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243444004440 = 233571322293407
BaseRepresentation
bin1110001010111001100…
…1001011011001011000
3212021101000211202220220
43202232121023121120
512442033131120230
6303500413520040
723405524616040
oct3425631133130
9767330752826
10243444004440
11942758807aa
123b220aa3020
1319c58a63990
14bad5c32720
1564ec4a6d10
hex38ae64b658

243444004440 has 128 divisors (see below), whose sum is σ = 898870210560. Its totient is φ = 51364007424.

The previous prime is 243444004439. The next prime is 243444004481. The reversal of 243444004440 is 44400444342.

243444004440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 11135784 + ... + 11157623.

It is an arithmetic number, because the mean of its divisors is an integer number (7022423520).

Almost surely, 2243444004440 is an apocalyptic number.

243444004440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

243444004440 is an abundant number, since it is smaller than the sum of its proper divisors (655426206120).

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

243444004440 is a wasteful number, since it uses less digits than its factorization.

243444004440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22293441 (or 22293437 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 33.

Adding to 243444004440 its reverse (44400444342), we get a palindrome (287844448782).

The spelling of 243444004440 in words is "two hundred forty-three billion, four hundred forty-four million, four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 13 14 15 20 21 24 26 28 30 35 39 40 42 52 56 60 65 70 78 84 91 104 105 120 130 140 156 168 182 195 210 260 273 280 312 364 390 420 455 520 546 728 780 840 910 1092 1365 1560 1820 2184 2730 3640 5460 10920 22293407 44586814 66880221 89173628 111467035 133760442 156053849 178347256 222934070 267520884 289814291 312107698 334401105 445868140 468161547 535041768 579628582 624215396 668802210 780269245 869442873 891736280 936323094 1159257164 1248430792 1337604420 1449071455 1560538490 1738885746 1872646188 2028700037 2318514328 2340807735 2675208840 2898142910 3121076980 3477771492 3745292376 4057400074 4347214365 4681615470 5796285820 6086100111 6242153960 6955542984 8114800148 8694428730 9363230940 10143500185 11592571640 12172200222 16229600296 17388857460 18726461880 20287000370 24344400444 30430500555 34777714920 40574000740 48688800888 60861001110 81148001480 121722002220 243444004440