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244530414300 = 223527917957641
BaseRepresentation
bin1110001110111100100…
…1100000001011011100
3212101011202010010002010
43203233021200023130
513001244241224200
6304200303231220
723444456140524
oct3435711401334
9771152103063
10244530414300
1194783053597
123b4848a8510
131a09cb66953
14bb9a234684
156562a56150
hex38ef2602dc

244530414300 has 144 divisors (see below), whose sum is σ = 720478886400. Its totient is φ = 64021900800.

The previous prime is 244530414299. The next prime is 244530414367. The reversal of 244530414300 is 3414035442.

244530414300 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 (30).

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 47 ways as a sum of consecutive naturals, for example, 4213480 + ... + 4271120.

It is an arithmetic number, because the mean of its divisors is an integer number (5003325600).

Almost surely, 2244530414300 is an apocalyptic number.

244530414300 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 244530414300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360239443200).

244530414300 is an abundant number, since it is smaller than the sum of its proper divisors (475948472100).

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

244530414300 is a wasteful number, since it uses less digits than its factorization.

244530414300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57916 (or 57909 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 244530414300 its reverse (3414035442), we get a palindrome (247944449742).

The spelling of 244530414300 in words is "two hundred forty-four billion, five hundred thirty million, four hundred fourteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 79 100 150 158 179 237 300 316 358 395 474 537 716 790 895 948 1074 1185 1580 1790 1975 2148 2370 2685 3580 3950 4475 4740 5370 5925 7900 8950 10740 11850 13425 14141 17900 23700 26850 28282 42423 53700 56564 57641 70705 84846 115282 141410 169692 172923 212115 230564 282820 288205 345846 353525 424230 576410 691692 707050 848460 864615 1060575 1152820 1414100 1441025 1729230 2121150 2882050 3458460 4242300 4323075 4553639 5764100 8646150 9107278 10317739 13660917 17292300 18214556 20635478 22768195 27321834 30953217 41270956 45536390 51588695 54643668 61906434 68304585 91072780 103177390 113840975 123812868 136609170 154766085 206354780 227681950 257943475 273218340 309532170 341522925 455363900 515886950 619064340 683045850 773830425 815101381 1031773900 1366091700 1547660850 1630202762 2445304143 3095321700 3260405524 4075506905 4890608286 8151013810 9781216572 12226520715 16302027620 20377534525 24453041430 40755069050 48906082860 61132603575 81510138100 122265207150 244530414300