Search a number
-
+
244143330100 = 22526779461257
BaseRepresentation
bin1110001101100000010…
…0111001001100110100
3212100011202202012101021
43203120010321030310
513000001143030400
6304054034510524
723432046031255
oct3433004711464
9770152665337
10244143330100
11945a45aa49a
123b397135444
131a03a8c8147
14bb60a72b2c
15653da9471a
hex38d8139334

244143330100 has 72 divisors (see below), whose sum is σ = 544505843840. Its totient is φ = 94981835520.

The previous prime is 244143330077. The next prime is 244143330113. The reversal of 244143330100 is 1033341442.

244143330100 is digitally balanced in base 3, 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 (25).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 298672 + ... + 759928.

Almost surely, 2244143330100 is an apocalyptic number.

244143330100 is a gapful number since it is divisible by the number (20) 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 244143330100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272252921920).

244143330100 is an abundant number, since it is smaller than the sum of its proper divisors (300362513740).

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

244143330100 is a wasteful number, since it uses less digits than its factorization.

244143330100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461417 (or 461410 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 244143330100 its reverse (1033341442), we get a palindrome (245176671542).

The spelling of 244143330100 in words is "two hundred forty-four billion, one hundred forty-three million, three hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 67 79 100 134 158 268 316 335 395 670 790 1340 1580 1675 1975 3350 3950 5293 6700 7900 10586 21172 26465 52930 105860 132325 264650 461257 529300 922514 1845028 2306285 4612570 9225140 11531425 23062850 30904219 36439303 46125700 61808438 72878606 123616876 145757212 154521095 182196515 309042190 364393030 618084380 728786060 772605475 910982575 1545210950 1821965150 2441433301 3090421900 3643930300 4882866602 9765733204 12207166505 24414333010 48828666020 61035832525 122071665050 244143330100