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404201302441141 = 1514496738858483
BaseRepresentation
bin101101111100111100111001…
…1000011001011110010110101
31222000011021012202000100221011
41123321321303003023302311
5410434413231411104031
63551355303114552221
7151065403036311112
oct13371716303136265
91860137182010834
10404201302441141
1110787789a7a37a7
1239400b06438671
131447003344678a
1471b5639a23909
1531ae30ba816b1
hex16f9e730cbcb5

404201302441141 has 16 divisors (see below), whose sum is σ = 408390285974400. Its totient is φ = 400034873548800.

The previous prime is 404201302441133. The next prime is 404201302441171. The reversal of 404201302441141 is 141144203102404.

It is a cyclic number.

It is not a de Polignac number, because 404201302441141 - 23 = 404201302441133 is a prime.

It is a super-2 number, since 2×4042013024411412 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404201302441171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41199486 + ... + 50057968.

It is an arithmetic number, because the mean of its divisors is an integer number (25524392873400).

Almost surely, 2404201302441141 is an apocalyptic number.

It is an amenable number.

404201302441141 is a deficient number, since it is larger than the sum of its proper divisors (4188983533259).

404201302441141 is a wasteful number, since it uses less digits than its factorization.

404201302441141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8859756.

The product of its (nonzero) digits is 12288, while the sum is 31.

Adding to 404201302441141 its reverse (141144203102404), we get a palindrome (545345505543545).

The spelling of 404201302441141 in words is "four hundred four trillion, two hundred one billion, three hundred two million, four hundred forty-one thousand, one hundred forty-one".

Divisors: 1 151 449 673 67799 101623 302177 8858483 45628727 1337630933 3977458867 5961759059 600596288917 900225617909 2676829817491 404201302441141