Search a number
-
+
73144234320471 = 332709045715573
BaseRepresentation
bin10000101000011000111000…
…000110101010001001010111
3100120222112001110012200201000
4100220120320012222021113
534041343342441223341
6415321555233034343
721256332212262066
oct2050307006521127
9316875043180630
1073144234320471
1121340328453646
128253a140b59b3
1331a761942cc62
14140c2b24981dd
1586c9b1a698b6
hex4286381aa257

73144234320471 has 8 divisors (see below), whose sum is σ = 108361828622960. Its totient is φ = 48762822880296.

The previous prime is 73144234320431. The next prime is 73144234320473. The reversal of 73144234320471 is 17402343244137.

73144234320471 is a `hidden beast` number, since 7 + 3 + 14 + 423 + 4 + 3 + 204 + 7 + 1 = 666.

It is not a de Polignac number, because 73144234320471 - 215 = 73144234287703 is a prime.

It is a super-3 number, since 3×731442343204713 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73144234320473) 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 7 ways as a sum of consecutive naturals, for example, 1354522857760 + ... + 1354522857813.

It is an arithmetic number, because the mean of its divisors is an integer number (13545228577870).

Almost surely, 273144234320471 is an apocalyptic number.

73144234320471 is a deficient number, since it is larger than the sum of its proper divisors (35217594302489).

73144234320471 is a wasteful number, since it uses less digits than its factorization.

73144234320471 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2709045715582 (or 2709045715576 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 45.

The spelling of 73144234320471 in words is "seventy-three trillion, one hundred forty-four billion, two hundred thirty-four million, three hundred twenty thousand, four hundred seventy-one".

Divisors: 1 3 9 27 2709045715573 8127137146719 24381411440157 73144234320471