Search a number
-
+
354341001515355 = 33519138144639967
BaseRepresentation
bin101000010010001010111000…
…1100001100101000101011011
31201110121200001122022100222000
41100210111301201211011123
5332421010332341442410
63253342001525332043
7134431202225242431
oct12044256141450533
91643550048270860
10354341001515355
11a29a41a1782858
12338a97b0567023
13122942a01524ba
1463702a5ab2d51
152ae73514eedc0
hex142457186515b

354341001515355 has 32 divisors (see below), whose sum is σ = 663094271846400. Its totient is φ = 179035453395936.

The previous prime is 354341001515353. The next prime is 354341001515447. The reversal of 354341001515355 is 553515100143453.

354341001515355 is a `hidden beast` number, since 3 + 5 + 4 + 3 + 4 + 100 + 1 + 5 + 1 + 535 + 5 = 666.

It is not a de Polignac number, because 354341001515355 - 21 = 354341001515353 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 354341001515355.

It is not an unprimeable number, because it can be changed into a prime (354341001515351) 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, 69072317419 + ... + 69072322548.

It is an arithmetic number, because the mean of its divisors is an integer number (20721695995200).

Almost surely, 2354341001515355 is an apocalyptic number.

354341001515355 is a deficient number, since it is larger than the sum of its proper divisors (308753270331045).

354341001515355 is a wasteful number, since it uses less digits than its factorization.

354341001515355 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138144640000 (or 138144639994 counting only the distinct ones).

The product of its (nonzero) digits is 1350000, while the sum is 45.

The spelling of 354341001515355 in words is "three hundred fifty-four trillion, three hundred forty-one billion, one million, five hundred fifteen thousand, three hundred fifty-five".

Divisors: 1 3 5 9 15 19 27 45 57 95 135 171 285 513 855 2565 138144639967 414433919901 690723199835 1243301759703 2072169599505 2624748159373 3729905279109 6216508798515 7874244478119 13123740796865 18649526395545 23622733434357 39371222390595 70868200303071 118113667171785 354341001515355