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212340220014040 = 23541208463621097
BaseRepresentation
bin110000010001111101001111…
…011000101010110111011000
31000211211112020000200121010121
4300101331033120222313120
5210312440232310422130
62031335430031123024
762504034412615636
oct6021751730526730
91024745200617117
10212340220014040
1161726a88555278
121b994b5a073474
13916379b303831
143a61470224356
1519836ca614d7a
hexc11f4f62add8

212340220014040 has 64 divisors (see below), whose sum is σ = 489421447724160. Its totient is φ = 82863945185280.

The previous prime is 212340220013983. The next prime is 212340220014047. The reversal of 212340220014040 is 40410022043212.

It is a super-2 number, since 2×2123402200140402 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212340220013996 and 212340220014014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212340220014047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 341568772 + ... + 342189868.

It is an arithmetic number, because the mean of its divisors is an integer number (7647210120690).

Almost surely, 2212340220014040 is an apocalyptic number.

212340220014040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212340220014040 is an abundant number, since it is smaller than the sum of its proper divisors (277081227710120).

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

212340220014040 is a wasteful number, since it uses less digits than its factorization.

212340220014040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829612 (or 829608 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 212340220014040 its reverse (40410022043212), we get a palindrome (252750242057252).

The spelling of 212340220014040 in words is "two hundred twelve trillion, three hundred forty billion, two hundred twenty million, fourteen thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 328 410 820 1640 208463 416926 621097 833852 1042315 1242194 1667704 2084630 2484388 3105485 4169260 4968776 6210970 8338520 8546983 12421940 17093966 24843880 25464977 34187932 42734915 50929954 68375864 85469830 101859908 127324885 170939660 203719816 254649770 341879320 509299540 1018599080 129475743911 258951487822 517902975644 647378719555 1035805951288 1294757439110 2589514878220 5179029756440 5308505500351 10617011000702 21234022001404 26542527501755 42468044002808 53085055003510 106170110007020 212340220014040