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141212432333214 = 2321137110591742971
BaseRepresentation
bin100000000110111010010100…
…110111011111100110011110
3200111222202222012120121121100
4200012322110313133212132
5122002111030134130324
61220200032411413530
741513155500054414
oct4006722467374636
9614882865517540
10141212432333214
1140aa3946719290
1213a07ab9a542a6
1360a43768b2498
1426c2a0aa132b4
15114d3d58964c9
hex806e94ddf99e

141212432333214 has 96 divisors (see below), whose sum is σ = 342826975370880. Its totient is φ = 41631326481600.

The previous prime is 141212432333179. The next prime is 141212432333233. The reversal of 141212432333214 is 412333234212141.

141212432333214 is a `hidden beast` number, since 1 + 4 + 1 + 2 + 1 + 2 + 4 + 323 + 3 + 321 + 4 = 666.

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, 80146749 + ... + 81889719.

It is an arithmetic number, because the mean of its divisors is an integer number (3571114326780).

Almost surely, 2141212432333214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141212432333214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171413487685440).

141212432333214 is an abundant number, since it is smaller than the sum of its proper divisors (201614543037666).

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

141212432333214 is a wasteful number, since it uses less digits than its factorization.

141212432333214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1754086 (or 1754083 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

Adding to 141212432333214 its reverse (412333234212141), we get a palindrome (553545666545355).

The spelling of 141212432333214 in words is "one hundred forty-one trillion, two hundred twelve billion, four hundred thirty-two million, three hundred thirty-three thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 37 66 74 99 111 198 222 333 407 666 814 1221 2442 3663 7326 11059 22118 33177 66354 99531 121649 199062 243298 364947 409183 729894 818366 1094841 1227549 1742971 2189682 2455098 3485942 3682647 4501013 5228913 7365294 9002026 10457826 13503039 15686739 19172681 27006078 31373478 38345362 40509117 57518043 64489927 81018234 115036086 128979854 172554129 193469781 345108258 386939562 580409343 709389197 1160818686 1418778394 2128167591 4256335182 6384502773 12769005546 19275516289 38551032578 57826548867 115653097734 173479646601 212030679179 346959293202 424061358358 636092037537 713194102693 1272184075074 1426388205386 1908276112611 2139582308079 3816552225222 4279164616158 6418746924237 7845135129623 12837493848474 15690270259246 23535405388869 47070810777738 70606216166607 141212432333214