Search a number
-
+
7134132312 = 23321930716987
BaseRepresentation
bin1101010010011101…
…00011100001011000
3200102012010110201200
412221032203201120
5104102314213222
63135525114200
7341535060366
oct65116434130
920365113650
107134132312
11303103921a
121471258960
1389903a588
144b96b4636
152bb4b1eac
hex1a93a3858

7134132312 has 96 divisors (see below), whose sum is σ = 20405985600. Its totient is φ = 2245413312.

The previous prime is 7134132311. The next prime is 7134132349. The reversal of 7134132312 is 2132314317.

It is a happy number.

7134132312 is a `hidden beast` number, since 7 + 1 + 341 + 3 + 2 + 312 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7134132311) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 411483 + ... + 428469.

It is an arithmetic number, because the mean of its divisors is an integer number (212562350).

Almost surely, 27134132312 is an apocalyptic number.

7134132312 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7134132312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10202992800).

7134132312 is an abundant number, since it is smaller than the sum of its proper divisors (13271853288).

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

7134132312 is a wasteful number, since it uses less digits than its factorization.

7134132312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17325 (or 17318 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 7134132312 is about 84463.7929055995. The cubic root of 7134132312 is about 1925.0723365857.

Adding to 7134132312 its reverse (2132314317), we get a palindrome (9266446629).

The spelling of 7134132312 in words is "seven billion, one hundred thirty-four million, one hundred thirty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 307 342 456 614 684 921 1228 1368 1842 2456 2763 3684 5526 5833 7368 11052 11666 16987 17499 22104 23332 33974 34998 46664 50961 52497 67948 69996 101922 104994 135896 139992 152883 203844 209988 305766 322753 407688 419976 611532 645506 968259 1223064 1291012 1936518 2582024 2904777 3873036 5215009 5809554 7746072 10430018 11619108 15645027 20860036 23238216 31290054 41720072 46935081 62580108 93870162 99085171 125160216 187740324 198170342 297255513 375480648 396340684 594511026 792681368 891766539 1189022052 1783533078 2378044104 3567066156 7134132312