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411224420043140 = 225115948716504083
BaseRepresentation
bin101110110000000011010010…
…1011110101100100110000100
31222221000200002212211012111212
41131200012211132230212010
5412400000103012340030
64014333520210550552
7152421661324044014
oct13540064536544604
91887020085735455
10411224420043140
1110a03532a574640
123a15606a298458
131485c3b12c8832
1473795221dbc44
153281d56a70595
hex17601a57ac984

411224420043140 has 96 divisors (see below), whose sum is σ = 958242012779520. Its totient is φ = 146971440137600.

The previous prime is 411224420043037. The next prime is 411224420043187. The reversal of 411224420043140 is 41340024422114.

It is a super-3 number, since 3×4112244200431403 (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 411224420043097 and 411224420043106.

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, 59973539 + ... + 66477621.

It is an arithmetic number, because the mean of its divisors is an integer number (9981687633120).

Almost surely, 2411224420043140 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 411224420043140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479121006389760).

411224420043140 is an abundant number, since it is smaller than the sum of its proper divisors (547017592736380).

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

411224420043140 is a wasteful number, since it uses less digits than its factorization.

411224420043140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6509033 (or 6509031 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 411224420043140 its reverse (41340024422114), we get a palindrome (452564444465254).

The spelling of 411224420043140 in words is "four hundred eleven trillion, two hundred twenty-four billion, four hundred twenty million, forty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 59 110 118 220 236 295 590 649 1180 1298 2596 3245 4871 6490 9742 12980 19484 24355 48710 53581 97420 107162 214324 267905 287389 535810 574778 1071620 1149556 1436945 2873890 3161279 5747780 6322558 6504083 12645116 13008166 15806395 26016332 31612790 32520415 63225580 65040830 71544913 130081660 143089826 286179652 357724565 383740897 715449130 767481794 1430898260 1534963588 1918704485 3837408970 4221149867 7674817940 8442299734 16884599468 21105749335 31681388293 42211498670 63362776586 84422997340 126725553172 158406941465 316813882930 348495271223 633627765860 696990542446 1393981084892 1742476356115 1869201909287 3484952712230 3738403818574 6969905424460 7476807637148 9346009546435 18692019092870 20561221002157 37384038185740 41122442004314 82244884008628 102806105010785 205612210021570 411224420043140