Search a number
-
+
34042320455 = 51113372834547
BaseRepresentation
bin11111101101000101…
…001001011001000111
310020212110122001120112
4133231011021121013
51024204313223310
623345553023235
72313412643453
oct375505113107
9106773561515
1034042320455
111348a003240
126720854b1b
1332969b35b0
14190d257663
15d4395d705
hex7ed149647

34042320455 has 64 divisors (see below), whose sum is σ = 49474672128. Its totient is φ = 22152476160.

The previous prime is 34042320421. The next prime is 34042320457. The reversal of 34042320455 is 55402324043.

It is not a de Polignac number, because 34042320455 - 210 = 34042319431 is a prime.

It is a super-2 number, since 2×340423204552 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34042320457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7484492 + ... + 7489038.

It is an arithmetic number, because the mean of its divisors is an integer number (773041752).

Almost surely, 234042320455 is an apocalyptic number.

34042320455 is a deficient number, since it is larger than the sum of its proper divisors (15432351673).

34042320455 is a wasteful number, since it uses less digits than its factorization.

34042320455 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4896.

The product of its (nonzero) digits is 57600, while the sum is 32.

Adding to 34042320455 its reverse (55402324043), we get a palindrome (89444644498).

The spelling of 34042320455 in words is "thirty-four billion, forty-two million, three hundred twenty thousand, four hundred fifty-five".

Divisors: 1 5 11 13 37 55 65 143 185 283 407 481 715 1415 2035 2405 3113 3679 4547 5291 10471 15565 18395 22735 26455 40469 50017 52355 59111 115181 136123 168239 202345 250085 295555 575905 650221 680615 841195 1286801 1497353 1850629 2187107 3251105 6434005 7486765 9253145 10935535 14154811 16728413 24058177 47611637 70774055 83642065 120290885 184012543 238058185 523728007 618951281 920062715 2618640035 3094756405 6808464091 34042320455