Search a number
-
+
434204130012 = 22319612577887
BaseRepresentation
bin1100101000110001001…
…01010011101011011100
31112111202102200012112220
412110120211103223130
524103222224130022
6531245353225340
743240661131452
oct6243045235334
91474672605486
10434204130012
11158165a03544
127019a102250
1331c399c6c23
1417030ada9d2
15b46466a85c
hex6518953adc

434204130012 has 144 divisors (see below), whose sum is σ = 1087339518720. Its totient is φ = 134483742720.

The previous prime is 434204130011. The next prime is 434204130043. The reversal of 434204130012 is 210031402434.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434204130011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 489519433 + ... + 489520319.

It is an arithmetic number, because the mean of its divisors is an integer number (7550968880).

Almost surely, 2434204130012 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 434204130012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543669759360).

434204130012 is an abundant number, since it is smaller than the sum of its proper divisors (653135388708).

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

434204130012 is a wasteful number, since it uses less digits than its factorization.

434204130012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1612 (or 1549 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 434204130012 its reverse (210031402434), we get a palindrome (644235532446).

The spelling of 434204130012 in words is "four hundred thirty-four billion, two hundred four million, one hundred thirty thousand, twelve".

Divisors: 1 2 3 4 6 12 19 38 57 61 76 114 122 183 228 244 366 577 732 887 1154 1159 1731 1774 2308 2318 2661 3462 3477 3548 3721 4636 5322 6924 6954 7442 10644 10963 11163 13908 14884 16853 21926 22326 32889 33706 35197 43852 44652 50559 54107 65778 67412 70394 70699 101118 105591 108214 131556 140788 141398 162321 202236 211182 212097 216428 282796 324642 422364 424194 511799 649284 668743 848388 1023598 1028033 1337486 1535397 2006229 2047196 2056066 2147017 2674972 3070794 3084099 3300527 4012458 4112132 4294034 6141588 6168198 6441051 6601054 8024916 8588068 9724181 9901581 12336396 12882102 13202108 19448362 19803162 25764204 29172543 31219739 38896724 39606324 40793323 58345086 62439478 62710013 81586646 93659217 116690172 122379969 124878956 125420026 163173292 187318434 188130039 244759938 250840052 374636868 376260078 489519876 593175041 752520156 1186350082 1779525123 1904404079 2372700164 3559050246 3808808158 5713212237 7118100492 7617616316 11426424474 22852848948 36183677501 72367355002 108551032503 144734710004 217102065006 434204130012