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43410230424040 = 23517372402111597
BaseRepresentation
bin10011101111011001110110…
…10111010011000111101000
312200200222101121010001020111
421313230323113103013220
521142213122442032130
6232154215021304104
712100166656264024
oct1167547327230750
9180628347101214
1043410230424040
11129171a2410147
124a5123a405034
131b2b74b0a043c
14aa10d0159384
155042ee08102a
hex277b3b5d31e8

43410230424040 has 192 divisors, whose sum is σ = 106324728557040. Its totient is φ = 15895655792640.

The previous prime is 43410230423983. The next prime is 43410230424073. The reversal of 43410230424040 is 4042403201434.

It can be written as a sum of positive squares in 24 ways, for example, as 9167439617284 + 34242790806756 = 3027778^2 + 5851734^2 .

It is a junction number, because it is equal to n+sod(n) for n = 43410230423993 and 43410230424011.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3743223522 + ... + 3743235118.

Almost surely, 243410230424040 is an apocalyptic number.

43410230424040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43410230424040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53162364278520).

43410230424040 is an abundant number, since it is smaller than the sum of its proper divisors (62914498133000).

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

43410230424040 is a wasteful number, since it uses less digits than its factorization.

43410230424040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15720 (or 15679 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 31.

Adding to 43410230424040 its reverse (4042403201434), we get a palindrome (47452633625474).

The spelling of 43410230424040 in words is "forty-three trillion, four hundred ten billion, two hundred thirty million, four hundred twenty-four thousand, forty".