229558285
121824b9b7594
139aa1b0bc2a
14508b545344
152aa0d297ba
hex1844d80980

104234224000 has 64 divisors (see below), whose sum is σ = 259152379200. Its totient is φ = 41693683200.

The previous prime is 104234223893. The next prime is 104234224001. The reversal of 104234224000 is 422432401.

It is a happy number.

104234224000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104234224001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3241320 + ... + 3273319.

It is an arithmetic number, because the mean of its divisors is an integer number (4049255925).

Almost surely, 2104234224000 is an apocalyptic number.

104234224000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104234224000 is an abundant number, since it is smaller than the sum of its proper divisors (154918155200).

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

104234224000 is an frugal number, since it uses more digits than its factorization.

104234224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6514668 (or 6514646 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 104234224000 its reverse (422432401), we get a palindrome (104656656401).

The spelling of 104234224000 in words is "one hundred four billion, two hundred thirty-four million, two hundred twenty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 640 800 1000 1600 2000 3200 4000 8000 16000 6514639 13029278 26058556 32573195 52117112 65146390 104234224 130292780 162865975 208468448 260585560 325731950 416936896 521171120 651463900 814329875 833873792 1042342240 1302927800 1628659750 2084684480 2605855600 3257319500 4169368960 5211711200 6514639000 10423422400 13029278000 20846844800 26058556000 52117112000 104234224000