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320420423440 = 2451310119115971
BaseRepresentation
bin1001010100110101000…
…10111010011100010000
31010122001122120000112101
410222122202322130100
520222210112022230
6403111001410144
732102213442505
oct4523242723420
91118048500471
10320420423440
11113986a80707
1252124199954
13242a5648bc0
14117191c74ac
1585052c4aca
hex4a9a8ba710

320420423440 has 160 divisors (see below), whose sum is σ = 814519867392. Its totient is φ = 116517120000.

The previous prime is 320420423431. The next prime is 320420423441. The reversal of 320420423440 is 44324024023.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 320420423399 and 320420423408.

It is not an unprimeable number, because it can be changed into a prime (320420423441) 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, 20054655 + ... + 20070625.

Almost surely, 2320420423440 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 320420423440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407259933696).

320420423440 is an abundant number, since it is smaller than the sum of its proper divisors (494099443952).

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

320420423440 is a wasteful number, since it uses less digits than its factorization.

320420423440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16289 (or 16283 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

Adding to 320420423440 its reverse (44324024023), we get a palindrome (364744447463).

The spelling of 320420423440 in words is "three hundred twenty billion, four hundred twenty million, four hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 101 104 130 191 202 208 260 382 404 505 520 764 808 955 1010 1040 1313 1528 1616 1910 2020 2483 2626 3056 3820 4040 4966 5252 6565 7640 8080 9932 10504 12415 13130 15280 15971 19291 19864 21008 24830 26260 31942 38582 39728 49660 52520 63884 77164 79855 96455 99320 105040 127768 154328 159710 192910 198640 207623 250783 255536 308656 319420 385820 415246 501566 638840 771640 830492 1003132 1038115 1253915 1277680 1543280 1613071 1660984 2006264 2076230 2507830 3050461 3226142 3321968 4012528 4152460 5015660 6100922 6452284 8065355 8304920 10031320 12201844 12904568 15252305 16130710 16609840 20062640 20969923 24403688 25809136 30504610 32261420 39655993 41939846 48807376 61009220 64522840 79311986 83879692 104849615 122018440 129045680 158623972 167759384 198279965 209699230 244036880 308096561 317247944 335518768 396559930 419398460 616193122 634495888 793119860 838796920 1232386244 1540482805 1586239720 1677593840 2464772488 3080965610 3172479440 4005255293 4929544976 6161931220 8010510586 12323862440 16021021172 20026276465 24647724880 32042042344 40052552930 64084084688 80105105860 160210211720 320420423440