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43345342040 = 235711133147743
BaseRepresentation
bin101000010111100101…
…010110111001011000
311010212210220112001112
4220113211112321120
51202232401421130
631525041035452
73063065220410
oct502745267130
9133783815045
1043345342040
1117423352030
128498325b88
13411a17bab0
1421529cb640
1511da544495
hexa17956e58

43345342040 has 512 divisors, whose sum is σ = 138231152640. Its totient is φ = 11796019200.

The previous prime is 43345341959. The next prime is 43345342081. The reversal of 43345342040 is 4024354334.

43345342040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 43345341988 and 43345342006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 58337909 + ... + 58338651.

It is an arithmetic number, because the mean of its divisors is an integer number (269982720).

Almost surely, 243345342040 is an apocalyptic number.

43345342040 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 43345342040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69115576320).

43345342040 is an abundant number, since it is smaller than the sum of its proper divisors (94885810600).

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

43345342040 is a wasteful number, since it uses less digits than its factorization.

43345342040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 863 (or 859 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 32.

Adding to 43345342040 its reverse (4024354334), we get a palindrome (47369696374).

The spelling of 43345342040 in words is "forty-three billion, three hundred forty-five million, three hundred forty-two thousand, forty".