Search a number
-
+
144450054441 = 32711322964553
BaseRepresentation
bin1000011010000111100…
…1001110100100101001
3111210211222021001211100
42012201321032210221
54331313203220231
6150205345552013
713302415126650
oct2064171164451
9453758231740
10144450054441
1156296320990
1223bb4045609
13108107cc0c4
146dc4656197
153b567461e6
hex21a1e4e929

144450054441 has 48 divisors (see below), whose sum is σ = 260219756160. Its totient is φ = 75014588160.

The previous prime is 144450054421. The next prime is 144450054451.

144450054441 is a `hidden beast` number, since 144 + 4 + 500 + 5 + 4 + 4 + 4 + 1 = 666.

144450054441 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 144450054441 - 27 = 144450054313 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 144450054396 and 144450054405.

It is not an unprimeable number, because it can be changed into a prime (144450054421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2205421 + ... + 2269973.

It is an arithmetic number, because the mean of its divisors is an integer number (5421244920).

Almost surely, 2144450054441 is an apocalyptic number.

144450054441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

144450054441 is a deficient number, since it is larger than the sum of its proper divisors (115769701719).

144450054441 is a wasteful number, since it uses less digits than its factorization.

144450054441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67806 (or 67803 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 36.

It can be divided in two parts, 1444500 and 54441, that added together give a palindrome (1498941).

The spelling of 144450054441 in words is "one hundred forty-four billion, four hundred fifty million, fifty-four thousand, four hundred forty-one".

Divisors: 1 3 7 9 11 21 33 63 77 99 231 693 3229 9687 22603 29061 35519 64553 67809 106557 193659 203427 248633 319671 451871 580977 710083 745899 1355613 2130249 2237697 4066839 4970581 6390747 14911743 44735229 208441637 625324911 1459091459 1875974733 2292858007 4377274377 6878574021 13131823131 16050006049 20635722063 48150018147 144450054441