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13134243240 = 23325191920211
BaseRepresentation
bin11000011101101110…
…01010010110101000
31020220100101200120100
430032313022112220
5203344331240430
610011144225400
7643323140226
oct141667122650
936810350510
1013134243240
11562aa35388
12266676b260
131314144981
148c8511b16
1551d11c960
hex30edca5a8

13134243240 has 96 divisors (see below), whose sum is σ = 44932960800. Its totient is φ = 3318122880.

The previous prime is 13134243229. The next prime is 13134243247. The reversal of 13134243240 is 4234243131.

13134243240 is a `hidden beast` number, since 1 + 313 + 4 + 24 + 324 + 0 = 666.

13134243240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (13134243247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 953266 + ... + 966945.

It is an arithmetic number, because the mean of its divisors is an integer number (468051675).

Almost surely, 213134243240 is an apocalyptic number.

13134243240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13134243240 is an abundant number, since it is smaller than the sum of its proper divisors (31798717560).

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

13134243240 is a wasteful number, since it uses less digits than its factorization.

13134243240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1920247 (or 1920240 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 13134243240 its reverse (4234243131), we get a palindrome (17368486371).

The spelling of 13134243240 in words is "thirteen billion, one hundred thirty-four million, two hundred forty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 30 36 38 40 45 57 60 72 76 90 95 114 120 152 171 180 190 228 285 342 360 380 456 570 684 760 855 1140 1368 1710 2280 3420 6840 1920211 3840422 5760633 7680844 9601055 11521266 15361688 17281899 19202110 23042532 28803165 34563798 36484009 38404220 46085064 57606330 69127596 72968018 76808440 86409495 109452027 115212660 138255192 145936036 172818990 182420045 218904054 230425320 291872072 328356081 345637980 364840090 437808108 547260135 656712162 691275960 729680180 875616216 1094520270 1313424324 1459360360 1641780405 2189040540 2626848648 3283560810 4378081080 6567121620 13134243240