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132326324341224 = 233133592080756779
BaseRepresentation
bin11110000101100110011111…
…100011101000100111101000
3122100112021101001200020220220
4132011212133203220213220
5114321013303012404344
61145233512454050040
736605155450303536
oct3605463743504750
9570467331606826
10132326324341224
1139188308394512
1212a1188a349920
1358ab41b65ca10
1424968b1d93156
1510471a0d04c19
hex78599f8e89e8

132326324341224 has 128 divisors (see below), whose sum is σ = 357279019776000. Its totient is φ = 40599711201024.

The previous prime is 132326324341217. The next prime is 132326324341279. The reversal of 132326324341224 is 422143423623231.

It is a super-2 number, since 2×1323263243412242 (a number of 29 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, 2330522067 + ... + 2330578845.

It is an arithmetic number, because the mean of its divisors is an integer number (2791242342000).

Almost surely, 2132326324341224 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 132326324341224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178639509888000).

132326324341224 is an abundant number, since it is smaller than the sum of its proper divisors (224952695434776).

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

132326324341224 is a wasteful number, since it uses less digits than its factorization.

132326324341224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77967 (or 77963 counting only the distinct ones).

The product of its digits is 995328, while the sum is 42.

Adding to 132326324341224 its reverse (422143423623231), we get a palindrome (554469747964455).

The spelling of 132326324341224 in words is "one hundred thirty-two trillion, three hundred twenty-six billion, three hundred twenty-four million, three hundred forty-one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 359 718 1077 1436 2154 2872 4308 4667 8616 9334 14001 18668 20807 28002 37336 41614 56004 56779 62421 83228 112008 113558 124842 166456 170337 227116 249684 270491 340674 454232 499368 540982 681348 738127 811473 1081964 1362696 1476254 1622946 2163928 2214381 2952508 3245892 4428762 5905016 6491784 7469713 8857524 14939426 17715048 20383661 22409139 29878852 40767322 44818278 59757704 61150983 81534644 89636556 97106269 122301966 163069288 179273112 194212538 244603932 264987593 291318807 388425076 489207864 529975186 582637614 776850152 794962779 1059950372 1165275228 1181400653 1589925558 2119900744 2330550456 2362801306 3179851116 3544201959 4725602612 6359702232 7088403918 9451205224 14176807836 15358208489 28353615672 30716416978 46074625467 61432833956 92149250934 122865667912 184298501868 368597003736 424122834427 848245668854 1272368503281 1696491337708 2544737006562 3392982675416 5089474013124 5513596847551 10178948026248 11027193695102 16540790542653 22054387390204 33081581085306 44108774780408 66163162170612 132326324341224