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144220334301 = 33376716313219
BaseRepresentation
bin1000011001010000110…
…0111010100011011101
3111210020222000002001000
42012110030322203131
54330330401144201
6150130502140513
713263625420641
oct2062414724335
9453228002030
10144220334301
115618868982a
1223b4b121739
13107a503a324
146da1d38c21
153b414bad86
hex219433a8dd

144220334301 has 64 divisors (see below), whose sum is σ = 224092748800. Its totient is φ = 91579802688.

The previous prime is 144220334281. The next prime is 144220334311. The reversal of 144220334301 is 103433022441.

144220334301 is a `hidden beast` number, since 1 + 4 + 4 + 2 + 20 + 334 + 301 = 666.

It is not a de Polignac number, because 144220334301 - 237 = 6781380829 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144220334311) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10903470 + ... + 10916688.

It is an arithmetic number, because the mean of its divisors is an integer number (3501449200).

Almost surely, 2144220334301 is an apocalyptic number.

It is an amenable number.

144220334301 is a deficient number, since it is larger than the sum of its proper divisors (79872414499).

144220334301 is a wasteful number, since it uses less digits than its factorization.

144220334301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13495 (or 13489 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 144220334301 its reverse (103433022441), we get a palindrome (247653356742).

The spelling of 144220334301 in words is "one hundred forty-four billion, two hundred twenty million, three hundred thirty-four thousand, three hundred one".

Divisors: 1 3 9 27 37 67 111 163 201 333 489 603 999 1467 1809 2479 4401 6031 7437 10921 13219 18093 22311 32763 39657 54279 66933 98289 118971 162837 294867 356913 404077 489103 885673 1212231 1467309 2154697 2657019 3636693 4401927 6464091 7971057 10910079 13205781 19392273 23913171 32769901 58176819 79723789 98309703 144364699 239171367 294929109 433094097 717514101 884787327 1299282291 2152542303 3897846873 5341493863 16024481589 48073444767 144220334301