Search a number
-
+
304546212314013 = 319475379157172933
BaseRepresentation
bin100010100111110111011000…
…0110011010111101110011101
31110221022100000011110210021110
41011033232300303113232131
5304404141120323022023
62555414333135452233
7121101511021524165
oct10517566063275635
91427270004423243
10304546212314013
118904636139103a
122a1a711a387079
13100c177a475807
14552c1886415a5
152531e2c509a93
hex114fbb0cd7b9d

304546212314013 has 128 divisors (see below), whose sum is σ = 453265271193600. Its totient is φ = 181200020032512.

The previous prime is 304546212313991. The next prime is 304546212314161. The reversal of 304546212314013 is 310413212645403.

It is not a de Polignac number, because 304546212314013 - 217 = 304546212182941 is a prime.

It is a super-2 number, since 2×3045462123140132 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (304546212315013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1760978295 + ... + 1761151227.

It is an arithmetic number, because the mean of its divisors is an integer number (3541134931200).

Almost surely, 2304546212314013 is an apocalyptic number.

It is an amenable number.

304546212314013 is a deficient number, since it is larger than the sum of its proper divisors (148719058879587).

304546212314013 is a wasteful number, since it uses less digits than its factorization.

304546212314013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173291.

The product of its (nonzero) digits is 207360, while the sum is 39.

Adding to 304546212314013 its reverse (310413212645403), we get a palindrome (614959424959416).

The spelling of 304546212314013 in words is "three hundred four trillion, five hundred forty-six billion, two hundred twelve million, three hundred fourteen thousand, thirteen".

Divisors: 1 3 19 47 53 57 79 141 157 159 237 471 893 1007 1501 2491 2679 2983 3021 3713 4187 4503 7379 7473 8321 8949 11139 12403 12561 22137 24963 37209 47329 70547 79553 140201 141987 158099 172933 196789 211641 235657 238659 391087 420603 474297 518799 582941 590367 657359 706971 1173261 1748823 1972077 3285727 3738991 7430653 8127851 9165449 9857181 11075879 11216973 12489821 13661707 22291959 24383553 27150481 27496347 30895873 33227637 37469463 40985121 81451443 92687619 154429169 174143531 259572433 430776103 463287507 515859139 522430593 587021587 642100229 724070471 778717299 1276072607 1292328309 1438975493 1547577417 1761064761 1926300687 2144887999 2172211413 3828217821 4316926479 6434663997 8184745957 12199904351 13757338949 24245379533 24554237871 27340534367 34031312137 36599713053 40752871981 41272016847 67631848171 72736138599 82021603101 100809735953 102093936411 113679063947 122258615943 202895544513 302429207859 341037191841 646594930603 1285005115249 1915384983107 1939784791809 2159902214993 3855015345747 5342916005509 5746154949321 6479706644979 16028748016527 101515404104671 304546212314013