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10243322244414 = 23273112543102793
BaseRepresentation
bin1001010100001111010110…
…0101010110110100111110
31100021020210201221222101200
42111003311211112310332
52320311310443310124
633441414533120330
72105025034322010
oct225036545266476
940236721858350
1010243322244414
11329a1944006a6
121195283a890a6
13593c308ca13c
14275acab081b0
1512b6bb897bc9
hex950f5956d3e

10243322244414 has 96 divisors (see below), whose sum is σ = 25456228521984. Its totient is φ = 2916077466240.

The previous prime is 10243322244403. The next prime is 10243322244461. The reversal of 10243322244414 is 41444222334201.

10243322244414 is a `hidden beast` number, since 10 + 2 + 4 + 3 + 3 + 2 + 224 + 4 + 414 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 99598602 + ... + 99701394.

It is an arithmetic number, because the mean of its divisors is an integer number (265169047104).

Almost surely, 210243322244414 is an apocalyptic number.

10243322244414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10243322244414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12728114260992).

10243322244414 is an abundant number, since it is smaller than the sum of its proper divisors (15212906277570).

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

10243322244414 is a wasteful number, since it uses less digits than its factorization.

10243322244414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105662 (or 105659 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 10243322244414 its reverse (41444222334201), we get a palindrome (51687544578615).

The spelling of 10243322244414 in words is "ten trillion, two hundred forty-three billion, three hundred twenty-two million, two hundred forty-four thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 311 622 933 1866 2177 2543 2799 4354 5086 5598 6531 7629 13062 15258 17801 19593 22887 35602 39186 45774 53403 102793 106806 160209 205586 308379 320418 616758 719551 790873 925137 1439102 1581746 1850274 2158653 2372619 4317306 4745238 5536111 6475959 7117857 11072222 12951918 14235714 16608333 31968623 33216666 49824999 63937246 95905869 99649998 191811738 223780361 261402599 287717607 447560722 522805198 575435214 671341083 784207797 1342682166 1568415594 1829818193 2014023249 2352623391 3659636386 4028046498 4705246782 5489454579 10978909158 16468363737 32936727474 81296208289 162592416578 243888624867 487777249734 569073458023 731665874601 1138146916046 1463331749202 1707220374069 3414440748138 5121661122207 10243322244414