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243211031040 = 293537983557
BaseRepresentation
bin1110001010000010000…
…0011101001000000000
3212020202210110111111110
43202200200131020000
512441044010443130
6303421332243320
723366665440225
oct3424040351000
9766683414443
10243211031040
11941663173aa
123b176a70540
1319c1c7031b3
14bab2d0994c
1564d6cd7ab0
hex38a081d200

243211031040 has 160 divisors (see below), whose sum is σ = 779576086080. Its totient is φ = 64684376064.

The previous prime is 243211031023. The next prime is 243211031053. The reversal of 243211031040 is 40130112342.

It is a tau number, because it is divible by the number of its divisors (160).

It is a junction number, because it is equal to n+sod(n) for n = 243211030998 and 243211031016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2868942 + ... + 2952498.

It is an arithmetic number, because the mean of its divisors is an integer number (4872350538).

Almost surely, 2243211031040 is an apocalyptic number.

243211031040 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 243211031040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389788043040).

243211031040 is an abundant number, since it is smaller than the sum of its proper divisors (536365055040).

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

243211031040 is an equidigital number, since it uses as much as digits as its factorization.

243211031040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83962 (or 83946 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 243211031040 its reverse (40130112342), we get a palindrome (283341143382).

The spelling of 243211031040 in words is "two hundred forty-three billion, two hundred eleven million, thirty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 379 384 480 512 640 758 768 960 1137 1280 1516 1536 1895 1920 2274 2560 3032 3790 3840 4548 5685 6064 7580 7680 9096 11370 12128 15160 18192 22740 24256 30320 36384 45480 48512 60640 72768 83557 90960 97024 121280 145536 167114 181920 194048 242560 250671 291072 334228 363840 417785 485120 501342 582144 668456 727680 835570 970240 1002684 1253355 1336912 1455360 1671140 2005368 2506710 2673824 2910720 3342280 4010736 5013420 5347648 6684560 8021472 10026840 10695296 13369120 16042944 20053680 21390592 26738240 31668103 32085888 40107360 42781184 53476480 63336206 64171776 80214720 95004309 106952960 126672412 128343552 158340515 160429440 190008618 213905920 253344824 316681030 320858880 380017236 475021545 506689648 633362060 641717760 760034472 950043090 1013379296 1266724120 1520068944 1900086180 2026758592 2533448240 3040137888 3800172360 4053517184 5066896480 6080275776 7600344720 8107034368 10133792960 12160551552 15200689440 16214068736 20267585920 24321103104 30401378880 40535171840 48642206208 60802757760 81070343680 121605515520 243211031040