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211412144140110 = 232517634321784309
BaseRepresentation
bin110000000100011100111001…
…110000001010111101001110
31000201112210200211012100021200
4300010130321300022331032
5210202234032344440420
62025345222004210330
762350011005061354
oct6004347160127516
91021483624170250
10211412144140110
11613a9428955891
121b86510b3999a6
1390c7105cb2694
143a2c58c17b7d4
1519694ad385b90
hexc04739c0af4e

211412144140110 has 96 divisors (see below), whose sum is σ = 582096979039680. Its totient is φ = 53051935233024.

The previous prime is 211412144140063. The next prime is 211412144140111. The reversal of 211412144140110 is 11041441214112.

It is a happy number.

211412144140110 is a `hidden beast` number, since 2 + 1 + 1 + 4 + 1 + 214 + 41 + 401 + 1 + 0 = 666.

It is a super-2 number, since 2×2114121441401102 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211412144140111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1187365 + ... + 20596944.

It is an arithmetic number, because the mean of its divisors is an integer number (6063510198330).

Almost surely, 2211412144140110 is an apocalyptic number.

211412144140110 is an abundant number, since it is smaller than the sum of its proper divisors (370684834899570).

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

211412144140110 is a wasteful number, since it uses less digits than its factorization.

211412144140110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21790682 (or 21790679 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

Adding to 211412144140110 its reverse (11041441214112), we get a palindrome (222453585354222).

The spelling of 211412144140110 in words is "two hundred eleven trillion, four hundred twelve billion, one hundred forty-four million, one hundred forty thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 510 765 1530 6343 12686 19029 31715 38058 57087 63430 95145 107831 114174 190290 215662 285435 323493 539155 570870 646986 970479 1078310 1617465 1940958 3234930 4852395 9704790 21784309 43568618 65352927 108921545 130705854 196058781 217843090 326764635 370333253 392117562 653529270 740666506 980293905 1110999759 1851666265 1960587810 2221999518 3332999277 3703332530 5554998795 6665998554 11109997590 16664996385 33329992770 138177871987 276355743974 414533615961 690889359935 829067231922 1243600847883 1381778719870 2072668079805 2349023823779 2487201695766 4145336159610 4698047647558 6218004239415 7047071471337 11745119118895 12436008478830 14094142942674 21141214414011 23490238237790 35235357356685 42282428828022 70470714713370 105706072070055 211412144140110