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423314213311000 = 235311161923769679
BaseRepresentation
bin110000001000000001000010…
…1010100000001001000011000
32001111211102222100202221020201
41200100002011110001020120
5420441040002101423000
64100151510454231544
7155110304554206334
oct14020020524011030
92044742870687221
10423314213311000
111129766056a9620
123b5891696555b4
1315228488a3707b
1476767354627c4
1533e1592ad396a
hex1810085501218

423314213311000 has 128 divisors (see below), whose sum is σ = 1081273235328000. Its totient is φ = 153837356016000.

The previous prime is 423314213310929. The next prime is 423314213311001. The reversal of 423314213311000 is 113312413324.

It is a super-2 number, since 2×4233142133110002 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 423314213311000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (423314213311001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5924161 + ... + 29693839.

It is an arithmetic number, because the mean of its divisors is an integer number (8447447151000).

Almost surely, 2423314213311000 is an apocalyptic number.

423314213311000 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 423314213311000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540636617664000).

423314213311000 is an abundant number, since it is smaller than the sum of its proper divisors (657959022017000).

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

423314213311000 is a wasteful number, since it uses less digits than its factorization.

423314213311000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23771330 (or 23771316 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 423314213311000 its reverse (113312413324), we get a palindrome (423427525724324).

The spelling of 423314213311000 in words is "four hundred twenty-three trillion, three hundred fourteen billion, two hundred thirteen million, three hundred eleven thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1100 1375 1619 2200 2750 3238 5500 6476 8095 11000 12952 16190 17809 32380 35618 40475 64760 71236 80950 89045 142472 161900 178090 202375 323800 356180 404750 445225 712360 809500 890450 1619000 1780900 2226125 3561800 4452250 8904500 17809000 23769679 47539358 95078716 118848395 190157432 237696790 261466469 475393580 522932938 594241975 950787160 1045865876 1188483950 1307332345 2091731752 2376967900 2614664690 2971209875 4753935800 5229329380 5942419750 6536661725 10458658760 11884839500 13073323450 23769679000 26146646900 32683308625 38483110301 52293293800 65366617250 76966220602 130733234500 153932441204 192415551505 261466469000 307864882408 384831103010 423314213311 769662206020 846628426622 962077757525 1539324412040 1693256853244 1924155515050 2116571066555 3386513706488 3848311030100 4233142133110 4810388787625 7696622060200 8466284266220 9620777575250 10582855332775 16932568532440 19241555150500 21165710665550 38483110301000 42331421331100 52914276663875 84662842662200 105828553327750 211657106655500 423314213311000