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141330404033141 = 1861184134124437
BaseRepresentation
bin100000001000101000001100…
…100001110100001001110101
3200112102001110212010220110212
4200020220030201310021311
5122011024131413030031
61220330142530355205
741524533110006501
oct4010501441641165
9615361425126425
10141330404033141
1141039984667554
1213a2694242bb05
1360b25277c419b
1426c85dc815301
1511514dc74912b
hex808a0c874275

141330404033141 has 8 divisors (see below), whose sum is σ = 141414061280184. Its totient is φ = 141246755075520.

The previous prime is 141330404033069. The next prime is 141330404033173.

141330404033141 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 435165828241 + 140895238204900 = 659671^2 + 11869930^2 .

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 141330404033141 - 210 = 141330404032117 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 141330404033098 and 141330404033107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141330404036141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32204375 + ... + 36328811.

It is an arithmetic number, because the mean of its divisors is an integer number (17676757660023).

Almost surely, 2141330404033141 is an apocalyptic number.

It is an amenable number.

141330404033141 is a deficient number, since it is larger than the sum of its proper divisors (83657247043).

141330404033141 is a wasteful number, since it uses less digits than its factorization.

141330404033141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4144711.

The product of its (nonzero) digits is 20736, while the sum is 32.

It can be divided in two parts, 14133040 and 4033141, that added together give a palindrome (18166181).

The spelling of 141330404033141 in words is "one hundred forty-one trillion, three hundred thirty billion, four hundred four million, thirty-three thousand, one hundred forty-one".

Divisors: 1 1861 18413 4124437 34266593 7675577257 75943258481 141330404033141