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432442243040 = 2558213292039
BaseRepresentation
bin1100100101011111001…
…00001111011111100000
31112100012122101001222212
412102233210033133200
524041120203234130
6530354454021252
743146215262653
oct6225744173740
91470178331885
10432442243040
11157441410805
126b988047828
1331a1898c862
1416d04b0589a
15b3aeb3ee95
hex64af90f7e0

432442243040 has 48 divisors (see below), whose sum is σ = 1022889500640. Its totient is φ = 172766154240.

The previous prime is 432442243033. The next prime is 432442243061. The reversal of 432442243040 is 40342244234.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 432442242988 and 432442243006.

It is a congruent number.

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, 1514660 + ... + 1777379.

It is an arithmetic number, because the mean of its divisors is an integer number (21310197930).

Almost surely, 2432442243040 is an apocalyptic number.

432442243040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

432442243040 is an abundant number, since it is smaller than the sum of its proper divisors (590447257600).

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

432442243040 is a wasteful number, since it uses less digits than its factorization.

432442243040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3292875 (or 3292867 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 32.

Adding to 432442243040 its reverse (40342244234), we get a palindrome (472784487274).

The spelling of 432442243040 in words is "four hundred thirty-two billion, four hundred forty-two million, two hundred forty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 821 1642 3284 4105 6568 8210 13136 16420 26272 32840 65680 131360 3292039 6584078 13168156 16460195 26336312 32920390 52672624 65840780 105345248 131681560 263363120 526726240 2702764019 5405528038 10811056076 13513820095 21622112152 27027640190 43244224304 54055280380 86488448608 108110560760 216221121520 432442243040