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404144131333141 = 292480551880301
BaseRepresentation
bin101101111100100010010001…
…1011000101101110000010101
31221222221210122101111011110201
41123321010203120231300111
5410432444140110130031
63551313130103420501
7151061310220024003
oct13371044330556025
91858853571434421
10404144131333141
11107855622138111
12393b1a0ba54731
1314467821ac13a4
1471b2974b55a73
1531acab2873d61
hex16f912362dc15

404144131333141 has 6 divisors (see below), whose sum is σ = 418560687743042. Its totient is φ = 390208126803600.

The previous prime is 404144131333127. The next prime is 404144131333219. The reversal of 404144131333141 is 141333131441404.

It can be written as a sum of positive squares in 3 ways, for example, as 138392872402500 + 265751258930641 = 11764050^2 + 16301879^2 .

It is not a de Polignac number, because 404144131333141 - 25 = 404144131333109 is a prime.

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 404144131333141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404144131333441) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 240275939310 + ... + 240275940991.

Almost surely, 2404144131333141 is an apocalyptic number.

It is an amenable number.

404144131333141 is a deficient number, since it is larger than the sum of its proper divisors (14416556409901).

404144131333141 is an equidigital number, since it uses as much as digits as its factorization.

404144131333141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480551880359 (or 480551880330 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 37.

Adding to 404144131333141 its reverse (141333131441404), we get a palindrome (545477262774545).

The spelling of 404144131333141 in words is "four hundred four trillion, one hundred forty-four billion, one hundred thirty-one million, three hundred thirty-three thousand, one hundred forty-one".

Divisors: 1 29 841 480551880301 13936004528729 404144131333141