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242412321420 = 223253761358079
BaseRepresentation
bin1110000111000011100…
…1100111101010001100
3212011201010112211212200
43201300321213222030
512432430023241140
6303210201201500
723341126506603
oct3416071475214
9764633484780
10242412321420
1193896488005
123ab93490290
1319b230b2759
14ba38bd8a3a
15648bb18030
hex3870e67a8c

242412321420 has 72 divisors (see below), whose sum is σ = 735514940160. Its totient is φ = 64625917440.

The previous prime is 242412321419. The next prime is 242412321433. The reversal of 242412321420 is 24123214242.

It is a happy number.

242412321420 is a `hidden beast` number, since 2 + 4 + 2 + 4 + 1 + 232 + 1 + 420 = 666.

242412321420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 497941 + ... + 856019.

It is an arithmetic number, because the mean of its divisors is an integer number (10215485280).

Almost surely, 2242412321420 is an apocalyptic number.

242412321420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242412321420 is an abundant number, since it is smaller than the sum of its proper divisors (493102618740).

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

242412321420 is a wasteful number, since it uses less digits than its factorization.

242412321420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361855 (or 361850 counting only the distinct ones).

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

Adding to 242412321420 its reverse (24123214242), we get a palindrome (266535535662).

The spelling of 242412321420 in words is "two hundred forty-two billion, four hundred twelve million, three hundred twenty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 3761 7522 11283 15044 18805 22566 33849 37610 45132 56415 67698 75220 112830 135396 169245 225660 338490 358079 676980 716158 1074237 1432316 1790395 2148474 3222711 3580790 4296948 5371185 6445422 7161580 10742370 12890844 16113555 21484740 32227110 64454220 1346735119 2693470238 4040205357 5386940476 6733675595 8080410714 12120616071 13467351190 16160821428 20201026785 24241232142 26934702380 40402053570 48482464284 60603080355 80804107140 121206160710 242412321420