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144445625371047 = 37111349197964239
BaseRepresentation
bin100000110101111101011110…
…001100001000100110100111
3200221102212101222200121101110
4200311331132030020212213
5122413044120043333142
61231113223151200103
742265565152326540
oct4065753614104647
9627385358617343
10144445625371047
1142030055917830
121424a643816033
13627a219498230
1427952c412b4c7
1511a756765d99c
hex835f5e3089a7

144445625371047 has 64 divisors (see below), whose sum is σ = 259114631086080. Its totient is φ = 69123566332800.

The previous prime is 144445625371039. The next prime is 144445625371057. The reversal of 144445625371047 is 740173526544441.

144445625371047 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 144445625371047 - 23 = 144445625371039 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144445625371057) 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, 47507647 + ... + 50456592.

It is an arithmetic number, because the mean of its divisors is an integer number (4048666110720).

Almost surely, 2144445625371047 is an apocalyptic number.

144445625371047 is a deficient number, since it is larger than the sum of its proper divisors (114669005715033).

144445625371047 is a wasteful number, since it uses less digits than its factorization.

144445625371047 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97964764.

The product of its (nonzero) digits is 45158400, while the sum is 57.

The spelling of 144445625371047 in words is "one hundred forty-four trillion, four hundred forty-five billion, six hundred twenty-five million, three hundred seventy-one thousand, forty-seven".

Divisors: 1 3 7 11 13 21 33 39 77 91 143 231 273 429 491 1001 1473 3003 3437 5401 6383 10311 16203 19149 37807 44681 70213 113421 134043 210639 491491 1474473 97964239 293892717 685749673 1077606629 1273535107 2057249019 3232819887 3820605321 7543246403 8914745749 14008886177 22629739209 26744237247 42026658531 48100441349 98062203239 144301324047 294186609717 336703089443 529104854839 625305737537 1010109268329 1587314564517 1875917212611 3703733983873 4377140162759 6878363112907 11111201951619 13131420488277 20635089338721 48148541790349 144445625371047