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14144423044000 = 255315792239459
BaseRepresentation
bin1100110111010100000101…
…0011111010001110100000
31212002012020011100202020011
43031311001103322032200
53323220234244402000
650025505214054304
72656620663102634
oct315650123721640
955065204322204
1014144423044000
114563686078197
12170534a7aa394
137b7a75c86a32
1436c845292dc4
15197de00ab2ba
hexcdd414fa3a0

14144423044000 has 96 divisors (see below), whose sum is σ = 34774872350400. Its totient is φ = 5654183558400.

The previous prime is 14144423043991. The next prime is 14144423044079. The reversal of 14144423044000 is 44032444141.

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, 5196271 + ... + 7435729.

It is an arithmetic number, because the mean of its divisors is an integer number (362238253650).

Almost surely, 214144423044000 is an apocalyptic number.

14144423044000 is a gapful number since it is divisible by the number (10) 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 14144423044000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17387436175200).

14144423044000 is an abundant number, since it is smaller than the sum of its proper divisors (20630449306400).

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

14144423044000 is a wasteful number, since it uses less digits than its factorization.

14144423044000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2241063 (or 2241045 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 31.

Adding to 14144423044000 its reverse (44032444141), we get a palindrome (14188455488141).

The spelling of 14144423044000 in words is "fourteen trillion, one hundred forty-four billion, four hundred twenty-three million, forty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 1579 2000 3158 4000 6316 7895 12632 15790 25264 31580 39475 50528 63160 78950 126320 157900 197375 252640 315800 394750 631600 789500 1263200 1579000 2239459 3158000 4478918 6316000 8957836 11197295 17915672 22394590 35831344 44789180 55986475 71662688 89578360 111972950 179156720 223945900 279932375 358313440 447891800 559864750 895783600 1119729500 1791567200 2239459000 3536105761 4478918000 7072211522 8957836000 14144423044 17680528805 28288846088 35361057610 56577692176 70722115220 88402644025 113155384352 141444230440 176805288050 282888460880 353610576100 442013220125 565776921760 707221152200 884026440250 1414442304400 1768052880500 2828884608800 3536105761000 7072211522000 14144423044000