Search a number
-
+
144300232420020 = 223252273531576907
BaseRepresentation
bin100000110011110110000100…
…000110000010101010110100
3200220220222010022012102121100
4200303312010012002222310
5122403203333444420040
61230522340035450100
742252230164540125
oct4063660406025264
9626828108172540
10144300232420020
1141a84426335776
1214226427a56930
1362695b8533671
14278c25059004c
1511a38a8265b30
hex833d84182ab4

144300232420020 has 72 divisors (see below), whose sum is σ = 439638946123104. Its totient is φ = 38310546276288.

The previous prime is 144300232419953. The next prime is 144300232420039. The reversal of 144300232420020 is 20024232003441.

144300232420020 is a `hidden beast` number, since 1 + 4 + 4 + 3 + 0 + 0 + 232 + 420 + 0 + 2 + 0 = 666.

It is a congruent number.

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, 1765747594 + ... + 1765829313.

It is an arithmetic number, because the mean of its divisors is an integer number (6106096473932).

Almost surely, 2144300232420020 is an apocalyptic number.

144300232420020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144300232420020 is an abundant number, since it is smaller than the sum of its proper divisors (295338713703084).

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

144300232420020 is a wasteful number, since it uses less digits than its factorization.

144300232420020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3531577149 (or 3531577144 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 144300232420020 its reverse (20024232003441), we get a palindrome (164324464423461).

The spelling of 144300232420020 in words is "one hundred forty-four trillion, three hundred billion, two hundred thirty-two million, four hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 227 454 681 908 1135 1362 2043 2270 2724 3405 4086 4540 6810 8172 10215 13620 20430 40860 3531576907 7063153814 10594730721 14126307628 17657884535 21189461442 31784192163 35315769070 42378922884 52973653605 63568384326 70631538140 105947307210 127136768652 158920960815 211894614420 317841921630 635683843260 801667957889 1603335915778 2405003873667 3206671831556 4008339789445 4810007747334 7215011621001 8016679578890 9620015494668 12025019368335 14430023242002 16033359157780 24050038736670 28860046484004 36075058105005 48100077473340 72150116210010 144300232420020