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4214299871376 = 243272244392
BaseRepresentation
bin111101010100110111110…
…110001100100010010000
3112220212211210201010012100
4331110313312030202100
51023021341231341001
612544004520000400
7613321164601200
oct75246766144220
915825753633170
104214299871376
111385302457891
12580914600100
132475398aab5a
14107d8a676400
1574954a48586
hex3d537d8c890

4214299871376 has 135 divisors (see below), whose sum is σ = 13720329317331. Its totient is φ = 1204036408512.

The previous prime is 4214299871329. The next prime is 4214299871387. The reversal of 4214299871376 is 6731789924124.

The square root of 4214299871376 is 2052876.

It is a perfect power (a square), and thus also a powerful number.

4214299871376 is a `hidden beast` number, since 4 + 21 + 429 + 98 + 71 + 37 + 6 = 666.

4214299871376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 172429365 + ... + 172453803.

Almost surely, 24214299871376 is an apocalyptic number.

4214299871376 is the 2052876-th square number.

It is an amenable number.

4214299871376 is an abundant number, since it is smaller than the sum of its proper divisors (9506029445955).

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

4214299871376 is an frugal number, since it uses more digits than its factorization.

4214299871376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48906 (or 24451 counting only the distinct ones).

The product of its digits is 36578304, while the sum is 63.

The spelling of 4214299871376 in words is "four trillion, two hundred fourteen billion, two hundred ninety-nine million, eight hundred seventy-one thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 392 441 504 588 784 882 1008 1176 1764 2352 3528 7056 24439 48878 73317 97756 146634 171073 195512 219951 293268 342146 391024 439902 513219 586536 684292 879804 1026438 1173072 1197511 1368584 1539657 1759608 2052876 2395022 2737168 3079314 3519216 3592533 4105752 4790044 6158628 7185066 8211504 9580088 10777599 12317256 14370132 19160176 21555198 24634512 28740264 43110396 57480528 86220792 172441584 597264721 1194529442 1791794163 2389058884 3583588326 4180853047 4778117768 5375382489 7167176652 8361706094 9556235536 10750764978 12542559141 14334353304 16723412188 21501529956 25085118282 28668706608 29265971329 33446824376 37627677423 43003059912 50170236564 58531942658 66893648752 75255354846 86006119824 87797913987 100340473128 117063885316 150510709692 175595827974 200680946256 234127770632 263393741961 301021419384 351191655948 468255541264 526787483922 602042838768 702383311896 1053574967844 1404766623792 2107149935688 4214299871376