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14042041142000 = 245350789138239
BaseRepresentation
bin1100110001010110101011…
…0111111100101011110000
31211201101221222202020200212
43030111222313330223300
53320031100013021000
645510454042403252
72646334604225504
oct314255267745360
954641858666625
1014042041142000
114524218170943
1216a9537200528
137ab20ab57131
143678d1b64304
151953ebbc2c35
hexcc56adfcaf0

14042041142000 has 80 divisors (see below), whose sum is σ = 33954569625600. Its totient is φ = 5616665235200.

The previous prime is 14042041141949. The next prime is 14042041142011. The reversal of 14042041142000 is 24114024041.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101508881 + ... + 101647119.

It is an arithmetic number, because the mean of its divisors is an integer number (424432120320).

Almost surely, 214042041142000 is an apocalyptic number.

14042041142000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14042041142000 is an abundant number, since it is smaller than the sum of its proper divisors (19912528483600).

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

14042041142000 is a wasteful number, since it uses less digits than its factorization.

14042041142000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189051 (or 189035 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

Adding to 14042041142000 its reverse (24114024041), we get a palindrome (14066155166041).

The spelling of 14042041142000 in words is "fourteen trillion, forty-two billion, forty-one million, one hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 50789 101578 138239 203156 253945 276478 406312 507890 552956 691195 812624 1015780 1105912 1269725 1382390 2031560 2211824 2539450 2764780 3455975 4063120 5078900 5529560 6348625 6911950 10157800 11059120 12697250 13823900 17279875 20315600 25394500 27647800 34559750 50789000 55295600 69119500 101578000 138239000 276478000 7021020571 14042041142 28084082284 35105102855 56168164568 70210205710 112336329136 140420411420 175525514275 280840822840 351051028550 561681645680 702102057100 877627571375 1404204114200 1755255142750 2808408228400 3510510285500 7021020571000 14042041142000