Search a number
-
+
154314141244304 = 24411930112187709
BaseRepresentation
bin100011000101100100001111…
…100100101001101110010000
3202020101021202211100011102212
4203011210033210221232100
5130211240330124304204
61304110534323131252
744334554163242516
oct4305441744515620
9666337684304385
10154314141244304
1145195294853298
1215383145813b28
1368149b8126912
142a16bb6a204b6
1512c90e92cbc6e
hex8c590f929b90

154314141244304 has 40 divisors (see below), whose sum is σ = 306291826302840. Its totient is φ = 75271284608000.

The previous prime is 154314141244303. The next prime is 154314141244313. The reversal of 154314141244304 is 403442141413451.

154314141244304 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1821279804304 + 152492861440000 = 1349548^2 + 12348800^2 .

It is a Harshad number since it is a multiple of its sum of digits (41).

It is not an unprimeable number, because it can be changed into a prime (154314141244303) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6567602 + ... + 18755310.

It is an arithmetic number, because the mean of its divisors is an integer number (7657295657571).

Almost surely, 2154314141244304 is an apocalyptic number.

It is an amenable number.

154314141244304 is a deficient number, since it is larger than the sum of its proper divisors (151977685058536).

154314141244304 is a wasteful number, since it uses less digits than its factorization.

154314141244304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12207059 (or 12207053 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 41.

Adding to 154314141244304 its reverse (403442141413451), we get a palindrome (557756282657755).

The spelling of 154314141244304 in words is "one hundred fifty-four trillion, three hundred fourteen billion, one hundred forty-one million, two hundred forty-four thousand, three hundred four".

Divisors: 1 2 4 8 16 41 82 164 328 656 19301 38602 77204 154408 308816 791341 1582682 3165364 6330728 12187709 12661456 24375418 48750836 97501672 195003344 499696069 999392138 1998784276 3997568552 7995137104 235234971409 470469942818 940939885636 1881879771272 3763759542544 9644633827769 19289267655538 38578535311076 77157070622152 154314141244304