Search a number
-
+
144428121369 = 3272180972
BaseRepresentation
bin1000011010000010010…
…1100011110100011001
3111210210102222202022100
42012200211203310121
54331242044340434
6150203243514013
713302030530100
oct2064045436431
9453712882270
10144428121369
1156284a00284
1223ba8828909
13108090bcb5c
146dc1787037
153b54862699
hex21a0963d19

144428121369 has 27 divisors (see below), whose sum is σ = 242691954687. Its totient is φ = 82525794624.

The previous prime is 144428121361. The next prime is 144428121371. The reversal of 144428121369 is 963121824441.

The square root of 144428121369 is 380037.

It is a perfect power (a square), and thus also a powerful number.

144428121369 is a `hidden beast` number, since 1 + 4 + 4 + 4 + 281 + 2 + 1 + 369 = 666.

It can be written as a sum of positive squares in only one way, i.e., 18891128025 + 125536993344 = 137445^2 + 354312^2 .

It is not a de Polignac number, because 144428121369 - 23 = 144428121361 is a prime.

It is a super-2 number, since 2×1444281213692 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (144428121361) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7971729 + ... + 7989825.

Almost surely, 2144428121369 is an apocalyptic number.

144428121369 is the 380037-th square number.

144428121369 is the 190019-th centered octagonal number.

It is an amenable number.

144428121369 is a deficient number, since it is larger than the sum of its proper divisors (98263833318).

144428121369 is an frugal number, since it uses more digits than its factorization.

144428121369 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36214 (or 18107 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The spelling of 144428121369 in words is "one hundred forty-four billion, four hundred twenty-eight million, one hundred twenty-one thousand, three hundred sixty-nine".

Divisors: 1 3 7 9 21 49 63 147 441 18097 54291 126679 162873 380037 886753 1140111 2660259 7980777 327501409 982504227 2292509863 2947512681 6877529589 16047569041 20632588767 48142707123 144428121369