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13411211143410 = 23352313963154667
BaseRepresentation
bin1100001100101000101001…
…1110011110100011110010
31202111002200100210222211000
43003022022132132203302
53224212130023042120
644305005250302430
72552633212553613
oct303121236364362
952432610728730
1013411211143410
114300732074073
121607223587a16
13763896baa512
1434516b13bc0a
15183cca42a990
hexc328a79e8f2

13411211143410 has 128 divisors (see below), whose sum is σ = 37321066690560. Its totient is φ = 3420563560128.

The previous prime is 13411211143409. The next prime is 13411211143489. The reversal of 13411211143410 is 1434111211431.

13411211143410 is a `hidden beast` number, since 1 + 3 + 4 + 1 + 1 + 211 + 1 + 434 + 10 = 666.

13411211143410 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 86632897 + ... + 86787563.

It is an arithmetic number, because the mean of its divisors is an integer number (291570833520).

Almost surely, 213411211143410 is an apocalyptic number.

13411211143410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13411211143410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18660533345280).

13411211143410 is an abundant number, since it is smaller than the sum of its proper divisors (23909855547150).

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

13411211143410 is a wasteful number, since it uses less digits than its factorization.

13411211143410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168669 (or 168663 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 13411211143410 its reverse (1434111211431), we get a palindrome (14845322354841).

The spelling of 13411211143410 in words is "thirteen trillion, four hundred eleven billion, two hundred eleven million, one hundred forty-three thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 23 27 30 45 46 54 69 90 115 135 138 207 230 270 345 414 621 690 1035 1242 2070 3105 6210 13963 27926 41889 69815 83778 125667 139630 154667 209445 251334 309334 321149 377001 418890 464001 628335 642298 754002 773335 928002 963447 1256670 1392003 1546670 1605745 1885005 1926894 2320005 2784006 2890341 3211490 3557341 3770010 4176009 4640010 4817235 5780682 6960015 7114682 8352018 8671023 9634470 10672023 13920030 14451705 17342046 17786705 20880045 21344046 28903410 32016069 35573410 41760090 43355115 53360115 64032138 86710230 96048207 106720230 160080345 192096414 320160690 480241035 960482070 2159615321 4319230642 6478845963 10798076605 12957691926 19436537889 21596153210 32394229815 38873075778 49671152383 58309613667 64788459630 97182689445 99342304766 116619227334 149013457149 194365378890 248355761915 291548068335 298026914298 447040371447 496711523830 583096136670 745067285745 894080742894 1341121114341 1490134571490 2235201857235 2682242228682 4470403714470 6705605571705 13411211143410