Search a number
-
+
7134404144 = 2471729129209
BaseRepresentation
bin1101010010011111…
…00101111000110000
3200102012122021121112
412221033211320300
5104102401413034
63135535012452
7341540302040
oct65117457060
920365567545
107134404144
11303120447a
12147136a128
1389910421a
144b9745720
152bb5177ce
hex1a93e5e30

7134404144 has 80 divisors (see below), whose sum is σ = 17303803200. Its totient is φ = 2778488832.

The previous prime is 7134404131. The next prime is 7134404153. The reversal of 7134404144 is 4414044317.

It is a self number, because there is not a number n which added to its sum of digits gives 7134404144.

It is an unprimeable number.

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, 9389 + ... + 119820.

It is an arithmetic number, because the mean of its divisors is an integer number (216297540).

Almost surely, 27134404144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7134404144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8651901600).

7134404144 is an abundant number, since it is smaller than the sum of its proper divisors (10169399056).

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

7134404144 is a wasteful number, since it uses less digits than its factorization.

7134404144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129270 (or 129264 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 32.

The square root of 7134404144 is about 84465.4020531484. The cubic root of 7134404144 is about 1925.0967866330.

The spelling of 7134404144 in words is "seven billion, one hundred thirty-four million, four hundred four thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 17 28 29 34 56 58 68 112 116 119 136 203 232 238 272 406 464 476 493 812 952 986 1624 1904 1972 3248 3451 3944 6902 7888 13804 27608 55216 129209 258418 516836 904463 1033672 1808926 2067344 2196553 3617852 3747061 4393106 7235704 7494122 8786212 14471408 14988244 15375871 17572424 26229427 29976488 30751742 35144848 52458854 59952976 61503484 63700037 104917708 123006968 127400074 209835416 246013936 254800148 419670832 445900259 509600296 891800518 1019200592 1783601036 3567202072 7134404144