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7134143382 = 2323725142677
BaseRepresentation
bin1101010010011101…
…00110001110010110
3200102012011000220200
412221032212032112
5104102320042012
63135525241330
7341535134562
oct65116461626
920365130820
107134143382
113031046573
121471263246
13899042622
144b96b86a2
152bb4b53dc
hex1a93a6396

7134143382 has 48 divisors (see below), whose sum is σ = 15938696592. Its totient is φ = 2304504000.

The previous prime is 7134143363. The next prime is 7134143407. The reversal of 7134143382 is 2833414317.

7134143382 is a `hidden beast` number, since 7 + 134 + 143 + 382 = 666.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 145828 + ... + 188504.

It is an arithmetic number, because the mean of its divisors is an integer number (332056179).

Almost surely, 27134143382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7134143382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7969348296).

7134143382 is an abundant number, since it is smaller than the sum of its proper divisors (8804553210).

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

7134143382 is a wasteful number, since it uses less digits than its factorization.

7134143382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42973 (or 42970 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 7134143382 is about 84463.8584366118. The cubic root of 7134143382 is about 1925.0733322938.

Adding to 7134143382 its reverse (2833414317), we get a palindrome (9967557699).

The spelling of 7134143382 in words is "seven billion, one hundred thirty-four million, one hundred forty-three thousand, three hundred eighty-two".

Divisors: 1 2 3 6 9 18 37 74 111 222 251 333 502 666 753 1506 2259 4518 9287 18574 27861 42677 55722 83583 85354 128031 167166 256062 384093 768186 1579049 3158098 4737147 9474294 10711927 14211441 21423854 28422882 32135781 64271562 96407343 192814686 396341299 792682598 1189023897 2378047794 3567071691 7134143382