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24146055064142 = 21183463252111329
BaseRepresentation
bin1010111110101111100010…
…00010001110101001001110
310011111100012002112012210222
411133113301002032221032
511131102110044023032
6123204313343031342
75041331516421404
oct537276102165116
9104440162465728
1024146055064142
11776a314663090
12285b800b9b552
131061c6a27963b
145d696504d474
152bd163425a12
hex15f5f108ea4e

24146055064142 has 64 divisors (see below), whose sum is σ = 40093572879360. Its totient is φ = 10814578790400.

The previous prime is 24146055064123. The next prime is 24146055064181.

24146055064142 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 24146055064093 and 24146055064102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2131343534 + ... + 2131354862.

It is an arithmetic number, because the mean of its divisors is an integer number (626462076240).

Almost surely, 224146055064142 is an apocalyptic number.

24146055064142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

24146055064142 is a deficient number, since it is larger than the sum of its proper divisors (15947517815218).

24146055064142 is a wasteful number, since it uses less digits than its factorization.

24146055064142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14409.

The product of its (nonzero) digits is 921600, while the sum is 44.

It can be divided in two parts, 2414605 and 5064142, that added together give a palindrome (7478747).

The spelling of 24146055064142 in words is "twenty-four trillion, one hundred forty-six billion, fifty-five million, sixty-four thousand, one hundred forty-two".

Divisors: 1 2 11 22 83 166 463 913 926 1826 2521 5042 5093 10186 11329 22658 27731 38429 55462 76858 124619 209243 249238 418486 422719 845438 940307 1167223 1880614 2301673 2334446 4603346 5245327 10343377 10490654 12839453 20686754 25678906 28560409 57120818 57698597 96879509 115397194 193759018 314164499 435362141 628328998 870724282 1065674599 2131349198 2370513947 4741027894 4788983551 9577967102 13223469367 26075653417 26446938734 52151306834 145458163037 290916326074 1097547957461 2195095914922 12073027532071 24146055064142