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134023324240 = 245133122718313
BaseRepresentation
bin111110011010001101…
…0011010001001010000
3110210221022112021220201
41330310122122021100
54143434432333430
6141323000544544
712453136313431
oct1746432321120
9423838467821
10134023324240
1151925744193
1221b84182154
13c83b5a1770
1466b5971488
1537461948ca
hex1f3469a250

134023324240 has 160 divisors (see below), whose sum is σ = 347943730176. Its totient is φ = 47675658240.

The previous prime is 134023324187. The next prime is 134023324243. The reversal of 134023324240 is 42423320431.

It is a junction number, because it is equal to n+sod(n) for n = 134023324199 and 134023324208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134023324243) 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 31 ways as a sum of consecutive naturals, for example, 7309324 + ... + 7327636.

Almost surely, 2134023324240 is an apocalyptic number.

134023324240 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 134023324240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173971865088).

134023324240 is an abundant number, since it is smaller than the sum of its proper divisors (213920405936).

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

134023324240 is a wasteful number, since it uses less digits than its factorization.

134023324240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18597 (or 18591 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 134023324240 its reverse (42423320431), we get a palindrome (176446644671).

The spelling of 134023324240 in words is "one hundred thirty-four billion, twenty-three million, three hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 31 40 52 62 65 80 104 124 130 155 208 227 248 260 310 403 454 496 520 620 806 908 1040 1135 1240 1612 1816 2015 2270 2480 2951 3224 3632 4030 4540 5902 6448 7037 8060 9080 11804 14074 14755 16120 18160 18313 23608 28148 29510 32240 35185 36626 47216 56296 59020 70370 73252 91481 91565 112592 118040 140740 146504 182962 183130 236080 238069 281480 293008 365924 366260 457405 476138 562960 567703 731848 732520 914810 952276 1135406 1190345 1463696 1465040 1829620 1904552 2270812 2380690 2838515 3659240 3809104 4157051 4541624 4761380 5677030 7318480 7380139 8314102 9083248 9522760 11354060 14760278 16628204 19045520 20785255 22708120 29520556 33256408 36900695 41570510 45416240 54041663 59041112 66512816 73801390 83141020 108083326 118082224 128868581 147602780 166282040 216166652 257737162 270208315 295205560 332564080 432333304 515474324 540416630 590411120 644342905 864666608 1030948648 1080833260 1288685810 1675291553 2061897296 2161666520 2577371620 3350583106 4323333040 5154743240 6701166212 8376457765 10309486480 13402332424 16752915530 26804664848 33505831060 67011662120 134023324240