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114523220530432 = 2873891447113537
BaseRepresentation
bin11010000010100010000011…
…111000001101010100000000
3120000111022110010222100202101
4122002202003320031110000
5110002322023423433212
61043323124033400144
733060013110614650
oct3202420370152400
9500438403870671
10114523220530432
113354403041447a
1210a1744aa09054
134bb9654b9ba9c
14203cd4c39a360
15d39029b73157
hex682883e0d500

114523220530432 has 144 divisors (see below), whose sum is σ = 262111029223680. Its totient is φ = 48920943919104.

The previous prime is 114523220530427. The next prime is 114523220530447. The reversal of 114523220530432 is 234035022325411.

It is a junction number, because it is equal to n+sod(n) for n = 114523220530391 and 114523220530400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1008629568 + ... + 1008743104.

It is an arithmetic number, because the mean of its divisors is an integer number (1820215480720).

Almost surely, 2114523220530432 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 114523220530432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131055514611840).

114523220530432 is an abundant number, since it is smaller than the sum of its proper divisors (147587808693248).

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

114523220530432 is a wasteful number, since it uses less digits than its factorization.

114523220530432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115396 (or 115382 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 37.

Adding to 114523220530432 its reverse (234035022325411), we get a palindrome (348558242855843).

The spelling of 114523220530432 in words is "one hundred fourteen trillion, five hundred twenty-three billion, two hundred twenty million, five hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 389 448 778 896 1447 1556 1792 2723 2894 3112 5446 5788 6224 10129 10892 11576 12448 20258 21784 23152 24896 40516 43568 46304 49792 81032 87136 92608 99584 113537 162064 174272 185216 227074 324128 348544 370432 454148 562883 648256 697088 794759 908296 1125766 1296512 1589518 1816592 2251532 2593024 3179036 3633184 3940181 4503064 6358072 7266368 7880362 9006128 12716144 14532736 15760724 18012256 25432288 29065472 31521448 36024512 44165893 50864576 63042896 72049024 88331786 101729152 126085792 144098048 164288039 176663572 203458304 252171584 309161251 328576078 353327144 504343168 618322502 657152156 706654288 1008686336 1150016273 1236645004 1314304312 1413308576 2300032546 2473290008 2628608624 2826617152 4600065092 4946580016 5257217248 5653234304 9200130184 9893160032 10514434496 11306468608 18400260368 19786320064 21028868992 36800520736 39572640128 42057737984 63908047171 73601041472 79145280256 127816094342 147202082944 255632188684 294404165888 447356330197 511264377368 894712660394 1022528754736 1789425320788 2045057509472 3578850641576 4090115018944 7157701283152 8180230037888 14315402566304 16360460075776 28630805132608 57261610265216 114523220530432