Search a number
-
+
300145323403296 = 25327197835874149
BaseRepresentation
bin100010000111110110000011…
…1011000011110100000100000
31110100201121112122120101002100
41010033230013120132200200
5303320040110242401141
62542204505201050400
7120135532626145440
oct10417540730364040
91410647478511070
10300145323403296
11876a9a0a31a318
12297b6211626a00
13cb62775b28997
14541917b06c120
1524a7706aba0b6
hex110fb0761e820

300145323403296 has 144 divisors (see below), whose sum is σ = 1026812948616000. Its totient is φ = 81242343166464.

The previous prime is 300145323403291. The next prime is 300145323403297. The reversal of 300145323403296 is 692304323541003.

It is a happy number.

300145323403296 is a `hidden beast` number, since 3 + 0 + 0 + 14 + 5 + 3 + 2 + 340 + 3 + 296 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (300145323403291) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3917898771 + ... + 3917975378.

It is an arithmetic number, because the mean of its divisors is an integer number (7130645476500).

Almost surely, 2300145323403296 is an apocalyptic number.

300145323403296 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

300145323403296 is an abundant number, since it is smaller than the sum of its proper divisors (726667625212704).

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

300145323403296 is a wasteful number, since it uses less digits than its factorization.

300145323403296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7835874191 (or 7835874180 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 45.

Adding to 300145323403296 its reverse (692304323541003), we get a palindrome (992449646944299).

The spelling of 300145323403296 in words is "three hundred trillion, one hundred forty-five billion, three hundred twenty-three million, four hundred three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 28 32 36 38 42 48 56 57 63 72 76 84 96 112 114 126 133 144 152 168 171 224 228 252 266 288 304 336 342 399 456 504 532 608 672 684 798 912 1008 1064 1197 1368 1596 1824 2016 2128 2394 2736 3192 4256 4788 5472 6384 9576 12768 19152 38304 7835874149 15671748298 23507622447 31343496596 47015244894 54851119043 62686993192 70522867341 94030489788 109702238086 125373986384 141045734682 148881608831 164553357129 188060979576 219404476172 250747972768 282091469364 297763217662 329106714258 376121959152 438808952344 446644826493 493660071387 564182938728 595526435324 658213428516 752243918304 877617904688 893289652986 987320142774 1042171261817 1128365877456 1191052870648 1316426857032 1339934479479 1755235809376 1786579305972 1974640285548 2084342523634 2256731754912 2382105741296 2632853714064 2679868958958 3126513785451 3573158611944 3949280571096 4168685047268 4764211482592 5265707428128 5359737917916 6253027570902 7146317223888 7898561142192 8337370094536 9379541356353 10719475835832 12506055141804 14292634447776 15797122284384 16674740189072 18759082712706 21438951671664 25012110283608 33349480378144 37518165425412 42877903343328 50024220567216 75036330850824 100048441134432 150072661701648 300145323403296