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42104043430344 = 2332742334730517
BaseRepresentation
bin10011001001011000111001…
…00011010110000111001000
312112002002220011211202012200
421210230130203112013020
521004313040104232334
6225314155221040200
711603626306110000
oct1144543443260710
9175062804752180
1042104043430344
1112463251959025
124880066b56060
131a65518257cac
14a57bbd007000
154d0351dd7799
hex264b1c8d61c8

42104043430344 has 480 divisors, whose sum is σ = 139217642291520. Its totient is φ = 11473158622464.

The previous prime is 42104043430307. The next prime is 42104043430357. The reversal of 42104043430344 is 44303434040124.

42104043430344 is a `hidden beast` number, since 4 + 210 + 4 + 0 + 4 + 3 + 430 + 3 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 42104043430299 and 42104043430308.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1379676174 + ... + 1379706690.

It is an arithmetic number, because the mean of its divisors is an integer number (290036754774).

Almost surely, 242104043430344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42104043430344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69608821145760).

42104043430344 is an abundant number, since it is smaller than the sum of its proper divisors (97113598861176).

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

42104043430344 is a wasteful number, since it uses less digits than its factorization.

42104043430344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30927 (or 30899 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 42104043430344 its reverse (44303434040124), we get a palindrome (86407477470468).

The spelling of 42104043430344 in words is "forty-two trillion, one hundred four billion, forty-three million, four hundred thirty thousand, three hundred forty-four".