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4223041004340 = 22325137659925951
BaseRepresentation
bin111101011101000000110…
…110111110001100110100
3112221201101222200200101200
4331131000312332030310
51023142241444114330
612552012132452500
7614050615156644
oct75350066761464
915851358620350
104223041004340
111388a88609414
12582553a7a130
13248300832792
14108579544524
1574cb713da60
hex3d740dbe334

4223041004340 has 144 divisors (see below), whose sum is σ = 12905846553600. Its totient is φ = 1117711756800.

The previous prime is 4223041004321. The next prime is 4223041004341. The reversal of 4223041004340 is 434001403224.

It is a happy number.

4223041004340 is a `hidden beast` number, since 4 + 2 + 2 + 304 + 10 + 0 + 4 + 340 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4223041004341) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 162718365 + ... + 162744315.

It is an arithmetic number, because the mean of its divisors is an integer number (89623934400).

Almost surely, 24223041004340 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 4223041004340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6452923276800).

4223041004340 is an abundant number, since it is smaller than the sum of its proper divisors (8682805549260).

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

4223041004340 is a wasteful number, since it uses less digits than its factorization.

4223041004340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32702 (or 32697 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 4223041004340 its reverse (434001403224), we get a palindrome (4657042407564).

The spelling of 4223041004340 in words is "four trillion, two hundred twenty-three billion, forty-one million, four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 137 180 274 411 548 685 822 1233 1370 1644 2055 2466 2740 4110 4932 6165 6599 8220 12330 13198 19797 24660 25951 26396 32995 39594 51902 59391 65990 77853 79188 98985 103804 118782 129755 131980 155706 197970 233559 237564 259510 296955 311412 389265 395940 467118 519020 593910 778530 904063 934236 1167795 1187820 1557060 1808126 2335590 2712189 3555287 3616252 4520315 4671180 5424378 7110574 8136567 9040630 10665861 10848756 13560945 14221148 16273134 17776435 18081260 21331722 27121890 31997583 32546268 35552870 40682835 42663444 53329305 54243780 63995166 71105740 81365670 106658610 127990332 159987915 162731340 171250649 213317220 319975830 342501298 513751947 639951660 685002596 856253245 1027503894 1541255841 1712506490 2055007788 2568759735 3082511682 3425012980 5137519470 6165023364 7706279205 10275038940 15412558410 23461338913 30825116820 46922677826 70384016739 93845355652 117306694565 140768033478 211152050217 234613389130 281536066956 351920083695 422304100434 469226778260 703840167390 844608200868 1055760251085 1407680334780 2111520502170 4223041004340