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142643121346241 = 101167191319332287
BaseRepresentation
bin100000011011101110110000…
…100100111101011011000001
3200201001112211101100210122022
4200123232300210331123001
5122144031103031034431
61223213202330251225
742021424344034565
oct4033566044753301
9621045741323568
10142643121346241
11414a567633525a
1213bb9238886b15
13617925b544959
142731d6cd816a5
15117571cd8207b
hex81bbb093d6c1

142643121346241 has 32 divisors (see below), whose sum is σ = 145132232813568. Its totient is φ = 140177827238400.

The previous prime is 142643121346217. The next prime is 142643121346277.

142643121346241 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 142643121346241 - 242 = 138245074835137 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 142643121346192 and 142643121346201.

It is not an unprimeable number, because it can be changed into a prime (142643121346741) 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 31 ways as a sum of consecutive naturals, for example, 62371280600 + ... + 62371282886.

It is an arithmetic number, because the mean of its divisors is an integer number (4535382275424).

Almost surely, 2142643121346241 is an apocalyptic number.

It is an amenable number.

142643121346241 is a deficient number, since it is larger than the sum of its proper divisors (2489111467327).

142643121346241 is a wasteful number, since it uses less digits than its factorization.

142643121346241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6401.

The product of its digits is 663552, while the sum is 44.

The spelling of 142643121346241 in words is "one hundred forty-two trillion, six hundred forty-three billion, one hundred twenty-one million, three hundred forty-six thousand, two hundred forty-one".

Divisors: 1 101 167 1913 1933 2287 16867 193213 195233 230987 319471 322811 381929 3697829 4375031 4420771 32266571 32603911 38574829 373480729 441878131 446497871 617537443 730630177 738268757 8456934923 62371281743 73793647877 74565144457 854150427223 1412308132141 142643121346241