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4234313056446 = 23311411912713359
BaseRepresentation
bin111101100111100000101…
…110011100000010111110
3112222210111120001020222000
4331213200232130002332
51023333333120301241
613001114440003130
7614630140061424
oct75474056340276
915883446036860
104234313056446
111392842371a60
1258477aa604a6
132493a8c20cb5
14108d285d1114
1575226a1aeb6
hex3d9e0b9c0be

4234313056446 has 256 divisors, whose sum is σ = 10612585267200. Its totient is φ = 1240310880000.

The previous prime is 4234313056427. The next prime is 4234313056453. The reversal of 4234313056446 is 6446503134324.

It is a happy number.

4234313056446 is a `hidden beast` number, since 4 + 2 + 3 + 43 + 1 + 3 + 0 + 564 + 46 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1260585715 + ... + 1260589073.

It is an arithmetic number, because the mean of its divisors is an integer number (41455411200).

Almost surely, 24234313056446 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4234313056446, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5306292633600).

4234313056446 is an abundant number, since it is smaller than the sum of its proper divisors (6378272210754).

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

4234313056446 is a wasteful number, since it uses less digits than its factorization.

4234313056446 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3884 (or 3878 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 45.

The spelling of 4234313056446 in words is "four trillion, two hundred thirty-four billion, three hundred thirteen million, fifty-six thousand, four hundred forty-six".