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14214201132141 = 338312894920709
BaseRepresentation
bin1100111011011000000001…
…1010001100010001101101
31212022212100010010220021000
43032312000122030101231
53330341140442212031
650121525220430513
72664641104054143
oct316660032142155
955285303126230
1014214201132141
114590232a8062a
121716983248439
137c151644469a
14371d84621593
15199b25e853e6
hexced8068c46d

14214201132141 has 32 divisors (see below), whose sum is σ = 21328325424000. Its totient is φ = 9354698930304.

The previous prime is 14214201132139. The next prime is 14214201132169. The reversal of 14214201132141 is 14123110241241.

14214201132141 is a `hidden beast` number, since 1 + 4 + 21 + 420 + 1 + 1 + 3 + 214 + 1 = 666.

It is not a de Polignac number, because 14214201132141 - 21 = 14214201132139 is a prime.

It is a super-2 number, since 2×142142011321412 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14214201132041) 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, 428295 + ... + 5349003.

It is an arithmetic number, because the mean of its divisors is an integer number (666510169500).

Almost surely, 214214201132141 is an apocalyptic number.

It is an amenable number.

14214201132141 is a deficient number, since it is larger than the sum of its proper divisors (7114124291859).

14214201132141 is a wasteful number, since it uses less digits than its factorization.

14214201132141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4922090 (or 4922084 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 14214201132141 its reverse (14123110241241), we get a palindrome (28337311373382).

The spelling of 14214201132141 in words is "fourteen trillion, two hundred fourteen billion, two hundred one million, one hundred thirty-two thousand, one hundred forty-one".

Divisors: 1 3 9 27 83 249 747 1289 2241 3867 11601 34803 106987 320961 962883 2888649 4920709 14762127 44286381 132859143 408418847 1225256541 3675769623 6342793901 11027308869 19028381703 57085145109 171255435327 526451893783 1579355681349 4738067044047 14214201132141