Search a number
-
+
144441223210401 = 31319718800107147
BaseRepresentation
bin100000110101111001010111…
…110011001110010110100001
3200221102110001012020200020120
4200311321113303032112201
5122413011111120213101
61231111214253430453
742265351106512125
oct4065712763162641
9627373035220216
10144441223210401
11420291a6a22337
121424981549b429
136279997459950
142794dc760d585
1511a73aae49b36
hex835e57cce5a1

144441223210401 has 16 divisors (see below), whose sum is σ = 208455588057024. Its totient is φ = 88435704014784.

The previous prime is 144441223210399. The next prime is 144441223210409. The reversal of 144441223210401 is 104012322144441.

It is not a de Polignac number, because 144441223210401 - 21 = 144441223210399 is a prime.

It is a super-3 number, since 3×1444412232104013 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (144441223210409) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9400045891 + ... + 9400061256.

It is an arithmetic number, because the mean of its divisors is an integer number (13028474253564).

Almost surely, 2144441223210401 is an apocalyptic number.

It is an amenable number.

144441223210401 is a deficient number, since it is larger than the sum of its proper divisors (64014364846623).

144441223210401 is a wasteful number, since it uses less digits than its factorization.

144441223210401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18800107360.

The product of its (nonzero) digits is 24576, while the sum is 33.

Adding to 144441223210401 its reverse (104012322144441), we get a palindrome (248453545354842).

The spelling of 144441223210401 in words is "one hundred forty-four trillion, four hundred forty-one billion, two hundred twenty-three million, two hundred ten thousand, four hundred one".

Divisors: 1 3 13 39 197 591 2561 7683 18800107147 56400321441 244401392911 733204178733 3703621107959 11110863323877 48147074403467 144441223210401