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42114014443000 = 2353712707219119
BaseRepresentation
bin10011001001101011011101…
…10111101111010111111000
312112010001122002001200011201
421210311232313233113320
521004444000144134000
6225322524450303544
711604431352241513
oct1144655667572770
9175101562050151
1042114014443000
11124674a9274455
124881b8a287bb4
131a66446c36396
14a58487381d7a
154d073746b96a
hex264d6edef5f8

42114014443000 has 128 divisors (see below), whose sum is σ = 99972150220800. Its totient is φ = 16602132624000.

The previous prime is 42114014442989. The next prime is 42114014443043. The reversal of 42114014443000 is 34441041124.

It is a self number, because there is not a number n which added to its sum of digits gives 42114014443000.

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 31 ways as a sum of consecutive naturals, for example, 192087441 + ... + 192306559.

It is an arithmetic number, because the mean of its divisors is an integer number (781032423600).

Almost surely, 242114014443000 is an apocalyptic number.

42114014443000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42114014443000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49986075110400).

42114014443000 is an abundant number, since it is smaller than the sum of its proper divisors (57858135777800).

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

42114014443000 is a wasteful number, since it uses less digits than its factorization.

42114014443000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221918 (or 221904 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 42114014443000 its reverse (34441041124), we get a palindrome (42148455484124).

The spelling of 42114014443000 in words is "forty-two trillion, one hundred fourteen billion, fourteen million, four hundred forty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 71 100 125 142 200 250 284 355 500 568 710 1000 1420 1775 2707 2840 3550 5414 7100 8875 10828 13535 14200 17750 21656 27070 35500 54140 67675 71000 108280 135350 192197 219119 270700 338375 384394 438238 541400 676750 768788 876476 960985 1095595 1353500 1537576 1752952 1921970 2191190 2707000 3843940 4382380 4804925 5477975 7687880 8764760 9609850 10955950 15557449 19219700 21911900 24024625 27389875 31114898 38439400 43823800 48049250 54779750 62229796 77787245 96098500 109559500 124459592 155574490 192197000 219119000 311148980 388936225 593155133 622297960 777872450 1186310266 1555744900 1944681125 2372620532 2965775665 3111489800 3889362250 4745241064 5931551330 7778724500 11863102660 14828878325 15557449000 23726205320 29657756650 42114014443 59315513300 74144391625 84228028886 118631026600 148288783250 168456057772 210570072215 296577566500 336912115544 421140144430 593155133000 842280288860 1052850361075 1684560577720 2105700722150 4211401444300 5264251805375 8422802888600 10528503610750 21057007221500 42114014443000