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114102443004432 = 243191122391016891
BaseRepresentation
bin11001111100011010001011…
…100101010101001000010000
3112222000002100102211022100120
4121330122023211111020100
5104423423300402120212
61042401534430550240
733014425622635251
oct3174321345251020
9488002312738316
10114102443004432
11333a1635482293
1210969999368380
134b88a77a7147c
142026832956b28
15d2d0ee12588c
hex67c68b955210

114102443004432 has 80 divisors (see below), whose sum is σ = 296332416368640. Its totient is φ = 37831887452800.

The previous prime is 114102443004419. The next prime is 114102443004481. The reversal of 114102443004432 is 234400344201411.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 114102443004393 and 114102443004402.

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, 111698707 + ... + 112715597.

It is an arithmetic number, because the mean of its divisors is an integer number (3704155204608).

Almost surely, 2114102443004432 is an apocalyptic number.

114102443004432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

114102443004432 is an abundant number, since it is smaller than the sum of its proper divisors (182229973364208).

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

114102443004432 is a wasteful number, since it uses less digits than its factorization.

114102443004432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1029332 (or 1029326 counting only the distinct ones).

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

Adding to 114102443004432 its reverse (234400344201411), we get a palindrome (348502787205843).

The spelling of 114102443004432 in words is "one hundred fourteen trillion, one hundred two billion, four hundred forty-three million, four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 191 382 573 764 1146 1528 2292 3056 4584 9168 12239 24478 36717 48956 73434 97912 146868 195824 293736 587472 1016891 2033782 2337649 3050673 4067564 4675298 6101346 7012947 8135128 9350596 12202692 14025894 16270256 18701192 24405384 28051788 37402384 48810768 56103576 112207152 194226181 388452362 582678543 776904724 1165357086 1553809448 2330714172 3107618896 4661428344 9322856688 12445728949 24891457898 37337186847 49782915796 74674373694 99565831592 149348747388 199131663184 298697494776 597394989552 2377134229259 4754268458518 7131402687777 9508536917036 14262805375554 19017073834072 28525610751108 38034147668144 57051221502216 114102443004432