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21343344334312 = 23711134361982623
BaseRepresentation
bin1001101101001011000100…
…11101010001010111101000
32210120101220100211021121011
410312211202131101113220
510244142132122144222
6113220555205153304
74332001653326020
oct466454235212750
983511810737534
1021343344334312
116889730503120
1224885969bb834
13bba890296370
1453b048210a80
152702c91a1c77
hex1369627515e8

21343344334312 has 128 divisors (see below), whose sum is σ = 54981066792960. Its totient is φ = 7497417957120.

The previous prime is 21343344334303. The next prime is 21343344334339.

21343344334312 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30646968 + ... + 31335655.

It is an arithmetic number, because the mean of its divisors is an integer number (429539584320).

Almost surely, 221343344334312 is an apocalyptic number.

21343344334312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21343344334312 is an abundant number, since it is smaller than the sum of its proper divisors (33637722458648).

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

21343344334312 is a wasteful number, since it uses less digits than its factorization.

21343344334312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61982703 (or 61982699 counting only the distinct ones).

The product of its digits is 746496, while the sum is 40.

It can be divided in two parts, 2134334 and 4334312, that added together give a palindrome (6468646).

The spelling of 21343344334312 in words is "twenty-one trillion, three hundred forty-three billion, three hundred forty-four million, three hundred thirty-four thousand, three hundred twelve".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 43 44 52 56 77 86 88 91 104 143 154 172 182 286 301 308 344 364 473 559 572 602 616 728 946 1001 1118 1144 1204 1892 2002 2236 2408 3311 3784 3913 4004 4472 6149 6622 7826 8008 12298 13244 15652 24596 26488 31304 43043 49192 86086 172172 344344 61982623 123965246 247930492 433878361 495860984 681808853 805774099 867756722 1363617706 1611548198 1735513444 2665252789 2727235412 3223096396 3471026888 4772661971 5330505578 5454470824 5640418693 6446192792 8863515089 9545323942 10661011156 11280837386 17727030178 18656769523 19090647884 21322022312 22561674772 29317780679 34648286257 35454060356 37313539046 38181295768 45123349544 58635561358 62044605623 69296572514 70908120712 74627078092 117271122716 124089211246 138593145028 149254156184 205224464753 234542245432 242538003799 248178422492 277186290056 381131148827 410448929506 485076007598 496356844984 762262297654 820897859012 970152015196 1524524595308 1641795718024 1940304030392 2667918041789 3049049190616 5335836083578 10671672167156 21343344334312