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14214000041241 = 371131346638389
BaseRepresentation
bin1100111011010111010001…
…1011000101110100011001
31212022211211002202102101220
43032311310123011310121
53330340233002304431
650121453234402253
72664633112604250
oct316656433056431
955284732672356
1014214000041241
11459013a513000
121716927a30389
137c14b38979a0
14371d65a37797
15199b134b2b96
hexced746c5d19

14214000041241 has 128 divisors (see below), whose sum is σ = 25664900997120. Its totient is φ = 6813630109440.

The previous prime is 14214000041221. The next prime is 14214000041243.

14214000041241 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 14214000041241 - 29 = 14214000040729 is a prime.

It is not an unprimeable number, because it can be changed into a prime (14214000041243) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1694357475 + ... + 1694365863.

It is an arithmetic number, because the mean of its divisors is an integer number (200507039040).

Almost surely, 214214000041241 is an apocalyptic number.

14214000041241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14214000041241 is a deficient number, since it is larger than the sum of its proper divisors (11450900955879).

14214000041241 is a wasteful number, since it uses less digits than its factorization.

14214000041241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13108 (or 13086 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

It can be divided in two parts, 142140000 and 41241, that added together give a palindrome (142181241).

The spelling of 14214000041241 in words is "fourteen trillion, two hundred fourteen billion, forty-one thousand, two hundred forty-one".

Divisors: 1 3 7 11 13 21 33 39 77 91 121 143 231 273 363 429 847 1001 1331 1573 2541 3003 3993 4663 4719 8389 9317 11011 13989 17303 25167 27951 32641 33033 51293 51909 58723 60619 92279 97923 109057 121121 153879 176169 181857 276837 327171 359051 363363 424333 564223 645953 666809 763399 1015069 1077153 1199627 1272999 1692669 1937859 2000427 2290197 3045207 3598881 3949561 4667663 6206453 7105483 7334899 8397389 11165759 11848683 13195897 14002989 18619359 21316449 22004697 25192167 33497277 39117907 39587691 43445171 51344293 78160313 80683889 92371279 117353721 130335513 145154867 154032879 234480939 242051667 273825349 277113837 430296977 435464601 508532791 564787223 821476047 1016084069 1290890931 1525598373 1694361669 3012078839 3048252207 3559729537 4733266747 5593860701 9036236517 10679188611 14199800241 16781582103 33132867229 39157024907 52065934217 61532467711 99398601687 117471074721 156197802651 184597403133 364461539519 430727273977 676857144821 1093384618557 1292181821931 2030571434463 4738000013747 14214000041241