Search a number
-
+
13445540351142 = 2365328403120823
BaseRepresentation
bin1100001110101000100010…
…1010000000110010100110
31202121101021211021102202020
43003222020222000302212
53230242431312214032
644332443532324010
72555260011164424
oct303521052006246
952541254242666
1013445540351142
114314249004a29
121611a04313606
13766ba814a2a3
14346aa6514114
15184b39157b2c
hexc3a88a80ca6

13445540351142 has 32 divisors (see below), whose sum is σ = 26933432663808. Its totient is φ = 4474788722976.

The previous prime is 13445540351129. The next prime is 13445540351143. The reversal of 13445540351142 is 24115304554431.

It is a junction number, because it is equal to n+sod(n) for n = 13445540351094 and 13445540351103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13445540351143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111222543 + ... + 111343365.

It is an arithmetic number, because the mean of its divisors is an integer number (841669770744).

Almost surely, 213445540351142 is an apocalyptic number.

13445540351142 is an abundant number, since it is smaller than the sum of its proper divisors (13487892312666).

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

13445540351142 is a wasteful number, since it uses less digits than its factorization.

13445540351142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149884.

The product of its (nonzero) digits is 576000, while the sum is 42.

The spelling of 13445540351142 in words is "thirteen trillion, four hundred forty-five billion, five hundred forty million, three hundred fifty-one thousand, one hundred forty-two".

Divisors: 1 2 3 6 653 1306 1959 3918 28403 56806 85209 120823 170418 241646 362469 724938 18547159 37094318 55641477 78897419 111282954 157794838 236692257 473384514 3431735669 6863471338 10295207007 20590414014 2240923391857 4481846783714 6722770175571 13445540351142