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211443114443440 = 245112952115902857
BaseRepresentation
bin110000000100111001101111…
…101110100000001010110000
31000201122202122012021202121011
4300010321233232200022300
5210203240444244142230
62025411343101240304
762352155326235035
oct6004715756401260
91021582565252534
10211443114443440
116141058087a0a0
121b86b113263094
1390ca0003b7a59
143a2dc8940338c
15196a1c2276e2a
hexc04e6fba02b0

211443114443440 has 160 divisors (see below), whose sum is σ = 555854504016960. Its totient is φ = 74094586675200.

The previous prime is 211443114443401. The next prime is 211443114443453. The reversal of 211443114443440 is 44344411344112.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 211443114443393 and 211443114443402.

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, 5344492 + ... + 21247348.

It is an arithmetic number, because the mean of its divisors is an integer number (3474090650106).

Almost surely, 2211443114443440 is an apocalyptic number.

211443114443440 is a gapful number since it is divisible by the number (20) 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 211443114443440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277927252008480).

211443114443440 is an abundant number, since it is smaller than the sum of its proper divisors (344411389573520).

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

211443114443440 is a wasteful number, since it uses less digits than its factorization.

211443114443440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15903431 (or 15903425 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 40.

Adding to 211443114443440 its reverse (44344411344112), we get a palindrome (255787525787552).

The spelling of 211443114443440 in words is "two hundred eleven trillion, four hundred forty-three billion, one hundred fourteen million, four hundred forty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 29 40 44 55 58 80 88 110 116 145 176 220 232 290 319 440 464 521 580 638 880 1042 1160 1276 1595 2084 2320 2552 2605 3190 4168 5104 5210 5731 6380 8336 10420 11462 12760 15109 20840 22924 25520 28655 30218 41680 45848 57310 60436 75545 91696 114620 120872 151090 166199 229240 241744 302180 332398 458480 604360 664796 830995 1208720 1329592 1661990 2659184 3323980 6647960 13295920 15902857 31805714 63611428 79514285 127222856 159028570 174931427 254445712 318057140 349862854 461182853 636114280 699725708 874657135 922365706 1272228560 1399451416 1749314270 1844731412 2305914265 2798902832 3498628540 3689462824 4611828530 5073011383 6997257080 7378925648 8285388497 9223657060 10146022766 13994514160 16570776994 18447314120 20292045532 25365056915 33141553988 36894628240 40584091064 41426942485 50730113830 66283107976 81168182128 82853884970 91139273467 101460227660 132566215952 165707769940 182278546934 202920455320 240276266413 331415539880 364557093868 405840910640 455696367335 480552532826 662831079760 729114187736 911392734670 961105065652 1201381332065 1458228375472 1822785469340 1922210131304 2402762664130 2643038930543 3645570938680 3844420262608 4805525328260 5286077861086 7291141877360 9611050656520 10572155722172 13215194652715 19222101313040 21144311444344 26430389305430 42288622888688 52860778610860 105721557221720 211443114443440