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340342511140053 = 32598938364329243
BaseRepresentation
bin100110101100010100010101…
…0011110100111110011010101
31122122001102111210000021222100
41031120220222132213303111
5324102132430322440203
63203503105142552313
7131454635462304132
oct11530505236476325
91578042453007870
10340342511140053
11994974a2911594
12322087aa438699
13117ba212bb0606
146008945d31589
152953152decea3
hex1358a2a7a7cd5

340342511140053 has 96 divisors (see below), whose sum is σ = 507681080524800. Its totient is φ = 219617720669952.

The previous prime is 340342511140001. The next prime is 340342511140067. The reversal of 340342511140053 is 350041115243043.

340342511140053 is a `hidden beast` number, since 3 + 40 + 3 + 42 + 511 + 14 + 0 + 0 + 53 = 666.

It is not a de Polignac number, because 340342511140053 - 224 = 340342494362837 is a prime.

It is a super-3 number, since 3×3403425111400533 (a number of 45 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340342511190053) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11638412050 + ... + 11638441292.

It is an arithmetic number, because the mean of its divisors is an integer number (5288344588800).

Almost surely, 2340342511140053 is an apocalyptic number.

It is an amenable number.

340342511140053 is a deficient number, since it is larger than the sum of its proper divisors (167338569384747).

340342511140053 is a wasteful number, since it uses less digits than its factorization.

340342511140053 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30423 (or 30420 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 340342511140053 its reverse (350041115243043), we get a palindrome (690383626383096).

The spelling of 340342511140053 in words is "three hundred forty trillion, three hundred forty-two billion, five hundred eleven million, one hundred forty thousand, fifty-three".

Divisors: 1 3 9 59 89 177 267 383 531 643 801 1149 1929 3447 5251 5787 15753 22597 29243 34087 37937 47259 57227 67791 87729 102261 113811 171681 203373 246269 263187 306783 341433 515043 738807 1725337 2011133 2216421 2602627 3376393 5176011 6033399 7807881 10129179 11200069 14529871 15528033 18100197 18803249 21917941 23423643 30387537 33600207 43589613 56409747 65753823 100800621 130768839 153554993 169229241 197261469 460664979 660804071 996806141 1109391691 1293158519 1381994937 1673489161 1982412213 2990418423 3328175073 3879475557 5020467483 5947236639 7201644367 8971255269 9984525219 11638426671 15061402449 21604933101 58811562319 64814799303 98735860499 176434686957 296207581497 424897017653 529304060871 640946348663 888622744491 1274691052959 1922839045989 3824073158877 5768517137967 37815834571117 113447503713351 340342511140053