Search a number
-
+
134615432480768 = 21144925712
BaseRepresentation
bin11110100110111010011001…
…000010001100100000000000
3122122122002221221111021221222
4132212322121002030200000
5120121014401203341033
61154145250445534212
740232433623404121
oct3646723102144000
9578562857437858
10134615432480768
11399900a2244628
1213121457b74368
135a1624732b935
1425355c91c4048
1510869ca163598
hex7a6e9908c800

134615432480768 has 108 divisors (see below), whose sum is σ = 270239218961985. Its totient is φ = 67040196034560.

The previous prime is 134615432480731. The next prime is 134615432480777. The reversal of 134615432480768 is 867084234516431.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 132932414055424 + 1683018425344 = 11529632^2 + 1297312^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=8204128.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 134615432480768.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 235753821923 + ... + 235753822493.

Almost surely, 2134615432480768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134615432480768

134615432480768 is an abundant number, since it is smaller than the sum of its proper divisors (135623786481217).

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

134615432480768 is an frugal number, since it uses more digits than its factorization.

134615432480768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2062 (or 1022 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 62.

The spelling of 134615432480768 in words is "one hundred thirty-four trillion, six hundred fifteen billion, four hundred thirty-two million, four hundred eighty thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 128 256 449 512 571 898 1024 1142 1796 2048 2284 3592 4568 7184 9136 14368 18272 28736 36544 57472 73088 114944 146176 201601 229888 256379 292352 326041 403202 459776 512758 584704 652082 806404 919552 1025516 1169408 1304164 1612808 2051032 2608328 3225616 4102064 5216656 6451232 8204128 10433312 12902464 16408256 20866624 25804928 32816512 41733248 51609856 65633024 83466496 103219712 115114171 131266048 146392409 166932992 206439424 230228342 262532096 292784818 333865984 412878848 460456684 525064192 585569636 667731968 920913368 1171139272 1841826736 2342278544 3683653472 4684557088 7367306944 9369114176 14734613888 18738228352 29469227776 37476456704 58938455552 65730191641 74952913408 117876911104 131460383282 149905826816 235753822208 262920766564 299811653632 525841533128 1051683066256 2103366132512 4206732265024 8413464530048 16826929060096 33653858120192 67307716240384 134615432480768