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243420323040 = 2533556347297
BaseRepresentation
bin1110001010110011111…
…0110101110011100000
3212021022101021122011000
43202230332311303200
512442011100314130
6303454210152000
723405116415046
oct3425476656340
9767271248130
10243420323040
11942634765a4
123b214b82600
1319c53b91a0b
14bad2a2a396
1564ea37a260
hex38acfb5ce0

243420323040 has 96 divisors (see below), whose sum is σ = 851971145760. Its totient is φ = 64912084992.

The previous prime is 243420323011. The next prime is 243420323077. The reversal of 243420323040 is 40323024342.

243420323040 is a `hidden beast` number, since 2 + 4 + 3 + 420 + 3 + 230 + 4 + 0 = 666.

243420323040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 243420322995 and 243420323013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28169329 + ... + 28177968.

It is an arithmetic number, because the mean of its divisors is an integer number (8874699435).

Almost surely, 2243420323040 is an apocalyptic number.

243420323040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

243420323040 is an abundant number, since it is smaller than the sum of its proper divisors (608550822720).

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

243420323040 is a wasteful number, since it uses less digits than its factorization.

243420323040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56347321 (or 56347307 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 243420323040 its reverse (40323024342), we get a palindrome (283743347382).

The spelling of 243420323040 in words is "two hundred forty-three billion, four hundred twenty million, three hundred twenty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 56347297 112694594 169041891 225389188 281736485 338083782 450778376 507125673 563472970 676167564 845209455 901556752 1014251346 1126945940 1352335128 1521377019 1690418910 1803113504 2028502692 2253891880 2535628365 2704670256 3042754038 3380837820 4057005384 4507783760 5071256730 5409340512 6085508076 6761675640 7606885095 8114010768 9015567520 10142513460 12171016152 13523351280 15213770190 16228021536 20285026920 24342032304 27046702560 30427540380 40570053840 48684064608 60855080760 81140107680 121710161520 243420323040