Search a number
-
+
286144716320 = 2553157690467
BaseRepresentation
bin1000010100111111000…
…11011101111000100000
31000100120220202200122022
410022133203131320200
514142011021410240
6335241510201012
726446634646311
oct4123743357040
91010526680568
10286144716320
11100398261631
1247559353168
1320ca24bb9b8
14dbc6d7a608
15769b1149b5
hex429f8dde20

286144716320 has 48 divisors (see below), whose sum is σ = 697823900928. Its totient is φ = 110765694720.

The previous prime is 286144716301. The next prime is 286144716353. The reversal of 286144716320 is 23617441682.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28840274 + ... + 28850193.

It is an arithmetic number, because the mean of its divisors is an integer number (14537997936).

Almost surely, 2286144716320 is an apocalyptic number.

286144716320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

286144716320 is an abundant number, since it is smaller than the sum of its proper divisors (411679184608).

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

286144716320 is a wasteful number, since it uses less digits than its factorization.

286144716320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57690513 (or 57690505 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 44.

The spelling of 286144716320 in words is "two hundred eighty-six billion, one hundred forty-four million, seven hundred sixteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 80 124 155 160 248 310 496 620 992 1240 2480 4960 57690467 115380934 230761868 288452335 461523736 576904670 923047472 1153809340 1788404477 1846094944 2307618680 3576808954 4615237360 7153617908 8942022385 9230474720 14307235816 17884044770 28614471632 35768089540 57228943264 71536179080 143072358160 286144716320