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144055430001 = 32713119191387
BaseRepresentation
bin1000011000101001011…
…1110110101101110001
3111202211110201001212100
42012022113312231301
54330011142230001
6150102251451013
713256553644250
oct2061227665561
9452743631770
10144055430001
115610359778a
1223b03a56a69
1310779b20512
146d88090797
153b31c95586
hex218a5f6b71

144055430001 has 48 divisors (see below), whose sum is σ = 240878297088. Its totient is φ = 81260431200.

The previous prime is 144055429981. The next prime is 144055430017. The reversal of 144055430001 is 100034550441.

It is a happy number.

It is not a de Polignac number, because 144055430001 - 27 = 144055429873 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (144055430021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1530630 + ... + 1622016.

It is an arithmetic number, because the mean of its divisors is an integer number (5018297856).

Almost surely, 2144055430001 is an apocalyptic number.

It is an amenable number.

144055430001 is a deficient number, since it is larger than the sum of its proper divisors (96822867087).

144055430001 is a wasteful number, since it uses less digits than its factorization.

144055430001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91722 (or 91719 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 144055430001 its reverse (100034550441), we get a palindrome (244089980442).

It can be divided in two parts, 144055 and 430001, that added together give a triangular number (574056 = T1071).

The spelling of 144055430001 in words is "one hundred forty-four billion, fifty-five million, four hundred thirty thousand, one".

Divisors: 1 3 7 9 21 63 131 191 393 573 917 1179 1337 1719 2751 4011 8253 12033 25021 75063 91387 175147 225189 274161 525441 639709 822483 1576323 1919127 5757381 11971697 17454917 35915091 52364751 83801879 107745273 122184419 157094253 251405637 366553257 754216911 1099659771 2286594127 6859782381 16006158889 20579347143 48018476667 144055430001