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14450358361660 = 22513431737774381
BaseRepresentation
bin1101001001000111110001…
…1110100001111000111100
31220011102220022122011011021
43102101330132201320330
53343223313220033120
650422223013433524
73021001231305364
oct322217436417074
956142808564137
1014450358361660
1146713a96364a1
1217546ab93b8a4
1380a880655110
1437d5887a79a4
151a0d48877aaa
hexd247c7a1e3c

14450358361660 has 96 divisors (see below), whose sum is σ = 33442416165312. Its totient is φ = 5211065180160.

The previous prime is 14450358361603. The next prime is 14450358361721. The reversal of 14450358361660 is 6616385305441.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 14450358361598 and 14450358361607.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 194237670 + ... + 194312050.

It is an arithmetic number, because the mean of its divisors is an integer number (348358501722).

Almost surely, 214450358361660 is an apocalyptic number.

14450358361660 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 14450358361660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16721208082656).

14450358361660 is an abundant number, since it is smaller than the sum of its proper divisors (18992057803652).

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

14450358361660 is a wasteful number, since it uses less digits than its factorization.

14450358361660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91823 (or 91821 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 52.

The spelling of 14450358361660 in words is "fourteen trillion, four hundred fifty billion, three hundred fifty-eight million, three hundred sixty-one thousand, six hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 43 52 65 86 130 172 215 260 430 559 860 1118 2236 2795 5590 11180 17377 34754 69508 74381 86885 148762 173770 225901 297524 347540 371905 451802 743810 747211 903604 966953 1129505 1487620 1494422 1933906 2259010 2988844 3198383 3736055 3867812 4518020 4834765 6396766 7472110 9669530 9713743 12793532 14944220 15991915 19339060 19427486 31983830 38854972 41578979 48568715 63967660 83157958 97137430 166315916 194274860 207894895 415789790 831579580 1292518637 2585037274 5170074548 6462593185 12925186370 16802742281 25850372740 33605484562 55578301391 67210969124 84013711405 111156602782 168027422810 222313205564 277891506955 336054845620 555783013910 722517918083 1111566027820 1445035836166 2890071672332 3612589590415 7225179180830 14450358361660