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32223145611141 = 3214833181758963
BaseRepresentation
bin1110101001110100010010…
…01001011100111110000101
311020002111120102101011110200
413110322021021130332011
513210421000234024031
6152311035253041113
76534021405321162
oct724721111347605
9136074512334420
1032223145611141
11a2a3839707291
12374508a326199
1314c98252a4c84
147d5873cb1069
153ad2e81ee8e6
hex1d4e8925cf85

32223145611141 has 24 divisors (see below), whose sum is σ = 46590632358816. Its totient is φ = 21460834530720.

The previous prime is 32223145611089. The next prime is 32223145611157. The reversal of 32223145611141 is 14111654132223.

32223145611141 is a `hidden beast` number, since 3 + 2 + 2 + 2 + 31 + 4 + 5 + 611 + 1 + 4 + 1 = 666.

It is not a de Polignac number, because 32223145611141 - 218 = 32223145348997 is a prime.

It is a super-2 number, since 2×322231456111412 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 32223145611096 and 32223145611105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32223145611341) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 42077326 + ... + 42836288.

It is an arithmetic number, because the mean of its divisors is an integer number (1941276348284).

Almost surely, 232223145611141 is an apocalyptic number.

It is an amenable number.

32223145611141 is a deficient number, since it is larger than the sum of its proper divisors (14367486747675).

32223145611141 is a wasteful number, since it uses less digits than its factorization.

32223145611141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763633 (or 763630 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

Adding to 32223145611141 its reverse (14111654132223), we get a palindrome (46334799743364).

The spelling of 32223145611141 in words is "thirty-two trillion, two hundred twenty-three billion, one hundred forty-five million, six hundred eleven thousand, one hundred forty-one".

Divisors: 1 3 9 1483 3181 4449 9543 13347 28629 758963 2276889 4717423 6830667 14152269 42456807 1125542129 2414261303 3376626387 7242783909 10129879161 21728351727 3580349512349 10741048537047 32223145611141