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325141132032 = 2832206968207
BaseRepresentation
bin1001011101100111110…
…10111111001100000000
31011002020122101212022100
410232303322333030000
520311342112211112
6405211234510400
732330205010353
oct4566372771400
91132218355270
10325141132032
11115989768972
1253021135400
132487867a7b2
1411a4614629a
1586ce95d2dc
hex4bb3ebf300

325141132032 has 108 divisors (see below), whose sum is σ = 937928890080. Its totient is φ = 108326406144.

The previous prime is 325141131989. The next prime is 325141132087. The reversal of 325141132032 is 230231141523.

325141132032 is a `hidden beast` number, since 3 + 2 + 514 + 113 + 2 + 0 + 32 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 325141131987 and 325141132005.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4732873 + ... + 4801079.

It is an arithmetic number, because the mean of its divisors is an integer number (8684526760).

Almost surely, 2325141132032 is an apocalyptic number.

325141132032 is a gapful number since it is divisible by the number (32) 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 325141132032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468964445040).

325141132032 is an abundant number, since it is smaller than the sum of its proper divisors (612787758048).

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

325141132032 is a wasteful number, since it uses less digits than its factorization.

325141132032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70298 (or 70281 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 325141132032 its reverse (230231141523), we get a palindrome (555372273555).

The spelling of 325141132032 in words is "three hundred twenty-five billion, one hundred forty-one million, one hundred thirty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2069 2304 4138 6207 8276 12414 16552 18621 24828 33104 37242 49656 66208 68207 74484 99312 132416 136414 148968 198624 204621 264832 272828 297936 397248 409242 529664 545656 595872 613863 794496 818484 1091312 1191744 1227726 1588992 1636968 2182624 2383488 2455452 3273936 4365248 4766976 4910904 6547872 8730496 9821808 13095744 17460992 19643616 26191488 39287232 52382976 78574464 141120283 157148928 282240566 423360849 564481132 846721698 1128962264 1270082547 1693443396 2257924528 2540165094 3386886792 4515849056 5080330188 6773773584 9031698112 10160660376 13547547168 18063396224 20321320752 27095094336 36126792448 40642641504 54190188672 81285283008 108380377344 162570566016 325141132032