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13415134531440 = 2435166933490949
BaseRepresentation
bin1100001100110111010001…
…0101000000111101110000
31202111110210210100202101210
43003031310111000331300
53224243143420001230
644310454442200120
72553132353034645
oct303156425007560
952443723322353
1013415134531440
114302365790614
121607b394b3040
137640709869b5
1434542022bdcc
15183e59abaeb0
hexc3374540f70

13415134531440 has 80 divisors (see below), whose sum is σ = 41611835556000. Its totient is φ = 3575225680896.

The previous prime is 13415134531433. The next prime is 13415134531471. The reversal of 13415134531440 is 4413543151431.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16344915 + ... + 17146034.

It is an arithmetic number, because the mean of its divisors is an integer number (520147944450).

Almost surely, 213415134531440 is an apocalyptic number.

13415134531440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13415134531440 is an abundant number, since it is smaller than the sum of its proper divisors (28196701024560).

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

13415134531440 is a wasteful number, since it uses less digits than its factorization.

13415134531440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33492634 (or 33492628 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

Adding to 13415134531440 its reverse (4413543151431), we get a palindrome (17828677682871).

The spelling of 13415134531440 in words is "thirteen trillion, four hundred fifteen billion, one hundred thirty-four million, five hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1669 3338 5007 6676 8345 10014 13352 16690 20028 25035 26704 33380 40056 50070 66760 80112 100140 133520 200280 400560 33490949 66981898 100472847 133963796 167454745 200945694 267927592 334909490 401891388 502364235 535855184 669818980 803782776 1004728470 1339637960 1607565552 2009456940 2679275920 4018913880 8037827760 55896393881 111792787762 167689181643 223585575524 279481969405 335378363286 447171151048 558963938810 670756726572 838445908215 894342302096 1117927877620 1341513453144 1676891816430 2235855755240 2683026906288 3353783632860 4471711510480 6707567265720 13415134531440