Search a number
-
+
144100205304 = 23311627187041
BaseRepresentation
bin1000011000110100001…
…0101010001011111000
3111202221120221220000220
42012031002222023320
54330104123032204
6150110531300040
713260636351426
oct2061502521370
9452846856026
10144100205304
115612689a070
1223b16a4a620
1310786199793
146d8ddc8116
153b35b8c1d9
hex218d0aa2f8

144100205304 has 64 divisors (see below), whose sum is σ = 393067745280. Its totient is φ = 43659264000.

The previous prime is 144100205303. The next prime is 144100205317. The reversal of 144100205304 is 403502001441.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144100205303) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1612024 + ... + 1699064.

It is an arithmetic number, because the mean of its divisors is an integer number (6141683520).

Almost surely, 2144100205304 is an apocalyptic number.

It is an amenable number.

144100205304 is an abundant number, since it is smaller than the sum of its proper divisors (248967539976).

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

144100205304 is a wasteful number, since it uses less digits than its factorization.

144100205304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93332 (or 93328 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 144100205304 its reverse (403502001441), we get a palindrome (547602206745).

The spelling of 144100205304 in words is "one hundred forty-four billion, one hundred million, two hundred five thousand, three hundred four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 6271 12542 18813 25084 37626 50168 68981 75252 87041 137962 150504 174082 206943 261123 275924 348164 413886 522246 551848 696328 827772 957451 1044492 1655544 1914902 2088984 2872353 3829804 5744706 7659608 11489412 22978824 545834111 1091668222 1637502333 2183336444 3275004666 4366672888 6004175221 6550009332 12008350442 13100018664 18012525663 24016700884 36025051326 48033401768 72050102652 144100205304