Search a number
-
+
321115097472 = 27313532335209
BaseRepresentation
bin1001010110000111111…
…00111000100110000000
31010200212001201010011020
410223003330320212000
520230120431104342
6403303534545440
732125350202311
oct4530374704600
91120761633136
10321115097472
11114203112584
1252298968280
1324386542020
1411783576608
1585462940ec
hex4ac3f38980

321115097472 has 256 divisors, whose sum is σ = 940103236800. Its totient is φ = 96505823232.

The previous prime is 321115097449. The next prime is 321115097473. The reversal of 321115097472 is 274790511123.

It is a super-2 number, since 2×3211150974722 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321115097473) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 61643604 + ... + 61648812.

Almost surely, 2321115097472 is an apocalyptic number.

321115097472 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 321115097472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470051618400).

321115097472 is an abundant number, since it is smaller than the sum of its proper divisors (618988139328).

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

321115097472 is a wasteful number, since it uses less digits than its factorization.

321115097472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5525 (or 5513 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 42.

The spelling of 321115097472 in words is "three hundred twenty-one billion, one hundred fifteen million, ninety-seven thousand, four hundred seventy-two".