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141421124141 = 1125343350929
BaseRepresentation
bin1000001110110101011…
…0110001101000101101
3111112000212210110120122
42003231112301220231
54304112301433031
6144545025254325
713134355502243
oct2035526615055
9445025713518
10141421124141
1154a815a0800
12234a97943a5
131044a12875b
146bb827c793
153a2a88a47b
hex20ed5b1a2d

141421124141 has 24 divisors (see below), whose sum is σ = 158748198840. Its totient is φ = 125845125120.

The previous prime is 141421124113. The next prime is 141421124147.

141421124141 is nontrivially palindromic in base 10.

141421124141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 10530025 + 141410594116 = 3245^2 + 376046^2 .

It is not a de Polignac number, because 141421124141 - 214 = 141421107757 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 141421124141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141421124147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2751365 + ... + 2802293.

It is an arithmetic number, because the mean of its divisors is an integer number (6614508285).

Almost surely, 2141421124141 is an apocalyptic number.

141421124141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

141421124141 is a deficient number, since it is larger than the sum of its proper divisors (17327074699).

141421124141 is a wasteful number, since it uses less digits than its factorization.

141421124141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51437 (or 51426 counting only the distinct ones).

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

It can be divided in two parts, 141421 and 124141, that added together give a palindrome (265562).

The spelling of 141421124141 in words is "one hundred forty-one billion, four hundred twenty-one million, one hundred twenty-four thousand, one hundred forty-one".

Divisors: 1 11 53 121 433 583 4763 6413 22949 50929 52393 252439 560219 2699237 2776829 6162409 22052257 29691607 242574827 326607677 1168769621 2668323097 12856465831 141421124141