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13141343514320 = 2457415031137889
BaseRepresentation
bin1011111100111011010100…
…0111001010111011010000
31201112022002211021000012022
42333032311013022323100
53210301432414424240
643541014434351012
72524300512554150
oct277166507127320
951468084230168
1013141343514320
11420723790204a
121582a6942b468
137442b99ac6a8
14336089c60760
1517bc832e19b5
hexbf3b51caed0

13141343514320 has 160 divisors (see below), whose sum is σ = 35841241013760. Its totient is φ = 4386967879680.

The previous prime is 13141343514319. The next prime is 13141343514329. The reversal of 13141343514320 is 2341534314131.

It is a super-2 number, since 2×131413435143202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13141343514329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10979936 + ... + 12117824.

It is an arithmetic number, because the mean of its divisors is an integer number (224007756336).

Almost surely, 213141343514320 is an apocalyptic number.

13141343514320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13141343514320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17920620506880).

13141343514320 is an abundant number, since it is smaller than the sum of its proper divisors (22699897499440).

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

13141343514320 is a wasteful number, since it uses less digits than its factorization.

13141343514320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138453 (or 1138447 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 35.

Adding to 13141343514320 its reverse (2341534314131), we get a palindrome (15482877828451).

The spelling of 13141343514320 in words is "thirteen trillion, one hundred forty-one billion, three hundred forty-three million, five hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 41 56 70 80 82 112 140 164 205 280 287 328 410 503 560 574 656 820 1006 1148 1435 1640 2012 2296 2515 2870 3280 3521 4024 4592 5030 5740 7042 8048 10060 11480 14084 17605 20120 20623 22960 28168 35210 40240 41246 56336 70420 82492 103115 140840 144361 164984 206230 281680 288722 329968 412460 577444 721805 824920 1137889 1154888 1443610 1649840 2275778 2309776 2887220 4551556 5689445 5774440 7965223 9103112 11378890 11548880 15930446 18206224 22757780 31860892 39826115 45515560 46653449 63721784 79652230 91031120 93306898 127443568 159304460 186613796 233267245 318608920 326574143 373227592 466534490 572358167 637217840 653148286 746455184 933068980 1144716334 1306296572 1632870715 1866137960 2289432668 2612593144 2861790835 3265741430 3732275920 4006507169 4578865336 5225186288 5723581670 6531482860 8013014338 9157730672 11447163340 13062965720 16026028676 20032535845 22894326680 23466684847 26125931440 32052057352 40065071690 45788653360 46933369694 64104114704 80130143380 93866739388 117333424235 160260286760 164266793929 187733478776 234666848470 320520573520 328533587858 375466957552 469333696940 657067175716 821333969645 938667393880 1314134351432 1642667939290 1877334787760 2628268702864 3285335878580 6570671757160 13141343514320