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211040034241014 = 23411131904036267
BaseRepresentation
bin101111111111000010010110…
…010001100011100111110110
31000200020020012211202220020000
4233333002112101203213312
5210130134442231203024
62024502241525452130
762311065533113026
oct5777022621434766
91020206184686200
10211040034241014
1161275637588060
121b804b80571046
13909acb3893934
143a1856c11ba86
15195e980245cc9
hexbff0964639f6

211040034241014 has 80 divisors (see below), whose sum is σ = 519813621809856. Its totient is φ = 63463345873200.

The previous prime is 211040034240967. The next prime is 211040034241027. The reversal of 211040034241014 is 410142430040112.

211040034241014 is a `hidden beast` number, since 2 + 1 + 1 + 0 + 400 + 3 + 4 + 241 + 0 + 14 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 451784692 + ... + 452251575.

Almost surely, 2211040034241014 is an apocalyptic number.

211040034241014 is an abundant number, since it is smaller than the sum of its proper divisors (308773587568842).

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

211040034241014 is a wasteful number, since it uses less digits than its factorization.

211040034241014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 904036423 (or 904036414 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 211040034241014 its reverse (410142430040112), we get a palindrome (621182464281126).

The spelling of 211040034241014 in words is "two hundred eleven trillion, forty billion, thirty-four million, two hundred forty-one thousand, fourteen".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 131 162 198 262 297 393 594 786 891 1179 1441 1782 2358 2882 3537 4323 7074 8646 10611 12969 21222 25938 38907 77814 116721 233442 904036267 1808072534 2712108801 5424217602 8136326403 9944398937 16272652806 19888797874 24408979209 29833196811 48817958418 59666393622 73226937627 89499590433 118428750977 146453875254 178999180866 236857501954 268498771299 355286252931 536997542598 710572505862 805496313897 1065858758793 1302716260747 1610992627794 2131717517586 2605432521494 3197576276379 3908148782241 6395152552758 7816297564482 9592728829137 11724446346723 19185457658274 23448892693446 35173339040169 70346678080338 105520017120507 211040034241014