Search a number
-
+
243131441424 = 24343476074129
BaseRepresentation
bin1110001001101111000…
…0110110000100010000
3212020120020200221001220
43202123300312010100
512440413122111144
6303405410325040
723365011103434
oct3423360660420
9766506627056
10243131441424
11941253a6563
123b154289780
1319c09087851
14baa650c9c4
1564ced15919
hex389bc36110

243131441424 has 160 divisors (see below), whose sum is σ = 657611243520. Its totient is φ = 77328470016.

The previous prime is 243131441401. The next prime is 243131441431. The reversal of 243131441424 is 424144131342.

It is a happy number.

It is a super-2 number, since 2×2431314414242 (a number of 24 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58881792 + ... + 58885920.

It is an arithmetic number, because the mean of its divisors is an integer number (4110070272).

Almost surely, 2243131441424 is an apocalyptic number.

243131441424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243131441424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328805621760).

243131441424 is an abundant number, since it is smaller than the sum of its proper divisors (414479802096).

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

243131441424 is a wasteful number, since it uses less digits than its factorization.

243131441424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4837 (or 4831 counting only the distinct ones).

The product of its digits is 36864, while the sum is 33.

Adding to 243131441424 its reverse (424144131342), we get a palindrome (667275572766).

The spelling of 243131441424 in words is "two hundred forty-three billion, one hundred thirty-one million, four hundred forty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 43 47 48 86 94 129 141 172 188 258 282 344 376 516 564 607 688 752 1032 1128 1214 1821 2021 2064 2256 2428 3642 4042 4129 4856 6063 7284 8084 8258 9712 12126 12387 14568 16168 16516 24252 24774 26101 28529 29136 32336 33032 48504 49548 52202 57058 66064 78303 85587 97008 99096 104404 114116 156606 171174 177547 194063 198192 208808 228232 313212 342348 355094 388126 417616 456464 532641 582189 626424 684696 710188 776252 1065282 1164378 1226747 1252848 1369392 1420376 1552504 2130564 2328756 2453494 2506303 2840752 3105008 3680241 4261128 4657512 4906988 5012606 7360482 7518909 8344709 8522256 9315024 9813976 10025212 14720964 15037818 16689418 19627952 20050424 25034127 29441928 30075636 33378836 40100848 50068254 58883856 60151272 66757672 100136508 107771029 117796241 120302544 133515344 200273016 215542058 235592482 323313087 353388723 400546032 431084116 471184964 646626174 706777446 862168232 942369928 1293252348 1413554892 1724336464 1884739856 2586504696 2827109784 5065238363 5173009392 5654219568 10130476726 15195715089 20260953452 30391430178 40521906904 60782860356 81043813808 121565720712 243131441424