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141220141022141 = 1014489693114289
BaseRepresentation
bin100000000111000001100000…
…010101110011101110111101
3200112000111212102211120211122
4200013001200111303232331
5122002222322100202031
61220203345343400325
741513550512614226
oct4007014025635675
9615014772746748
10141220141022141
1140aa7142007385
1213a094ab5b30a5
1360a500497a68c
1426c313c72a24d
15114d6d74ec47b
hex807060573bbd

141220141022141 has 8 divisors (see below), whose sum is σ = 142618723692600. Its totient is φ = 139821565478400.

The previous prime is 141220141022119. The next prime is 141220141022159.

It is a happy number.

141220141022141 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 40997717478916 + 100222423543225 = 6402946^2 + 10011115^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 141220141022141 - 238 = 140945263115197 is a prime.

It is a super-4 number, since 4×1412201410221414 (a number of 58 digits) contains 4444 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 141220141022141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141220141022161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43788725 + ... + 46903013.

It is an arithmetic number, because the mean of its divisors is an integer number (17827340461575).

Almost surely, 2141220141022141 is an apocalyptic number.

It is an amenable number.

141220141022141 is a deficient number, since it is larger than the sum of its proper divisors (1398582670459).

141220141022141 is a wasteful number, since it uses less digits than its factorization.

141220141022141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3563359.

The product of its (nonzero) digits is 1024, while the sum is 26.

The spelling of 141220141022141 in words is "one hundred forty-one trillion, two hundred twenty billion, one hundred forty-one million, twenty-two thousand, one hundred forty-one".

Divisors: 1 101 448969 3114289 45345869 314543189 1398219218041 141220141022141