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4141141235001 = 323041151307729
BaseRepresentation
bin111100010000101111010…
…000001001010100111001
3112122220000020211022210100
4330100233100021110321
51020322024124010001
612450225232310013
7605121224466141
oct74205720112471
915586006738710
104141141235001
1113572802a4531
1256a6b79a2309
1324067ac480c4
1410460a361921
1572ac1eaa586
hex3c42f409539

4141141235001 has 12 divisors (see below), whose sum is σ = 5983615490580. Its totient is φ = 2759852958720.

The previous prime is 4141141234987. The next prime is 4141141235059. The reversal of 4141141235001 is 1005321411414.

It is a happy number.

4141141235001 is a `hidden beast` number, since 4 + 14 + 1 + 141 + 2 + 3 + 500 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3905504775225 + 235636459776 = 1976235^2 + 485424^2 .

It is not a de Polignac number, because 4141141235001 - 235 = 4106781496633 is a prime.

It is a super-3 number, since 3×41411412350013 (a number of 39 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (4141141235501) 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 11 ways as a sum of consecutive naturals, for example, 75626496 + ... + 75681233.

It is an arithmetic number, because the mean of its divisors is an integer number (498634624215).

Almost surely, 24141141235001 is an apocalyptic number.

It is an amenable number.

4141141235001 is a deficient number, since it is larger than the sum of its proper divisors (1842474255579).

4141141235001 is a wasteful number, since it uses less digits than its factorization.

4141141235001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151310776 (or 151310773 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 4141141235001 its reverse (1005321411414), we get a palindrome (5146462646415).

The spelling of 4141141235001 in words is "four trillion, one hundred forty-one billion, one hundred forty-one million, two hundred thirty-five thousand, one".

Divisors: 1 3 9 3041 9123 27369 151307729 453923187 1361769561 460126803889 1380380411667 4141141235001