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42434541440 = 27566303971
BaseRepresentation
bin100111100001010010…
…111011011110000000
311001112100002001111222
4213201102323132000
51143401220311230
631254423254212
73031365436154
oct474122733600
9131470061458
1042434541440
1116aa6213065
1282832aa368
134003573325
1420a7a5d064
1511855d26e5
hex9e14bb780

42434541440 has 32 divisors (see below), whose sum is σ = 101445077160. Its totient is φ = 16973816320.

The previous prime is 42434541439. The next prime is 42434541451. The reversal of 42434541440 is 4414543424.

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 42434541440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 33151346 + ... + 33152625.

Almost surely, 242434541440 is an apocalyptic number.

42434541440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42434541440 is an abundant number, since it is smaller than the sum of its proper divisors (59010535720).

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

42434541440 is an equidigital number, since it uses as much as digits as its factorization.

42434541440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66303990 (or 66303978 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 35.

The spelling of 42434541440 in words is "forty-two billion, four hundred thirty-four million, five hundred forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 66303971 132607942 265215884 331519855 530431768 663039710 1060863536 1326079420 2121727072 2652158840 4243454144 5304317680 8486908288 10608635360 21217270720 42434541440