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8134711440 = 243540998269
BaseRepresentation
bin1111001001101110…
…11101100010010000
3202222220220011020220
413210313131202100
5113124441231230
63423111033040
7405404622612
oct74467354220
922886804226
108134711440
1134a4918119
1216b036b780
139c841b22b
14572532db2
15329259d10
hex1e4ddd890

8134711440 has 80 divisors (see below), whose sum is σ = 25226808000. Its totient is φ = 2168464896.

The previous prime is 8134711421. The next prime is 8134711441. The reversal of 8134711440 is 441174318.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (8134711441) 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 15 ways as a sum of consecutive naturals, for example, 979626 + ... + 987894.

It is an arithmetic number, because the mean of its divisors is an integer number (315335100).

Almost surely, 28134711440 is an apocalyptic number.

8134711440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8134711440 is an abundant number, since it is smaller than the sum of its proper divisors (17092096560).

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

8134711440 is a wasteful number, since it uses less digits than its factorization.

8134711440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12384 (or 12378 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 8134711440 is about 90192.6351760497. The cubic root of 8134711440 is about 2011.1635252481.

Adding to 8134711440 its reverse (441174318), we get a palindrome (8575885758).

The spelling of 8134711440 in words is "eight billion, one hundred thirty-four million, seven hundred eleven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 4099 8198 8269 12297 16396 16538 20495 24594 24807 32792 33076 40990 41345 49188 49614 61485 65584 66152 81980 82690 98376 99228 122970 124035 132304 163960 165380 196752 198456 245940 248070 327920 330760 396912 491880 496140 661520 983760 992280 1984560 33894631 67789262 101683893 135578524 169473155 203367786 271157048 338946310 406735572 508419465 542314096 677892620 813471144 1016838930 1355785240 1626942288 2033677860 2711570480 4067355720 8134711440