Search a number
-
+
340152565506345 = 3259677816903723
BaseRepresentation
bin100110101010111011111000…
…0110101100010000100101001
31122121101021020010210100010200
41031111313300311202010221
5324041024423232200340
63203235533100502413
7131435132446123314
oct11525676065420451
91577337203710120
10340152565506345
1199423990518619
1232197a19b4aa09
13117a5331905507
145ddd6872c597b
15294d2374c5330
hex1355df0d62129

340152565506345 has 24 divisors (see below), whose sum is σ = 590207498776896. Its totient is φ = 181227095890848.

The previous prime is 340152565506337. The next prime is 340152565506349. The reversal of 340152565506345 is 543605565251043.

340152565506345 is a `hidden beast` number, since 3 + 4 + 0 + 1 + 5 + 2 + 56 + 550 + 6 + 34 + 5 = 666.

It is not a de Polignac number, because 340152565506345 - 23 = 340152565506337 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 340152565506291 and 340152565506300.

It is not an unprimeable number, because it can be changed into a prime (340152565506349) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3908408347 + ... + 3908495376.

It is an arithmetic number, because the mean of its divisors is an integer number (24591979115704).

Almost surely, 2340152565506345 is an apocalyptic number.

It is an amenable number.

340152565506345 is a deficient number, since it is larger than the sum of its proper divisors (250054933270551).

340152565506345 is a wasteful number, since it uses less digits than its factorization.

340152565506345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7816904701 (or 7816904698 counting only the distinct ones).

The product of its (nonzero) digits is 32400000, while the sum is 54.

The spelling of 340152565506345 in words is "three hundred forty trillion, one hundred fifty-two billion, five hundred sixty-five million, five hundred six thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 45 967 2901 4835 8703 14505 43515 7816903723 23450711169 39084518615 70352133507 117253555845 351760667535 7558945900141 22676837700423 37794729500705 68030513101269 113384188502115 340152565506345