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384021820040 = 23526249365749
BaseRepresentation
bin1011001011010010111…
…10111111001010001000
31100201020010210201122212
411211221132333022020
522242434041220130
6452230040204252
736513263416655
oct5455136771210
91321203721585
10384021820040
111389543402a1
1262514169688
132a2a0254aa1
14148300b0c2c
159ec8cb2e95
hex59697bf288

384021820040 has 32 divisors (see below), whose sum is σ = 864084375000. Its totient is φ = 153602456064.

The previous prime is 384021820037. The next prime is 384021820069. The reversal of 384021820040 is 40028120483.

It can be written as a sum of positive squares in 4 ways, for example, as 322212899044 + 61808920996 = 567638^2 + 248614^2 .

It is a junction number, because it is equal to n+sod(n) for n = 384021819979 and 384021820006.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 867086 + ... + 1232834.

Almost surely, 2384021820040 is an apocalyptic number.

It is an amenable number.

384021820040 is an abundant number, since it is smaller than the sum of its proper divisors (480062554960).

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

384021820040 is a wasteful number, since it uses less digits than its factorization.

384021820040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392009 (or 392005 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The spelling of 384021820040 in words is "three hundred eighty-four billion, twenty-one million, eight hundred twenty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 26249 52498 104996 131245 209992 262490 365749 524980 731498 1049960 1462996 1828745 2925992 3657490 7314980 14629960 9600545501 19201091002 38402182004 48002727505 76804364008 96005455010 192010910020 384021820040