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4240536350424 = 23311374197109159
BaseRepresentation
bin111101101101010011101…
…010011010111011011000
3120000101120021021100101120
4331231103222122323120
51023434104301203144
613004024150445240
7615240305152563
oct75552352327330
916011507240346
104240536350424
111395446245920
12585a17063820
13249b5b33b87a
14109358d274da
157548d05ee19
hex3db53a9aed8

4240536350424 has 256 divisors, whose sum is σ = 12292918041600. Its totient is φ = 1207200153600.

The previous prime is 4240536350399. The next prime is 4240536350429.

It is a happy number.

4240536350424 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4240536350429) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38792757 + ... + 38901915.

It is an arithmetic number, because the mean of its divisors is an integer number (48019211100).

Almost surely, 24240536350424 is an apocalyptic number.

4240536350424 is a gapful number since it is divisible by the number (44) 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 4240536350424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6146459020800).

4240536350424 is an abundant number, since it is smaller than the sum of its proper divisors (8052381691176).

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

4240536350424 is a wasteful number, since it uses less digits than its factorization.

4240536350424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109354 (or 109350 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 42.

The spelling of 4240536350424 in words is "four trillion, two hundred forty billion, five hundred thirty-six million, three hundred fifty thousand, four hundred twenty-four".