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14113404102300 = 22352181859302579
BaseRepresentation
bin1100110101100000100001…
…1100000010011010011100
31211222020011101202020121120
43031120020130002122130
53322213222422233200
650003335222330540
72654442211332366
oct315301034023234
954866141666546
1014113404102300
114551508753188
1216bb332589a50
137b4b71781c69
1436b1417a9d36
151971c6cad9a0
hexcd60870269c

14113404102300 has 144 divisors (see below), whose sum is σ = 41108325148800. Its totient is φ = 3738411705600.

The previous prime is 14113404102289. The next prime is 14113404102361. The reversal of 14113404102300 is 320140431141.

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, 46492411 + ... + 46794989.

It is an arithmetic number, because the mean of its divisors is an integer number (285474480200).

Almost surely, 214113404102300 is an apocalyptic number.

14113404102300 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 14113404102300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20554162574400).

14113404102300 is an abundant number, since it is smaller than the sum of its proper divisors (26994921046500).

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

14113404102300 is a wasteful number, since it uses less digits than its factorization.

14113404102300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303636 (or 303629 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 14113404102300 its reverse (320140431141), we get a palindrome (14433544533441).

The spelling of 14113404102300 in words is "fourteen trillion, one hundred thirteen billion, four hundred four million, one hundred two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 181 300 362 543 724 859 905 1086 1718 1810 2172 2577 2715 3436 3620 4295 4525 5154 5430 8590 9050 10308 10860 12885 13575 17180 18100 21475 25770 27150 42950 51540 54300 64425 85900 128850 155479 257700 302579 310958 466437 605158 621916 777395 907737 932874 1210316 1512895 1554790 1815474 1865748 2332185 3025790 3109580 3630948 3886975 4538685 4664370 6051580 7564475 7773950 9077370 9328740 11660925 15128950 15547900 18154740 22693425 23321850 30257900 45386850 46643700 54766799 90773700 109533598 164300397 219067196 259915361 273833995 328600794 519830722 547667990 657201588 779746083 821501985 1039661444 1095335980 1299576805 1369169975 1559492166 1643003970 2599153610 2738339950 3118984332 3286007940 3898730415 4107509925 5198307220 5476679900 6497884025 7797460830 8215019850 12995768050 15594921660 16430039700 19493652075 25991536100 38987304150 47044680341 77974608300 94089360682 141134041023 188178721364 235223401705 282268082046 470446803410 564536164092 705670205115 940893606820 1176117008525 1411340410230 2352234017050 2822680820460 3528351025575 4704468034100 7056702051150 14113404102300