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10423212505344 = 283242411066721
BaseRepresentation
bin1001011110101101011111…
…1000001111100100000000
31100220110010121020001221100
42113223113320033210000
52331233214400132334
634100205133454400
72124023631315102
oct227532770174400
940813117201840
1010423212505344
1133595067aa231
121204108941400
135a7b9b89b012
142806b40d9572
151311e9625c99
hex97ad7e0f900

10423212505344 has 108 divisors (see below), whose sum is σ = 30059805671532. Its totient is φ = 3473581670400.

The previous prime is 10423212505313. The next prime is 10423212505351. The reversal of 10423212505344 is 44350521232401.

It is a happy number.

10423212505344 is a `hidden beast` number, since 1 + 0 + 42 + 3 + 21 + 250 + 5 + 344 = 666.

10423212505344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 5063580057600 + 5359632447744 = 2250240^2 + 2315088^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10423212505299 and 10423212505308.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9237904 + ... + 10304624.

Almost surely, 210423212505344 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 10423212505344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15029902835766).

10423212505344 is an abundant number, since it is smaller than the sum of its proper divisors (19636593166188).

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

10423212505344 is a wasteful number, since it uses less digits than its factorization.

10423212505344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1070984 (or 1070967 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 10423212505344 its reverse (44350521232401), we get a palindrome (54773733737745).

The spelling of 10423212505344 in words is "ten trillion, four hundred twenty-three billion, two hundred twelve million, five hundred five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 4241 8482 12723 16964 25446 33928 38169 50892 67856 76338 101784 135712 152676 203568 271424 305352 407136 542848 610704 814272 1066721 1085696 1221408 1628544 2133442 2442816 3200163 3257088 4266884 4885632 6400326 8533768 9600489 9771264 12800652 17067536 19200978 25601304 34135072 38401956 51202608 68270144 76803912 102405216 136540288 153607824 204810432 273080576 307215648 409620864 614431296 819241728 1228862592 2457725184 4523963761 9047927522 13571891283 18095855044 27143782566 36191710088 40715673849 54287565132 72383420176 81431347698 108575130264 144766840352 162862695396 217150260528 289533680704 325725390792 434300521056 579067361408 651450781584 868601042112 1158134722816 1302901563168 1737202084224 2605803126336 3474404168448 5211606252672 10423212505344