Search a number
-
+
42425043312 = 24329473891667
BaseRepresentation
bin100111100000101110…
…101100100101110000
311001111200012111112110
4213200232230211300
51143341302341222
631253443525320
73031221626631
oct474056544560
9131450174473
1042425043312
1116aa0915a73
128280089840
1340015c9032
1420a66a9888
15118485830c
hex9e0bac970

42425043312 has 160 divisors (see below), whose sum is σ = 116156851200. Its totient is φ = 13321176064.

The previous prime is 42425043289. The next prime is 42425043317. The reversal of 42425043312 is 21334052424.

It is a self number, because there is not a number n which added to its sum of digits gives 42425043312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42425043317) 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 31 ways as a sum of consecutive naturals, for example, 25449103 + ... + 25450769.

It is an arithmetic number, because the mean of its divisors is an integer number (725980320).

Almost surely, 242425043312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42425043312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58078425600).

42425043312 is an abundant number, since it is smaller than the sum of its proper divisors (73731807888).

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

42425043312 is a wasteful number, since it uses less digits than its factorization.

42425043312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2143 (or 2137 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 42425043312 its reverse (21334052424), we get a palindrome (63759095736).

The spelling of 42425043312 in words is "forty-two billion, four hundred twenty-five million, forty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 29 47 48 58 87 94 116 141 174 188 232 282 348 376 389 464 564 696 752 778 1128 1167 1363 1392 1556 1667 2256 2334 2726 3112 3334 4089 4668 5001 5452 6224 6668 8178 9336 10002 10904 11281 13336 16356 18283 18672 20004 21808 22562 26672 32712 33843 36566 40008 45124 48343 54849 65424 67686 73132 78349 80016 90248 96686 109698 135372 145029 146264 156698 180496 193372 219396 235047 270744 290058 292528 313396 386744 438792 470094 530207 541488 580116 626792 648463 773488 877584 940188 1060414 1160232 1253584 1296926 1590621 1880376 1945389 2120828 2272121 2320464 2593852 3181242 3760752 3890778 4241656 4544242 5187704 6362484 6816363 7781556 8483312 9088484 10375408 12724968 13632726 15563112 18176968 18805427 25449936 27265452 30477761 31126224 36353936 37610854 54530904 56416281 60955522 75221708 91433283 109061808 112832562 121911044 150443416 182866566 225665124 243822088 300886832 365733132 451330248 487644176 731466264 883855069 902660496 1462932528 1767710138 2651565207 3535420276 5303130414 7070840552 10606260828 14141681104 21212521656 42425043312