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144120210024120 = 2335111031060019197
BaseRepresentation
bin100000110001001110011001…
…111011000110011010111000
3200220021202110020022011221220
4200301032121323012122320
5122342231142231232440
61230303524355032040
742233225104451631
oct4061163173063270
9626252406264856
10144120210024120
1141a15046397190
12141b756689b620
13625562907a305
142783653804888
15119dd6dad68d0
hex831399ec66b8

144120210024120 has 128 divisors (see below), whose sum is σ = 476245425277440. Its totient is φ = 34599026557440.

The previous prime is 144120210024113. The next prime is 144120210024139. The reversal of 144120210024120 is 21420012021441.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 529873639 + ... + 530145558.

It is an arithmetic number, because the mean of its divisors is an integer number (3720667384980).

Almost surely, 2144120210024120 is an apocalyptic number.

144120210024120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144120210024120 is an abundant number, since it is smaller than the sum of its proper divisors (332125215253320).

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

144120210024120 is a wasteful number, since it uses less digits than its factorization.

144120210024120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1060019325 (or 1060019321 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 144120210024120 its reverse (21420012021441), we get a palindrome (165540222045561).

The spelling of 144120210024120 in words is "one hundred forty-four trillion, one hundred twenty billion, two hundred ten million, twenty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 103 110 120 132 165 206 220 264 309 330 412 440 515 618 660 824 1030 1133 1236 1320 1545 2060 2266 2472 3090 3399 4120 4532 5665 6180 6798 9064 11330 12360 13596 16995 22660 27192 33990 45320 67980 135960 1060019197 2120038394 3180057591 4240076788 5300095985 6360115182 8480153576 10600191970 11660211167 12720230364 15900287955 21200383940 23320422334 25440460728 31800575910 34980633501 42400767880 46640844668 58301055835 63601151820 69961267002 93281689336 109181977291 116602111670 127202303640 139922534004 174903167505 218363954582 233204223340 279845068008 327545931873 349806335010 436727909164 466408446680 545909886455 655091863746 699612670020 873455818328 1091819772910 1201001750201 1310183727492 1399225340040 1637729659365 2183639545820 2402003500402 2620367454984 3275459318730 3603005250603 4367279091640 4804007000804 6005008751005 6550918637460 7206010501206 9608014001608 12010017502010 13101837274920 14412021002412 18015026253015 24020035004020 28824042004824 36030052506030 48040070008040 72060105012060 144120210024120