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14110323203440 = 245319797760037
BaseRepresentation
bin1100110101010101000011…
…0011010101110101110000
31211221221012200111100220101
43031111100303111311300
53322140420220002230
650002105404122144
72654302651201102
oct315252063256560
954857180440811
1014110323203440
114550177658282
1216ba812836354
137b47a03b4199
1436ad2c545572
15197096589aca
hexcd550cd5d70

14110323203440 has 160 divisors (see below), whose sum is σ = 34249486892544. Its totient is φ = 5400127733760.

The previous prime is 14110323203413. The next prime is 14110323203443. The reversal of 14110323203440 is 4430232301141.

It is a happy number.

14110323203440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 14110323203399 and 14110323203408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14110323203443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 234997102 + ... + 235057138.

Almost surely, 214110323203440 is an apocalyptic number.

14110323203440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14110323203440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17124743446272).

14110323203440 is an abundant number, since it is smaller than the sum of its proper divisors (20139163689104).

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

14110323203440 is a wasteful number, since it uses less digits than its factorization.

14110323203440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61155 (or 61149 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 14110323203440 its reverse (4430232301141), we get a palindrome (18540555504581).

The spelling of 14110323203440 in words is "fourteen trillion, one hundred ten billion, three hundred twenty-three million, two hundred three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 97 124 155 194 248 310 388 485 496 620 776 970 977 1240 1552 1940 1954 2480 3007 3880 3908 4885 6014 7760 7816 9770 12028 15035 15632 19540 24056 30070 30287 39080 48112 60037 60140 60574 78160 94769 120074 120280 121148 151435 189538 240148 240560 242296 300185 302870 379076 473845 480296 484592 600370 605740 758152 947690 960592 1200740 1211480 1516304 1861147 1895380 2401480 2422960 2937839 3722294 3790760 4802960 5823589 5875678 7444588 7581520 9305735 11647178 11751356 14689195 14889176 18611470 23294356 23502712 29117945 29378390 29778352 37222940 46588712 47005424 58235890 58656149 58756780 74445880 93177424 116471780 117312298 117513560 148891760 180531259 232943560 234624596 235027120 293280745 361062518 465887120 469249192 586561490 722125036 902656295 938498384 1173122980 1444250072 1805312590 1818340619 2346245960 2888500144 3610625180 3636681238 4692491920 5689646453 7221250360 7273362476 9091703095 11379292906 14442500720 14546724952 18183406190 22758585812 28448232265 29093449904 36366812380 45517171624 56896464530 72733624760 91034343248 113792929060 145467249520 176379040043 227585858120 352758080086 455171716240 705516160172 881895200215 1411032320344 1763790400430 2822064640688 3527580800860 7055161601720 14110323203440