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423300144040992 = 25321519733722959
BaseRepresentation
bin110000000111111010011111…
…0101110000000110000100000
32001111210002122211221222002100
41200033310332232000300200
5420440322143333302432
64100141222425050400
7155106266115324411
oct14017647656006040
92044702584858070
10423300144040992
11112970645998849
123b5864a1926a00
1315227055c83a2a
147675b9cab7808
1533e101c86b07c
hex180fd3eb80c20

423300144040992 has 72 divisors (see below), whose sum is σ = 1211731703844480. Its totient is φ = 140165610595200.

The previous prime is 423300144040987. The next prime is 423300144040993. The reversal of 423300144040992 is 299040441003324.

423300144040992 is a `hidden beast` number, since 4 + 233 + 0 + 0 + 1 + 4 + 4 + 0 + 409 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (423300144040993) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4866817992 + ... + 4866904967.

It is an arithmetic number, because the mean of its divisors is an integer number (16829606997840).

Almost surely, 2423300144040992 is an apocalyptic number.

It is an amenable number.

423300144040992 is an abundant number, since it is smaller than the sum of its proper divisors (788431559803488).

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

423300144040992 is a wasteful number, since it uses less digits than its factorization.

423300144040992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9733723126 (or 9733723115 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 423300144040992 in words is "four hundred twenty-three trillion, three hundred billion, one hundred forty-four million, forty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 151 288 302 453 604 906 1208 1359 1812 2416 2718 3624 4832 5436 7248 10872 14496 21744 43488 9733722959 19467445918 29201168877 38934891836 58402337754 77869783672 87603506631 116804675508 155739567344 175207013262 233609351016 311479134688 350414026524 467218702032 700828053048 934437404064 1401656106096 1469792166809 2803312212192 2939584333618 4409376500427 5879168667236 8818753000854 11758337334472 13228129501281 17637506001708 23516674668944 26456259002562 35275012003416 47033349337888 52912518005124 70550024006832 105825036010248 141100048013664 211650072020496 423300144040992