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42233043330 = 23354722914533
BaseRepresentation
bin100111010101010010…
…010001100110000010
311001000021220220002000
4213111102101212002
51142443124341310
631222424404430
73023400642132
oct472522214602
9131007826060
1042233043330
1116a024a75a5
128227916716
133ca08b318a
142088daaac2
151172a7e4c0
hex9d5491982

42233043330 has 128 divisors (see below), whose sum is σ = 115527859200. Its totient is φ = 10973636352.

The previous prime is 42233043319. The next prime is 42233043343. The reversal of 42233043330 is 3334033224.

42233043330 is a `hidden beast` number, since 4 + 2 + 23 + 304 + 3 + 330 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 42233043294 and 42233043303.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2898744 + ... + 2913276.

It is an arithmetic number, because the mean of its divisors is an integer number (902561400).

Almost surely, 242233043330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42233043330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57763929600).

42233043330 is an abundant number, since it is smaller than the sum of its proper divisors (73294815870).

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

42233043330 is a wasteful number, since it uses less digits than its factorization.

42233043330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14825 (or 14819 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 27.

Adding to 42233043330 its reverse (3334033224), we get a palindrome (45567076554).

The spelling of 42233043330 in words is "forty-two billion, two hundred thirty-three million, forty-three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 47 54 90 94 135 141 229 235 270 282 423 458 470 687 705 846 1145 1269 1374 1410 2061 2115 2290 2538 3435 4122 4230 6183 6345 6870 10305 10763 12366 12690 14533 20610 21526 29066 30915 32289 43599 53815 61830 64578 72665 87198 96867 107630 130797 145330 161445 193734 217995 261594 290601 322890 392391 435990 484335 581202 653985 683051 784782 968670 1307970 1366102 1453005 1961955 2049153 2906010 3328057 3415255 3923910 4098306 6147459 6656114 6830510 9984171 10245765 12294918 16640285 18442377 19968342 20491530 29952513 30737295 33280570 36884754 49920855 59905026 61474590 89857539 92211885 99841710 149762565 156418679 179715078 184423770 299525130 312837358 449287695 469256037 782093395 898575390 938512074 1407768111 1564186790 2346280185 2815536222 4223304333 4692560370 7038840555 8446608666 14077681110 21116521665 42233043330