Search a number
-
+
34242242114465 = 5711175231816977
BaseRepresentation
bin1111100100100101001001…
…01011010111001110100001
311111020112012201122220020122
413302102210223113032201
513442011102440130330
6200454400250250025
710132630452402110
oct762224453271641
9144215181586218
1034242242114465
11aa02064a86720
123a10461726915
13161504cc94b48
14865494a59c77
153e5abc97a5e5
hex1f24a4ad73a1

34242242114465 has 32 divisors (see below), whose sum is σ = 54243478427904. Its totient is φ = 20090177187840.

The previous prime is 34242242114459. The next prime is 34242242114473. The reversal of 34242242114465 is 56441124224243.

It is not a de Polignac number, because 34242242114465 - 28 = 34242242114209 is a prime.

It is a super-2 number, since 2×342422421144652 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2615901944 + ... + 2615915033.

It is an arithmetic number, because the mean of its divisors is an integer number (1695108700872).

Almost surely, 234242242114465 is an apocalyptic number.

34242242114465 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

34242242114465 is a deficient number, since it is larger than the sum of its proper divisors (20001236313439).

34242242114465 is a wasteful number, since it uses less digits than its factorization.

34242242114465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5231817017.

The product of its digits is 1474560, while the sum is 44.

The spelling of 34242242114465 in words is "thirty-four trillion, two hundred forty-two billion, two hundred forty-two million, one hundred fourteen thousand, four hundred sixty-five".

Divisors: 1 5 7 11 17 35 55 77 85 119 187 385 595 935 1309 6545 5231816977 26159084885 36622718839 57549986747 88940888609 183113594195 287749933735 402849907229 444704443045 622586220263 978349774699 2014249536145 3112931101315 4891748873495 6848448422893 34242242114465