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134313041440 = 2554120474549
BaseRepresentation
bin111110100010110101…
…1100101111000100000
3110211200111200110012101
41331011223211320200
54200033114311230
6141411430340144
712463255005124
oct1750553457040
9424614613171
10134313041440
1151a64234a96
12220451ba654
13c88660c066
146702229584
153761821aca
hex1f45ae5e20

134313041440 has 48 divisors (see below), whose sum is σ = 325053955800. Its totient is φ = 52414842880.

The previous prime is 134313041411. The next prime is 134313041453. The reversal of 134313041440 is 44140313431.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 86734962064 + 47578079376 = 294508^2 + 218124^2 .

It is a junction number, because it is equal to n+sod(n) for n = 134313041399 and 134313041408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10230715 + ... + 10243834.

Almost surely, 2134313041440 is an apocalyptic number.

134313041440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134313041440 is an abundant number, since it is smaller than the sum of its proper divisors (190740914360).

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

134313041440 is a wasteful number, since it uses less digits than its factorization.

134313041440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20474605 (or 20474597 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 134313041440 its reverse (44140313431), we get a palindrome (178453354871).

The spelling of 134313041440 in words is "one hundred thirty-four billion, three hundred thirteen million, forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 80 82 160 164 205 328 410 656 820 1312 1640 3280 6560 20474549 40949098 81898196 102372745 163796392 204745490 327592784 409490980 655185568 818981960 839456509 1637963920 1678913018 3275927840 3357826036 4197282545 6715652072 8394565090 13431304144 16789130180 26862608288 33578260360 67156520720 134313041440