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13441140443120 = 24513131151653363
BaseRepresentation
bin1100001110011000001001…
…1001101100011111110000
31202120221221012001221121212
43003212002121230133300
53230204423423134440
644330435155135252
72555042663451305
oct303460231543760
952527835057555
1013441140443120
1143123a0408a05
121610b968a4528
1376665671a110
143467aa0210ac
1518497cc3b465
hexc398266c7f0

13441140443120 has 160 divisors (see below), whose sum is σ = 34136084150784. Its totient is φ = 4892374656000.

The previous prime is 13441140443119. The next prime is 13441140443141. The reversal of 13441140443120 is 2134404114431.

It is a super-2 number, since 2×134411404431202 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

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, 20245559 + ... + 20898921.

Almost surely, 213441140443120 is an apocalyptic number.

13441140443120 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 13441140443120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17068042075392).

13441140443120 is an abundant number, since it is smaller than the sum of its proper divisors (20694943707664).

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

13441140443120 is a wasteful number, since it uses less digits than its factorization.

13441140443120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653671 (or 653665 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 13441140443120 its reverse (2134404114431), we get a palindrome (15575544557551).

The spelling of 13441140443120 in words is "thirteen trillion, four hundred forty-one billion, one hundred forty million, four hundred forty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 131 151 208 260 262 302 520 524 604 655 755 1040 1048 1208 1310 1510 1703 1963 2096 2416 2620 3020 3406 3926 5240 6040 6812 7852 8515 9815 10480 12080 13624 15704 17030 19630 19781 27248 31408 34060 39260 39562 68120 78520 79124 98905 136240 157040 158248 197810 257153 316496 395620 514306 653363 791240 1028612 1285765 1306726 1582480 2057224 2571530 2613452 3266815 4114448 5143060 5226904 6533630 8493719 10286120 10453808 13067260 16987438 20572240 26134520 33974876 42468595 52269040 67949752 84937190 85590553 98657813 135899504 169874380 171181106 197315626 339748760 342362212 394631252 427952765 493289065 679497520 684724424 789262504 855905530 986578130 1112677189 1282551569 1369448848 1578525008 1711811060 1973156260 2225354378 2565103138 3423622120 3946312520 4450708756 5130206276 5563385945 6412757845 6847244240 7892625040 8901417512 10260412552 11126771890 12825515690 12924173503 17802835024 20520825104 22253543780 25651031380 25848347006 44507087560 51302062760 51696694012 64620867515 89014175120 102604125520 103393388024 129241735030 168014255539 206786776048 258483470060 336028511078 516966940120 672057022156 840071277695 1033933880240 1344114044312 1680142555390 2688228088624 3360285110780 6720570221560 13441140443120