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243011003240 = 235414317319919
BaseRepresentation
bin1110001001010010010…
…1011010001101101000
3212020020212002000221102
43202110211122031220
512440141304100430
6303345425100532
723362016305625
oct3422445321550
9766225060842
10243011003240
1194073415575
123b11ba87748
1319bba139355
14ba9451b34c
1564c4475345
hex389495a368

243011003240 has 128 divisors (see below), whose sum is σ = 576478425600. Its totient is φ = 92088084480.

The previous prime is 243011003231. The next prime is 243011003293. The reversal of 243011003240 is 42300110342.

It is a super-2 number, since 2×2430110032402 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 31 ways as a sum of consecutive naturals, for example, 12190001 + ... + 12209919.

It is an arithmetic number, because the mean of its divisors is an integer number (4503737700).

Almost surely, 2243011003240 is an apocalyptic number.

243011003240 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 243011003240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288239212800).

243011003240 is an abundant number, since it is smaller than the sum of its proper divisors (333467422360).

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

243011003240 is a wasteful number, since it uses less digits than its factorization.

243011003240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20187 (or 20183 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 243011003240 its reverse (42300110342), we get a palindrome (285311113582).

The spelling of 243011003240 in words is "two hundred forty-three billion, eleven million, three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 41 43 82 86 164 172 173 205 215 328 344 346 410 430 692 820 860 865 1384 1640 1720 1730 1763 3460 3526 6920 7052 7093 7439 8815 14104 14186 14878 17630 19919 28372 29756 35260 35465 37195 39838 56744 59512 70520 70930 74390 79676 99595 141860 148780 159352 199190 283720 297560 304999 398380 609998 796760 816679 856517 1219996 1524995 1633358 1713034 2439992 3049990 3266716 3426068 3445987 4083395 4282585 6099980 6533432 6852136 6891974 8166790 8565170 12199960 13783948 16333580 17130340 17229935 27567896 32667160 34260680 34459870 35117197 68919740 70234394 137839480 140468788 141285467 148177441 175585985 280937576 282570934 296354882 351171970 565141868 592709764 702343940 706427335 740887205 1130283736 1185419528 1404687880 1412854670 1481774410 2825709340 2963548820 5651418680 5927097640 6075275081 12150550162 24301100324 30376375405 48602200648 60752750810 121505501620 243011003240