Search a number
-
+
144130224322112 = 2671726371956889
BaseRepresentation
bin100000110001010111101110…
…110100100111011001000000
3200220022201022010222020020112
4200301113232310213121000
5122342412144411301422
61230312302212130452
742234031214543660
oct4061275664473100
9626281263866215
10144130224322112
1141a19315187516
12141b94a0606a28
136256563a02722
142783d2380a1a0
15119e257d6aee2
hex8315eed27640

144130224322112 has 112 divisors (see below), whose sum is σ = 347410167540480. Its totient is φ = 57915508703232.

The previous prime is 144130224322111. The next prime is 144130224322127. The reversal of 144130224322112 is 211223422031441.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (144130224322111) 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, 33975437 + ... + 37981452.

Almost surely, 2144130224322112 is an apocalyptic number.

It is an amenable number.

144130224322112 is an abundant number, since it is smaller than the sum of its proper divisors (203279943218368).

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

144130224322112 is a wasteful number, since it uses less digits than its factorization.

144130224322112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71957188 (or 71957178 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 144130224322112 its reverse (211223422031441), we get a palindrome (355353646353553).

The spelling of 144130224322112 in words is "one hundred forty-four trillion, one hundred thirty billion, two hundred twenty-four million, three hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 136 224 238 263 272 448 476 526 544 952 1052 1088 1841 1904 2104 3682 3808 4208 4471 7364 7616 8416 8942 14728 16832 17884 29456 31297 35768 58912 62594 71536 117824 125188 143072 250376 286144 500752 1001504 2003008 71956889 143913778 287827556 503698223 575655112 1007396446 1151310224 1223267113 2014792892 2302620448 2446534226 4029585784 4605240896 4893068452 8059171568 8562869791 9786136904 16118343136 17125739582 18924661807 19572273808 32236686272 34251479164 37849323614 39144547616 68502958328 75698647228 78289095232 132472632649 137005916656 151397294456 264945265298 274011833312 302794588912 321719250719 529890530596 548023666624 605589177824 643438501438 1059781061192 1211178355648 1286877002876 2119562122384 2252034755033 2573754005752 4239124244768 4504069510066 5147508011504 8478248489536 9008139020132 10295016023008 18016278040264 20590032046016 36032556080528 72065112161056 144130224322112