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14111555214141 = 3271143151979091
BaseRepresentation
bin1100110101011001101000…
…1111000101101100111101
31211222001101112201222212100
43031112122033011230331
53322200431113323031
650002431534255313
72654345331131040
oct315263217055475
954861345658770
1014111555214141
11455074a038140
1216baab7357539
137b49387058b8
1436b008008c57
151971197e9de6
hexcd59a3c5b3d

14111555214141 has 96 divisors (see below), whose sum is σ = 25479683813376. Its totient is φ = 7311457872000.

The previous prime is 14111555214139. The next prime is 14111555214167. The reversal of 14111555214141 is 14141255511141.

14111555214141 is a `hidden beast` number, since 1 + 4 + 1 + 1 + 1 + 55 + 521 + 41 + 41 = 666.

It is not a de Polignac number, because 14111555214141 - 21 = 14111555214139 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 14111555214096 and 14111555214105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14111555214101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1552251006 + ... + 1552260096.

It is an arithmetic number, because the mean of its divisors is an integer number (265413373056).

Almost surely, 214111555214141 is an apocalyptic number.

14111555214141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14111555214141 is a deficient number, since it is larger than the sum of its proper divisors (11368128599235).

14111555214141 is a wasteful number, since it uses less digits than its factorization.

14111555214141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14743 (or 14740 counting only the distinct ones).

The product of its digits is 16000, while the sum is 36.

The spelling of 14111555214141 in words is "fourteen trillion, one hundred eleven billion, five hundred fifty-five million, two hundred fourteen thousand, one hundred forty-one".

Divisors: 1 3 7 9 11 21 33 63 77 99 231 431 693 1293 3017 3879 4741 5197 9051 9091 14223 15591 27153 27273 33187 36379 42669 46773 57167 63637 81819 99561 100001 109137 171501 190911 298683 300003 327411 400169 514503 572733 700007 900009 1200507 2100021 2239907 3601521 3918221 6300063 6719721 11754663 15679349 20159163 24638977 27427547 35263989 43100431 47038047 47245927 73916931 82282641 129301293 141114141 141737781 172472839 221750793 246847923 301703017 330721489 387903879 425213343 517418517 519705197 905109051 992164467 1552255551 1559115591 2715327153 2976493401 3637936379 4677346773 10913809137 20362994537 32741427411 61088983611 142540961759 183266950833 223992939907 427622885277 671978819721 1282868655831 1567950579349 2015936459163 4703851738047 14111555214141