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412053402243340 = 22511213117111185049
BaseRepresentation
bin101110110110000101010100…
…0101010110101000100001100
32000000221220212002002021000201
41131230022220222311010030
5413002040331433241330
64020210415244303244
7152535606301350364
oct13554125052650414
92000856762067021
10412053402243340
1110a3249593a1300
123a26a862841b24
13148bc61380a2a0
1473a76c37499a4
1532986c4440eca
hex176c2a8ab510c

412053402243340 has 144 divisors (see below), whose sum is σ = 1025166742034400. Its totient is φ = 138193505049600.

The previous prime is 412053402243311. The next prime is 412053402243359. The reversal of 412053402243340 is 43342204350214.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 412053402243340.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31247136 + ... + 42432184.

It is an arithmetic number, because the mean of its divisors is an integer number (7119213486350).

Almost surely, 2412053402243340 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 412053402243340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512583371017200).

412053402243340 is an abundant number, since it is smaller than the sum of its proper divisors (613113339791060).

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

412053402243340 is a wasteful number, since it uses less digits than its factorization.

412053402243340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11186264 (or 11186251 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 37.

Adding to 412053402243340 its reverse (43342204350214), we get a palindrome (455395606593554).

The spelling of 412053402243340 in words is "four hundred twelve trillion, fifty-three billion, four hundred two million, two hundred forty-three thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 121 130 143 220 242 260 286 484 572 605 715 1171 1210 1430 1573 2342 2420 2860 3146 4684 5855 6292 7865 11710 12881 15223 15730 23420 25762 30446 31460 51524 60892 64405 76115 128810 141691 152230 167453 257620 283382 304460 334906 566764 669812 708455 837265 1416910 1674530 1841983 2833820 3349060 3683966 7367932 9209915 11185049 18419830 22370098 36839660 44740196 55925245 111850490 123035539 145405637 223700980 246071078 290811274 492142156 581622548 615177695 727028185 1230355390 1353390929 1454056370 1599462007 2460710780 2706781858 2908112740 3198924014 5413563716 6397848028 6766954645 7997310035 13097692379 13533909290 15994620070 17594082077 26195384758 27067818580 31989240140 35188164154 52390769516 65488461895 70376328308 87970410385 130976923790 144074616169 170270000927 175940820770 261953847580 288149232338 340540001854 351881641540 576298464676 681080003708 720373080845 851350004635 1440746161690 1584820777859 1702700009270 1872970010197 2881492323380 3169641555718 3405400018540 3745940020394 6339283111436 7491880040788 7924103889295 9364850050985 15848207778590 18729700101970 20602670112167 31696415557180 37459400203940 41205340224334 82410680448668 103013350560835 206026701121670 412053402243340