Search a number
-
+
144553510024 = 23711330171089
BaseRepresentation
bin1000011010100000001…
…1111000010010001000
3111211010011221011012121
42012220003320102020
54332021144310044
6150223523221024
713305112363510
oct2065003702210
9454104834177
10144553510024
1156339762670
1224022817774
1310829082721
146dd42a6840
153b6087e984
hex21a80f8488

144553510024 has 64 divisors (see below), whose sum is σ = 338024419200. Its totient is φ = 56301696000.

The previous prime is 144553509941. The next prime is 144553510039. The reversal of 144553510024 is 420015355441.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1997872 + ... + 2068960.

It is an arithmetic number, because the mean of its divisors is an integer number (5281631550).

Almost surely, 2144553510024 is an apocalyptic number.

144553510024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

144553510024 is an abundant number, since it is smaller than the sum of its proper divisors (193470909176).

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

144553510024 is a wasteful number, since it uses less digits than its factorization.

144553510024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74414 (or 74410 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 34.

Adding to 144553510024 its reverse (420015355441), we get a palindrome (564568865465).

The spelling of 144553510024 in words is "one hundred forty-four billion, five hundred fifty-three million, five hundred ten thousand, twenty-four".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 308 616 3301 6602 13204 23107 26408 36311 46214 71089 72622 92428 142178 145244 184856 254177 284356 290488 497623 508354 568712 781979 995246 1016708 1563958 1990492 2033416 3127916 3980984 5473853 6255832 10947706 21895412 43790824 234664789 469329578 938659156 1642653523 1877318312 2581312679 3285307046 5162625358 6570614092 10325250716 13141228184 18069188753 20650501432 36138377506 72276755012 144553510024