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443234223140 = 225235931352177
BaseRepresentation
bin1100111001100101101…
…00011000010000100100
31120101001202101110120112
412130302310120100210
524230220430120030
6535341411352152
744010520506542
oct6346264302044
91511052343515
10443234223140
11160a7a189125
1271a9a2b2658
1332a487826b7
141764a106d92
15b7e22dda95
hex6732d18424

443234223140 has 96 divisors (see below), whose sum is σ = 990897788160. Its totient is φ = 166175133696.

The previous prime is 443234223109. The next prime is 443234223167. The reversal of 443234223140 is 41322432344.

It is a super-2 number, since 2×4432342231402 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 443234223097 and 443234223106.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8468732 + ... + 8520908.

It is an arithmetic number, because the mean of its divisors is an integer number (10321851960).

Almost surely, 2443234223140 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 443234223140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495448894080).

443234223140 is an abundant number, since it is smaller than the sum of its proper divisors (547663565020).

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

443234223140 is a wasteful number, since it uses less digits than its factorization.

443234223140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52581 (or 52579 counting only the distinct ones).

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

Adding to 443234223140 its reverse (41322432344), we get a palindrome (484556655484).

The spelling of 443234223140 in words is "four hundred forty-three billion, two hundred thirty-four million, two hundred twenty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 23 46 59 92 115 118 230 236 295 313 460 590 626 1180 1252 1357 1565 2714 3130 5428 6260 6785 7199 13570 14398 18467 27140 28796 35995 36934 52177 71990 73868 92335 104354 143980 184670 208708 260885 369340 424741 521770 849482 1043540 1200071 1698964 2123705 2400142 3078443 4247410 4800284 6000355 6156886 8494820 12000710 12313772 15392215 16331401 24001420 30784430 32662802 61568860 65325604 70804189 81657005 141608378 163314010 283216756 326628020 354020945 375622223 708041890 751244446 963552659 1416083780 1502488892 1878111115 1927105318 3756222230 3854210636 4817763295 7512444460 9635526590 19271053180 22161711157 44323422314 88646844628 110808555785 221617111570 443234223140