Search a number
-
+
115512143434000 = 24531753250313163
BaseRepresentation
bin11010010000111011000100…
…010001101101000100010000
3120010222212000212212222120121
4122100323010101231010100
5110120022332204342000
61045401313543320024
733221322411610135
oct3220730421550420
9503885025788517
10115512143434000
1133895474633915
1210b5703b150014
134c5b9962883a1
142074b635c458c
15d54b08bbbb1a
hex690ec446d110

115512143434000 has 160 divisors (see below), whose sum is σ = 279600587345664. Its totient is φ = 46156543718400.

The previous prime is 115512143433977. The next prime is 115512143434001. The reversal of 115512143434000 is 434341215511.

It is not an unprimeable number, because it can be changed into a prime (115512143434001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8775511419 + ... + 8775524581.

Almost surely, 2115512143434000 is an apocalyptic number.

115512143434000 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 115512143434000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139800293672832).

115512143434000 is an abundant number, since it is smaller than the sum of its proper divisors (164088443911664).

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

115512143434000 is a wasteful number, since it uses less digits than its factorization.

115512143434000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17442 (or 17426 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

Adding to 115512143434000 its reverse (434341215511), we get a palindrome (115946484649511).

The spelling of 115512143434000 in words is "one hundred fifteen trillion, five hundred twelve billion, one hundred forty-three million, four hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 1753 2000 2503 3506 5006 7012 8765 10012 12515 13163 14024 17530 20024 25030 26326 28048 35060 40048 43825 50060 52652 62575 65815 70120 87650 100120 105304 125150 131630 140240 175300 200240 210608 219125 250300 263260 312875 329075 350600 438250 500600 526520 625750 658150 701200 876500 1001200 1053040 1251500 1316300 1645375 1753000 2503000 2632600 3290750 3506000 4387759 5006000 5265200 6581500 8775518 13163000 17551036 21938795 23074739 26326000 32946989 35102072 43877590 46149478 65893978 70204144 87755180 92298956 109693975 115373695 131787956 164734945 175510360 184597912 219387950 230747390 263575912 329469890 351020720 369195824 438775900 461494780 527151824 548469875 576868475 658939780 823674725 877551800 922989560 1096939750 1153736950 1317879560 1647349450 1755103600 1845979120 2193879500 2307473900 2635759120 2884342375 3294698900 4118373625 4387759000 4614947800 5768684750 6589397800 8236747250 8775518000 9229895600 11537369500 13178795600 16473494500 23074739000 32946989000 46149478000 57756071717 65893978000 115512143434 231024286868 288780358585 462048573736 577560717170 924097147472 1155121434340 1443901792925 2310242868680 2887803585850 4620485737360 5775607171700 7219508964625 11551214343400 14439017929250 23102428686800 28878035858500 57756071717000 115512143434000