Search a number
-
+
312045043145355 = 325134171731278631
BaseRepresentation
bin100011011110011011010010…
…1111100110101101010001011
31111220212012210120122120000100
41012330312211330311222023
5311400021222021122410
63023355302553140443
7122504340031066062
oct10674664574655213
91456765716576010
10312045043145355
1190477617949093
122abb85056ba723
131051694b930c20
14570b0bc6b51d9
15261201ad918c0
hex11bcda5f35a8b

312045043145355 has 48 divisors (see below), whose sum is σ = 582485932357056. Its totient is φ = 153621686695680.

The previous prime is 312045043145279. The next prime is 312045043145357. The reversal of 312045043145355 is 553541340540213.

312045043145355 is a `hidden beast` number, since 3 + 1 + 2 + 0 + 450 + 4 + 3 + 145 + 3 + 55 = 666.

It is not a de Polignac number, because 312045043145355 - 230 = 312043969403531 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 312045043145355.

It is not an unprimeable number, because it can be changed into a prime (312045043145357) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 243406890 + ... + 244685520.

It is an arithmetic number, because the mean of its divisors is an integer number (12135123590772).

Almost surely, 2312045043145355 is an apocalyptic number.

312045043145355 is a deficient number, since it is larger than the sum of its proper divisors (270440889211701).

312045043145355 is a wasteful number, since it uses less digits than its factorization.

312045043145355 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1695828 (or 1695825 counting only the distinct ones).

The product of its (nonzero) digits is 2160000, while the sum is 45.

Adding to 312045043145355 its reverse (553541340540213), we get a palindrome (865586383685568).

The spelling of 312045043145355 in words is "three hundred twelve trillion, forty-five billion, forty-three million, one hundred forty-five thousand, three hundred fifty-five".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 585 417173 1251519 1278631 2085865 3754557 3835893 5423249 6257595 6393155 11507679 16269747 16622203 18772785 19179465 27116245 48809241 49866609 57538395 81348735 83111015 149599827 244046205 249333045 747999135 533410330163 1600230990489 2667051650815 4800692971467 6934334292119 8001154952445 20803002876357 24003464857335 34671671460595 62409008629071 104015014381785 312045043145355