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320420014440 = 2335109139176237
BaseRepresentation
bin1001010100110101000…
…01010110100101101000
31010122001121210020111020
410222122201112211220
520222210010430230
6403110544532440
732102210120211
oct4523241264550
91118047706436
10320420014440
11113986821399
1252124021120
13242a55349a6
141171911c408
158505243810
hex4a9a856968

320420014440 has 128 divisors (see below), whose sum is σ = 977063472000. Its totient is φ = 84051883008.

The previous prime is 320420014427. The next prime is 320420014457. The reversal of 320420014440 is 44410024023.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 320420014440.

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 31 ways as a sum of consecutive naturals, for example, 1730002 + ... + 1906238.

It is an arithmetic number, because the mean of its divisors is an integer number (7633308375).

Almost surely, 2320420014440 is an apocalyptic number.

320420014440 is a gapful number since it is divisible by the number (30) 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 320420014440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488531736000).

320420014440 is an abundant number, since it is smaller than the sum of its proper divisors (656643457560).

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

320420014440 is a wasteful number, since it uses less digits than its factorization.

320420014440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176499 (or 176495 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 320420014440 its reverse (44410024023), we get a palindrome (364830038463).

The spelling of 320420014440 in words is "three hundred twenty billion, four hundred twenty million, fourteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 109 120 139 218 278 327 417 436 545 556 654 695 834 872 1090 1112 1308 1390 1635 1668 2085 2180 2616 2780 3270 3336 4170 4360 5560 6540 8340 13080 15151 16680 30302 45453 60604 75755 90906 121208 151510 176237 181812 227265 303020 352474 363624 454530 528711 606040 704948 881185 909060 1057422 1409896 1762370 1818120 2114844 2643555 3524740 4229688 5287110 7049480 10574220 19209833 21148440 24496943 38419666 48993886 57629499 73490829 76839332 96049165 97987772 115258998 122484715 146981658 153678664 192098330 195975544 230517996 244969430 288147495 293963316 367454145 384196660 461035992 489938860 576294990 587926632 734908290 768393320 979877720 1152589980 1469816580 2305179960 2670166787 2939633160 5340333574 8010500361 10680667148 13350833935 16021000722 21361334296 26701667870 32042001444 40052501805 53403335740 64084002888 80105003610 106806671480 160210007220 320420014440