Search a number
-
+
6694440144 = 2437111717837
BaseRepresentation
bin1100011110000010…
…10000110011010000
3122021112202210110120
412033001100303100
5102202234041034
63024141030240
7324615542130
oct61701206320
918245683416
106694440144
112925922a67
121369b55380
13828c0c5b2
1447713aac0
15292aacc49
hex18f050cd0

6694440144 has 80 divisors (see below), whose sum is σ = 19783340928. Its totient is φ = 1910877696.

The previous prime is 6694440121. The next prime is 6694440163. The reversal of 6694440144 is 4410444966.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 6694440096 and 6694440105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 366394 + ... + 384230.

Almost surely, 26694440144 is an apocalyptic number.

It is an amenable number.

6694440144 is an abundant number, since it is smaller than the sum of its proper divisors (13088900784).

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

6694440144 is a wasteful number, since it uses less digits than its factorization.

6694440144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18972 (or 18966 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The square root of 6694440144 is about 81819.5584441764. The cubic root of 6694440144 is about 1884.6820210045.

The spelling of 6694440144 in words is "six billion, six hundred ninety-four million, four hundred forty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 1117 2234 3351 4468 6702 7819 8936 13404 15638 17837 17872 23457 26808 31276 35674 46914 53511 53616 62552 71348 93828 107022 124859 125104 142696 187656 214044 249718 285392 374577 375312 428088 499436 749154 856176 998872 1498308 1997744 2996616 5993232 19923929 39847858 59771787 79695716 119543574 139467503 159391432 239087148 278935006 318782864 418402509 478174296 557870012 836805018 956348592 1115740024 1673610036 2231480048 3347220072 6694440144