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2141340203412 = 2232177352191997
BaseRepresentation
bin11111001010010001110…
…100100111100110010100
321120201011200101010011200
4133022101310213212110
5240040431043002122
64315415040032500
7310464256260654
oct37122164474624
97521150333150
102141340203412
117561567a1653
122a700a602730
13126c09999627
14758da0a6364
153aa7b6d15ac
hex1f291d27994

2141340203412 has 144 divisors (see below), whose sum is σ = 5820958542672. Its totient is φ = 661311406080.

The previous prime is 2141340203393. The next prime is 2141340203441. The reversal of 2141340203412 is 2143020431412.

2141340203412 is a `hidden beast` number, since 2 + 1 + 4 + 1 + 3 + 40 + 203 + 412 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 33140746116 + 2108199457296 = 182046^2 + 1451964^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23230198 + ... + 23322194.

It is an arithmetic number, because the mean of its divisors is an integer number (40423323213).

Almost surely, 22141340203412 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 2141340203412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2910479271336).

2141340203412 is an abundant number, since it is smaller than the sum of its proper divisors (3679618339260).

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

2141340203412 is a wasteful number, since it uses less digits than its factorization.

2141340203412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92618 (or 92613 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 2141340203412 its reverse (2143020431412), we get a palindrome (4284360634824).

The spelling of 2141340203412 in words is "two trillion, one hundred forty-one billion, three hundred forty million, two hundred three thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 73 102 146 153 204 219 292 306 438 521 612 657 876 1042 1241 1314 1563 2084 2482 2628 3126 3723 4689 4964 6252 7446 8857 9378 11169 14892 17714 18756 22338 26571 35428 38033 44676 53142 76066 79713 91997 106284 114099 152132 159426 183994 228198 275991 318852 342297 367988 456396 551982 646561 684594 827973 1103964 1293122 1369188 1563949 1655946 1939683 2586244 3127898 3311892 3879366 4691847 5819049 6255796 6715781 7758732 9383694 11638098 13431562 14075541 18767388 20147343 23276196 26863124 28151082 40294686 47930437 56302164 60442029 80589372 95860874 114168277 120884058 143791311 191721748 228336554 241768116 287582622 342504831 431373933 456673108 575165244 685009662 814817429 862747866 1027514493 1370019324 1629634858 1725495732 2055028986 2444452287 3259269716 3498921901 4110057972 4888904574 6997843802 7333356861 9777809148 10496765703 13995687604 14666713722 20993531406 29333427444 31490297109 41987062812 59481672317 62980594218 118963344634 125961188436 178445016951 237926689268 356890033902 535335050853 713780067804 1070670101706 2141340203412