Search a number
-
+
144011321330000 = 245486316687291
BaseRepresentation
bin100000101111101000111111…
…101001101100100101010000
3200212220100101121000101122212
4200233220333221230211100
5122333440141230030000
61230141515424251252
742222321536023205
oct4057507751544520
9625810347011585
10144011321330000
1141982949583693
121419a438170b28
136248294b8c167
14277c284063cac
15119b0e9359c35
hex82fa3fa6c950

144011321330000 has 100 divisors (see below), whose sum is σ = 349069846992768. Its totient is φ = 57537775920000.

The previous prime is 144011321329957. The next prime is 144011321330003. The reversal of 144011321330000 is 33123110441.

144011321330000 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144011321330003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 286355 + ... + 16973645.

Almost surely, 2144011321330000 is an apocalyptic number.

144011321330000 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 144011321330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174534923496384).

144011321330000 is an abundant number, since it is smaller than the sum of its proper divisors (205058525662768).

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

144011321330000 is an equidigital number, since it uses as much as digits as its factorization.

144011321330000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16688182 (or 16688161 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 144011321330000 its reverse (33123110441), we get a palindrome (144044444440441).

The spelling of 144011321330000 in words is "one hundred forty-four trillion, eleven billion, three hundred twenty-one million, three hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 863 1000 1250 1726 2000 2500 3452 4315 5000 6904 8630 10000 13808 17260 21575 34520 43150 69040 86300 107875 172600 215750 345200 431500 539375 863000 1078750 1726000 2157500 4315000 8630000 16687291 33374582 66749164 83436455 133498328 166872910 266996656 333745820 417182275 667491640 834364550 1334983280 1668729100 2085911375 3337458200 4171822750 6674916400 8343645500 10429556875 14401132133 16687291000 20859113750 28802264266 33374582000 41718227500 57604528532 72005660665 83436455000 115209057064 144011321330 166872910000 230418114128 288022642660 360028303325 576045285320 720056606650 1152090570640 1440113213300 1800141516625 2880226426600 3600283033250 5760452853200 7200566066500 9000707583125 14401132133000 18001415166250 28802264266000 36002830332500 72005660665000 144011321330000