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11313463140 = 22325719346523
BaseRepresentation
bin10101000100101010…
…11011111101100100
31002012110021110211100
422202111123331210
5141132221310030
65110342440100
7550233564360
oct124225337544
932173243740
1011313463140
114886178341
122238a33030
1310b3b5a3b5
1479478a2a0
1546335c360
hex2a255bf64

11313463140 has 144 divisors (see below), whose sum is σ = 39424065408. Its totient is φ = 2572480512.

The previous prime is 11313463129. The next prime is 11313463171. The reversal of 11313463140 is 4136431311.

11313463140 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 346 + 314 + 0 = 666.

It is a super-5 number, since 5×113134631405 (a number of 51 digits) contains 55555 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 219919 + ... + 266441.

It is an arithmetic number, because the mean of its divisors is an integer number (273778232).

Almost surely, 211313463140 is an apocalyptic number.

11313463140 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 11313463140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19712032704).

11313463140 is an abundant number, since it is smaller than the sum of its proper divisors (28110602268).

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

11313463140 is a wasteful number, since it uses less digits than its factorization.

11313463140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46738 (or 46733 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 11313463140 its reverse (4136431311), we get a palindrome (15449894451).

The spelling of 11313463140 in words is "eleven billion, three hundred thirteen million, four hundred sixty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 193 210 252 315 386 420 579 630 772 965 1158 1260 1351 1737 1930 2316 2702 2895 3474 3860 4053 5404 5790 6755 6948 8106 8685 11580 12159 13510 16212 17370 20265 24318 27020 34740 40530 46523 48636 60795 81060 93046 121590 139569 186092 232615 243180 279138 325661 418707 465230 558276 651322 697845 837414 930460 976983 1302644 1395690 1628305 1674828 1953966 2093535 2791380 2930949 3256610 3907932 4187070 4884915 5861898 6513220 8374140 8978939 9769830 11723796 14654745 17957878 19539660 26936817 29309490 35915756 44894695 53873634 58618980 62852573 80810451 89789390 107747268 125705146 134684085 161620902 179578780 188557719 251410292 269368170 314262865 323241804 377115438 404052255 538736340 565673157 628525730 754230876 808104510 942788595 1131346314 1257051460 1616209020 1885577190 2262692628 2828365785 3771154380 5656731570 11313463140