Search a number
-
+
403142040241304 = 23713242597426061
BaseRepresentation
bin101101110101001111101001…
…0000110100100010010011000
31221212102000001221022021020212
41123222133102012210102120
5410320034344300210204
63545224521353510252
7150626023401212210
oct13352372206442230
91855360057267225
10403142040241304
111074a9640908a51
123926b765712388
13143c4192536600
14717a270b01240
1531919b2754c6e
hex16ea7d21a4498

403142040241304 has 48 divisors (see below), whose sum is σ = 935439476321520. Its totient is φ = 159484763168640.

The previous prime is 403142040241289. The next prime is 403142040241307.

403142040241304 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (403142040241307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21298703567 + ... + 21298722494.

It is an arithmetic number, because the mean of its divisors is an integer number (19488322423365).

Almost surely, 2403142040241304 is an apocalyptic number.

It is an amenable number.

403142040241304 is an abundant number, since it is smaller than the sum of its proper divisors (532297436080216).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

403142040241304 is a wasteful number, since it uses less digits than its factorization.

403142040241304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42597426100 (or 42597426083 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

The spelling of 403142040241304 in words is "four hundred three trillion, one hundred forty-two billion, forty million, two hundred forty-one thousand, three hundred four".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 169 182 338 364 676 728 1183 1352 2366 4732 9464 42597426061 85194852122 170389704244 298181982427 340779408488 553766538793 596363964854 1107533077586 1192727929708 2215066155172 2385455859416 3876365771551 4430132310344 7198965004309 7752731543102 14397930008618 15505463086204 28795860017236 31010926172408 50392755030163 57591720034472 100785510060326 201571020120652 403142040241304