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13142136410440 = 2351394495264351
BaseRepresentation
bin1011111100111110010001…
…0111110101000101001000
31201112101011002020022012021
42333033210113311011020
53210310043410113230
643541225241054224
72524326251222512
oct277174427650510
951471132208167
1013142136410440
1142076044306a4
12158304aa87374
137443b5045cab
1433612329abb2
1517bcccc13c7a
hexbf3e45f5148

13142136410440 has 64 divisors (see below), whose sum is σ = 29848875840000. Its totient is φ = 5207410790400.

The previous prime is 13142136410423. The next prime is 13142136410461. The reversal of 13142136410440 is 4401463124131.

It is a super-2 number, since 2×131421364104402 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13142136410396 and 13142136410405.

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, 135736 + ... + 5128615.

It is an arithmetic number, because the mean of its divisors is an integer number (466388685000).

Almost surely, 213142136410440 is an apocalyptic number.

13142136410440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13142136410440 is an abundant number, since it is smaller than the sum of its proper divisors (16706739429560).

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

13142136410440 is a wasteful number, since it uses less digits than its factorization.

13142136410440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5264950 (or 5264946 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

Adding to 13142136410440 its reverse (4401463124131), we get a palindrome (17543599534571).

The spelling of 13142136410440 in words is "thirteen trillion, one hundred forty-two billion, one hundred thirty-six million, four hundred ten thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 139 278 449 556 695 898 1112 1390 1796 2245 2780 3592 4490 5560 8980 17960 62411 124822 249644 312055 499288 624110 1248220 2496440 5264351 10528702 21057404 26321755 42114808 52643510 105287020 210574040 731744789 1463489578 2363693599 2926979156 3658723945 4727387198 5853958312 7317447890 9454774396 11818467995 14634895780 18909548792 23636935990 29269791560 47273871980 94547743960 328553410261 657106820522 1314213641044 1642767051305 2628427282088 3285534102610 6571068205220 13142136410440