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320134040424 = 233411251178933
BaseRepresentation
bin1001010100010010111…
…10011100101101101000
31010121022200200020220000
410222021132130231220
520221113303243144
6403022331303000
732062135305552
oct4521136345550
91117280606800
10320134040424
1111384a357930
12520642aaa60
132425b2080b3
14116cd15a4d2
1584da0a5769
hex4a8979cb68

320134040424 has 160 divisors (see below), whose sum is σ = 982089995040. Its totient is φ = 96623280000.

The previous prime is 320134040417. The next prime is 320134040449. The reversal of 320134040424 is 424040431023.

It is a happy number.

320134040424 is a `hidden beast` number, since 3 + 201 + 34 + 0 + 4 + 0 + 424 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1699662 + ... + 1878594.

It is an arithmetic number, because the mean of its divisors is an integer number (6138062469).

Almost surely, 2320134040424 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 320134040424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491044997520).

320134040424 is an abundant number, since it is smaller than the sum of its proper divisors (661955954616).

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

320134040424 is a wasteful number, since it uses less digits than its factorization.

320134040424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179213 (or 179200 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 320134040424 its reverse (424040431023), we get a palindrome (744174471447).

The spelling of 320134040424 in words is "three hundred twenty billion, one hundred thirty-four million, forty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 132 162 198 216 251 264 297 324 396 502 594 648 753 792 891 1004 1188 1506 1782 2008 2259 2376 2761 3012 3564 4518 5522 6024 6777 7128 8283 9036 11044 13554 16566 18072 20331 22088 24849 27108 33132 40662 49698 54216 66264 74547 81324 99396 149094 162648 178933 198792 223641 298188 357866 447282 536799 596376 715732 894564 1073598 1431464 1610397 1789128 1968263 2147196 3220794 3936526 4294392 4831191 5904789 6441588 7873052 9662382 11809578 12883176 14493573 15746104 17714367 19324764 23619156 28987146 35428734 38649528 44912183 47238312 53143101 57974292 70857468 89824366 106286202 115948584 134736549 141714936 159429303 179648732 212572404 269473098 318858606 359297464 404209647 425144808 494034013 538946196 637717212 808419294 988068026 1077892392 1212628941 1275434424 1482102039 1616838588 1976136052 2425257882 2964204078 3233677176 3637886823 3952272104 4446306117 4850515764 5928408156 7275773646 8892612234 9701031528 11856816312 13338918351 14551547292 17785224468 26677836702 29103094584 35570448936 40016755053 53355673404 80033510106 106711346808 160067020212 320134040424