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13444143242040 = 2332575334977477
BaseRepresentation
bin1100001110100011010101…
…1000011101101100111000
31202121020200110100221100200
43003220311120131230320
53230232101132221130
644332053143402200
72555210255022150
oct303506530355470
952536613327320
1013444143242040
1143136a1410205
121611694453360
13766a14871604
143469b2b55760
15184aa6684760
hexc3a3561db38

13444143242040 has 96 divisors (see below), whose sum is σ = 49935389194080. Its totient is φ = 3072947026176.

The previous prime is 13444143242039. The next prime is 13444143242063. The reversal of 13444143242040 is 4024234144431.

13444143242040 is a `hidden beast` number, since 1 + 3 + 4 + 4 + 414 + 32 + 4 + 204 + 0 = 666.

13444143242040 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 13444143241986 and 13444143242004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2667486219 + ... + 2667491258.

It is an arithmetic number, because the mean of its divisors is an integer number (520160304105).

Almost surely, 213444143242040 is an apocalyptic number.

13444143242040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13444143242040 is an abundant number, since it is smaller than the sum of its proper divisors (36491245952040).

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

13444143242040 is a wasteful number, since it uses less digits than its factorization.

13444143242040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5334977501 (or 5334977494 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 13444143242040 its reverse (4024234144431), we get a palindrome (17468377386471).

The spelling of 13444143242040 in words is "thirteen trillion, four hundred forty-four billion, one hundred forty-three million, two hundred forty-two thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 420 504 630 840 1260 2520 5334977477 10669954954 16004932431 21339909908 26674887385 32009864862 37344842339 42679819816 48014797293 53349774770 64019729724 74689684678 80024662155 96029594586 106699549540 112034527017 128039459448 149379369356 160049324310 186724211695 192059189172 213399099080 224069054034 240073986465 298758738712 320098648620 336103581051 373448423390 384118378344 448138108068 480147972930 560172635085 640197297240 672207162102 746896846780 896276216136 960295945860 1120345270170 1344414324204 1493793693560 1680517905255 1920591891720 2240690540340 2688828648408 3361035810510 4481381080680 6722071621020 13444143242040