Search a number
-
+
241220324012220 = 2232571371397406581
BaseRepresentation
bin110110110110001101111011…
…101110011011000010111100
31011122002102211010110222022200
4312312031323232123002330
5223104123210421342340
62213011030444311500
7101544410333340330
oct6666157356330274
91148072733428280
10241220324012220
116a950a68338723
122307a146542590
13a479c959a3477
14437d1a99737c0
151cd4a62db6330
hexdb637bb9b0bc

241220324012220 has 144 divisors (see below), whose sum is σ = 842334329124288. Its totient is φ = 54733620925440.

The previous prime is 241220324012219. The next prime is 241220324012257. The reversal of 241220324012220 is 22210423022142.

241220324012220 is a `hidden beast` number, since 2 + 4 + 1 + 2 + 2 + 0 + 32 + 401 + 2 + 220 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 698530671 + ... + 698875910.

It is an arithmetic number, because the mean of its divisors is an integer number (5849543952252).

Almost surely, 2241220324012220 is an apocalyptic number.

241220324012220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

241220324012220 is an abundant number, since it is smaller than the sum of its proper divisors (601114005112068).

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

241220324012220 is a wasteful number, since it uses less digits than its factorization.

241220324012220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1397406740 (or 1397406735 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 241220324012220 its reverse (22210423022142), we get a palindrome (263430747034362).

The spelling of 241220324012220 in words is "two hundred forty-one trillion, two hundred twenty billion, three hundred twenty-four million, twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 137 140 180 210 252 274 315 411 420 548 630 685 822 959 1233 1260 1370 1644 1918 2055 2466 2740 2877 3836 4110 4795 4932 5754 6165 8220 8631 9590 11508 12330 14385 17262 19180 24660 28770 34524 43155 57540 86310 172620 1397406581 2794813162 4192219743 5589626324 6987032905 8384439486 9781846067 12576659229 13974065810 16768878972 19563692134 20961098715 25153318458 27948131620 29345538201 39127384268 41922197430 48909230335 50306636916 58691076402 62883296145 83844394860 88036614603 97818460670 117382152804 125766592290 146727691005 176073229206 191444701597 195636921340 251533184580 293455382010 352146458412 382889403194 440183073015 574334104791 586910764020 765778806388 880366146030 957223507985 1148668209582 1340112911179 1723002314373 1760732292060 1914447015970 2297336419164 2680225822358 2871670523955 3446004628746 3828894031940 4020338733537 5360451644716 5743341047910 6700564555895 6892009257492 8040677467074 8615011571865 11486682095820 12061016200611 13401129111790 16081354934148 17230023143730 20101693667685 24122032401222 26802258223580 34460046287460 40203387335370 48244064802444 60305081003055 80406774670740 120610162006110 241220324012220