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43120441040 = 2452918586397
BaseRepresentation
bin101000001010001011…
…011011011011010000
311010022010201100212212
4220022023123123100
51201302313103130
631450444411252
73054364462355
oct501213333320
9133263640785
1043120441040
1117318401636
128434b46b28
1340b26b6691
142130ba662c
1511c591be95
hexa0a2db6d0

43120441040 has 40 divisors (see below), whose sum is σ = 103712100840. Its totient is φ = 16653410816.

The previous prime is 43120441019. The next prime is 43120441073. The reversal of 43120441040 is 4014402134.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 760215184 + 42360225856 = 27572^2 + 205816^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 43120440997 and 43120441015.

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, 9290879 + ... + 9295518.

It is an arithmetic number, because the mean of its divisors is an integer number (2592802521).

Almost surely, 243120441040 is an apocalyptic number.

43120441040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

43120441040 is an abundant number, since it is smaller than the sum of its proper divisors (60591659800).

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

43120441040 is a wasteful number, since it uses less digits than its factorization.

43120441040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18586439 (or 18586433 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 43120441040 its reverse (4014402134), we get a palindrome (47134843174).

The spelling of 43120441040 in words is "forty-three billion, one hundred twenty million, four hundred forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 2320 18586397 37172794 74345588 92931985 148691176 185863970 297382352 371727940 539005513 743455880 1078011026 1486911760 2156022052 2695027565 4312044104 5390055130 8624088208 10780110260 21560220520 43120441040