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999142184041 = 192526092
BaseRepresentation
bin11101000101000011000…
…00111101010001101001
310112111221221021212012121
432202201200331101221
5112332220344342131
62042555524311241
7132120450302611
oct16424140752151
93474857255177
10999142184041
11355808796091
12141782842521
13732ac651b31
143650454ba41
151aecb2bd911
hexe8a183d469

999142184041 has 9 divisors (see below), whose sum is σ = 1054516366071. Its totient is φ = 946537761024.

The previous prime is 999142183997. The next prime is 999142184057. The reversal of 999142184041 is 140481241999.

It is a happy number.

The square root of 999142184041 is 999571.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 952226624041 + 46915560000 = 975821^2 + 216600^2 .

It is not a de Polignac number, because 999142184041 - 217 = 999142052969 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 999142184041.

It is not an unprimeable number, because it can be changed into a prime (999142184141) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 18965545 + ... + 19018153.

It is an arithmetic number, because the mean of its divisors is an integer number (117168485119).

Almost surely, 2999142184041 is an apocalyptic number.

999142184041 is the 999571-st square number.

999142184041 is the 499786-th centered octagonal number.

It is an amenable number.

999142184041 is a deficient number, since it is larger than the sum of its proper divisors (55374182030).

999142184041 is an frugal number, since it uses more digits than its factorization.

999142184041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105256 (or 52628 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 52.

The spelling of 999142184041 in words is "nine hundred ninety-nine billion, one hundred forty-two million, one hundred eighty-four thousand, forty-one".

Divisors: 1 19 361 52609 999571 18991849 2767706881 52586430739 999142184041