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134407353486 = 237210312734949
BaseRepresentation
bin111110100101101001…
…1010111010010001110
3110211221002011000000010
41331023103113102032
54200231240302421
6141425040014050
712465511440300
oct1751323272216
9424832130003
10134407353486
11520024a102a
1222070901326
13c8a00108c3
146710979970
153769c51076
hex1f4b4d748e

134407353486 has 96 divisors (see below), whose sum is σ = 318234009600. Its totient is φ = 37728742464.

The previous prime is 134407353469. The next prime is 134407353497. The reversal of 134407353486 is 684353704431.

It is a super-2 number, since 2×1344073534862 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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, 3828340 + ... + 3863288.

It is an arithmetic number, because the mean of its divisors is an integer number (3314937600).

Almost surely, 2134407353486 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134407353486, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159117004800).

134407353486 is an abundant number, since it is smaller than the sum of its proper divisors (183826656114).

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

134407353486 is a wasteful number, since it uses less digits than its factorization.

134407353486 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35198 (or 35191 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 48.

The spelling of 134407353486 in words is "one hundred thirty-four billion, four hundred seven million, three hundred fifty-three thousand, four hundred eighty-six".

Divisors: 1 2 3 6 7 14 21 42 49 98 103 127 147 206 254 294 309 381 618 721 762 889 1442 1778 2163 2667 4326 5047 5334 6223 10094 12446 13081 15141 18669 26162 30282 34949 37338 39243 69898 78486 91567 104847 183134 209694 244643 274701 489286 549402 640969 733929 1281938 1467858 1712501 1922907 3425002 3599747 3845814 4438523 5137503 7199494 8877046 10275006 10799241 13315569 21598482 25198229 26631138 31069661 50396458 62139322 75594687 93208983 151189374 176387603 186417966 217487627 352775206 434975254 457167869 529162809 652462881 914335738 1058325618 1304925762 1371503607 2743007214 3200175083 6400350166 9600525249 19201050498 22401225581 44802451162 67203676743 134407353486