Search a number
-
+
286065310944 = 25371725040731
BaseRepresentation
bin1000010100110101101…
…00100011110011100000
31000100101101100110221110
410022122310203303200
514141330204422234
6335225552223320
726444652010620
oct4123264436340
91010341313843
10286065310944
11100357457156
124753683ab40
1320c8bc0917a
14dbba5ca880
15769417c1e9
hex429ad23ce0

286065310944 has 96 divisors (see below), whose sum is σ = 908678082816. Its totient is φ = 76925122560.

The previous prime is 286065310903. The next prime is 286065311009. The reversal of 286065310944 is 449013560682.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2860653109442 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 286065310893 and 286065310902.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12508942 + ... + 12531789.

It is an arithmetic number, because the mean of its divisors is an integer number (9465396696).

Almost surely, 2286065310944 is an apocalyptic number.

286065310944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

286065310944 is an abundant number, since it is smaller than the sum of its proper divisors (622612771872).

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

286065310944 is a wasteful number, since it uses less digits than its factorization.

286065310944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25040768 (or 25040760 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The spelling of 286065310944 in words is "two hundred eighty-six billion, sixty-five million, three hundred ten thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 68 84 96 102 112 119 136 168 204 224 238 272 336 357 408 476 544 672 714 816 952 1428 1632 1904 2856 3808 5712 11424 25040731 50081462 75122193 100162924 150244386 175285117 200325848 300488772 350570234 400651696 425692427 525855351 600977544 701140468 801303392 851384854 1051710702 1201955088 1277077281 1402280936 1702769708 2103421404 2403910176 2554154562 2804561872 2979846989 3405539416 4206842808 5108309124 5609123744 5959693978 6811078832 8413685616 8939540967 10216618248 11919387956 13622157664 16827371232 17879081934 20433236496 23838775912 35758163868 40866472992 47677551824 71516327736 95355103648 143032655472 286065310944