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42233410230440 = 235111319277326459
BaseRepresentation
bin10011001101001001110110…
…11010100001100010101000
312112112110210222022002212012
421212210323122201202220
521013423011004333230
6225453432200335052
711616156163551332
oct1146447332414250
9175473728262765
1042233410230440
11125030a8063750
1248a114b774488
131a74793bab610
14a60172366452
154d38c4371395
hex26693b6a18a8

42233410230440 has 384 divisors, whose sum is σ = 117979776028800. Its totient is φ = 13412250224640.

The previous prime is 42233410230409. The next prime is 42233410230527. The reversal of 42233410230440 is 4403201433224.

It is a junction number, because it is equal to n+sod(n) for n = 42233410230397 and 42233410230406.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1596169931 + ... + 1596196389.

It is an arithmetic number, because the mean of its divisors is an integer number (307239000075).

Almost surely, 242233410230440 is an apocalyptic number.

42233410230440 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 42233410230440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58989888014400).

42233410230440 is an abundant number, since it is smaller than the sum of its proper divisors (75746365798360).

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

42233410230440 is a wasteful number, since it uses less digits than its factorization.

42233410230440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27305 (or 27282 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 42233410230440 its reverse (4403201433224), we get a palindrome (46636611663664).

The spelling of 42233410230440 in words is "forty-two trillion, two hundred thirty-three billion, four hundred ten million, two hundred thirty thousand, four hundred forty".