Search a number
-
+
230856357720144 = 243134637511063987
BaseRepresentation
bin110100011111011001101111…
…001100100011000001010000
31010021101122121111110101010110
4310133121233030203001100
5220224322310034021034
62134553540250401320
766424551516360042
oct6437315714430120
91107348544411113
10230856357720144
11676156a457a412
1221a85613130240
139ba78796403a0
144101716191a92
151ba5184c48de9
hexd1f66f323050

230856357720144 has 160 divisors (see below), whose sum is σ = 644499035643904. Its totient is φ = 70784860608000.

The previous prime is 230856357720139. The next prime is 230856357720151. The reversal of 230856357720144 is 441027753658032.

It is a super-2 number, since 2×2308563577201442 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 216440919 + ... + 217504905.

Almost surely, 2230856357720144 is an apocalyptic number.

230856357720144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230856357720144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322249517821952).

230856357720144 is an abundant number, since it is smaller than the sum of its proper divisors (413642677923760).

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

230856357720144 is a wasteful number, since it uses less digits than its factorization.

230856357720144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1065225 (or 1065219 counting only the distinct ones).

The product of its (nonzero) digits is 33868800, while the sum is 57.

The spelling of 230856357720144 in words is "two hundred thirty trillion, eight hundred fifty-six billion, three hundred fifty-seven million, seven hundred twenty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 463 624 751 926 1389 1502 1852 2253 2778 3004 3704 4506 5556 6008 6019 7408 9012 9763 11112 12016 12038 18024 18057 19526 22224 24076 29289 36048 36114 39052 48152 58578 72228 78104 96304 117156 144456 156208 234312 288912 347713 468624 695426 1043139 1063987 1390852 2086278 2127974 2781704 3191961 4172556 4255948 4520269 5563408 6383922 8345112 8511896 9040538 12767844 13560807 13831831 16690224 17023792 18081076 25535688 27121614 27663662 36162152 41495493 51071376 54243228 55327324 72324304 82990986 108486456 110654648 165981972 216972912 221309296 331963944 492625981 663927888 799054237 985251962 1477877943 1598108474 1970503924 2397162711 2955755886 3196216948 3941007848 4794325422 5911511772 6392433896 6404137753 7882015696 9588650844 10387705081 11823023544 12784867792 12808275506 19177301688 19212413259 20775410162 23646047088 25616551012 31163115243 38354603376 38424826518 41550820324 51233102024 62326230486 76849653036 83101640648 102466204048 124652460972 153699306072 166203281296 249304921944 307398612144 369962111731 498609843888 739924223462 1109886335193 1479848446924 2219772670386 2959696893848 4439545340772 4809507452503 5919393787696 8879090681544 9619014905006 14428522357509 17758181363088 19238029810012 28857044715018 38476059620024 57714089430036 76952119240048 115428178860072 230856357720144