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13141443331440 = 24325171073647331
BaseRepresentation
bin1011111100111011101100…
…0011111100010101110000
31201112022100210002020112200
42333032323003330111300
53210302133443101230
643541032402023200
72524303134155154
oct277167303742560
951468323066480
1013141443331440
114207289189136
121582a96947b00
1374430458ab88
14336099205064
1517bc8be5c160
hexbf3bb0fc570

13141443331440 has 120 divisors (see below), whose sum is σ = 46729426477968. Its totient is φ = 3298244597760.

The previous prime is 13141443331433. The next prime is 13141443331493. The reversal of 13141443331440 is 4413334414131.

13141443331440 is a `hidden beast` number, since 1 + 3 + 1 + 41 + 443 + 33 + 144 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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 = 13141443331395 and 13141443331404.

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, 536811426 + ... + 536835905.

Almost surely, 213141443331440 is an apocalyptic number.

13141443331440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13141443331440 is an abundant number, since it is smaller than the sum of its proper divisors (33587983146528).

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

13141443331440 is a wasteful number, since it uses less digits than its factorization.

13141443331440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1073647367 (or 1073647358 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 13141443331440 its reverse (4413334414131), we get a palindrome (17554777745571).

The spelling of 13141443331440 in words is "thirteen trillion, one hundred forty-one billion, four hundred forty-three million, three hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 30 34 36 40 45 48 51 60 68 72 80 85 90 102 120 136 144 153 170 180 204 240 255 272 306 340 360 408 510 612 680 720 765 816 1020 1224 1360 1530 2040 2448 3060 4080 6120 12240 1073647331 2147294662 3220941993 4294589324 5368236655 6441883986 8589178648 9662825979 10736473310 12883767972 16104709965 17178357296 18252004627 19325651958 21472946620 25767535944 32209419930 36504009254 38651303916 42945893240 48314129895 51535071888 54756013881 64418839860 73008018508 77302607832 85891786480 91260023135 96628259790 109512027762 128837679720 146016037016 154605215664 164268041643 182520046270 193256519580 219024055524 257675359440 273780069405 292032074032 328536083286 365040092540 386513039160 438048111048 547560138810 657072166572 730080185080 773026078320 821340208215 876096222096 1095120277620 1314144333144 1460160370160 1642680416430 2190240555240 2628288666288 3285360832860 4380481110480 6570721665720 13141443331440