Search a number
-
+
144330103242 = 232133140948647
BaseRepresentation
bin1000011001101010111…
…1101001100111001010
3111210112121112220201100
42012122233221213022
54331042001300432
6150145423002230
713266430431003
oct2063257514712
9453477486640
10144330103242
1156234642866
1223b7ba39376
13107c19c1470
146db27501aa
153b4ae5007c
hex219abe99ca

144330103242 has 96 divisors (see below), whose sum is σ = 348490920960. Its totient is φ = 42870746880.

The previous prime is 144330103213. The next prime is 144330103243. The reversal of 144330103242 is 242301033441.

144330103242 is a `hidden beast` number, since 1 + 4 + 4 + 330 + 1 + 0 + 324 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (144330103243) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2942563 + ... + 2991209.

It is an arithmetic number, because the mean of its divisors is an integer number (3630113760).

Almost surely, 2144330103242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144330103242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174245460480).

144330103242 is an abundant number, since it is smaller than the sum of its proper divisors (204160817718).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

144330103242 is a wasteful number, since it uses less digits than its factorization.

144330103242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49108 (or 49105 counting only the distinct ones).

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

Adding to 144330103242 its reverse (242301033441), we get a palindrome (386631136683).

The spelling of 144330103242 in words is "one hundred forty-four billion, three hundred thirty million, one hundred three thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 31 39 62 78 93 117 186 234 279 403 409 558 806 818 1209 1227 2418 2454 3627 3681 5317 7254 7362 10634 12679 15951 25358 31902 38037 47853 48647 76074 95706 97294 114111 145941 164827 228222 291882 329654 437823 494481 632411 875646 988962 1264822 1483443 1508057 1897233 2966886 3016114 3794466 4524171 5691699 9048342 11383398 13572513 19604741 19896623 27145026 39209482 39793246 58814223 59689869 117628446 119379738 176442669 179069607 258656099 352885338 358139214 517312198 616795313 775968297 1233590626 1551936594 1850385939 2327904891 3700771878 4655809782 5551157817 8018339069 11102315634 16036678138 24055017207 48110034414 72165051621 144330103242