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320213724055440 = 243510113210137131
BaseRepresentation
bin100100011001110111001000…
…1010001100100011110010000
31112222210010120222221000210220
41020303232101101210132100
5313432340201324233230
63053012053134353040
7124306451410144305
oct11063562121443620
91488703528830726
10320213724055440
1193036972302736
122bab769435b780
131098a0420bc087
1459105d973b0ac
152704761940d10
hex1233b91464790

320213724055440 has 80 divisors (see below), whose sum is σ = 1002490886673216. Its totient is φ = 84544877632000.

The previous prime is 320213724055429. The next prime is 320213724055499. The reversal of 320213724055440 is 44550427312023.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 320213724055392 and 320213724055401.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6605044326 + ... + 6605092805.

Almost surely, 2320213724055440 is an apocalyptic number.

320213724055440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

320213724055440 is an abundant number, since it is smaller than the sum of its proper divisors (682277162617776).

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

320213724055440 is a wasteful number, since it uses less digits than its factorization.

320213724055440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13210137248 (or 13210137242 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 42.

The spelling of 320213724055440 in words is "three hundred twenty trillion, two hundred thirteen billion, seven hundred twenty-four million, fifty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 101 120 202 240 303 404 505 606 808 1010 1212 1515 1616 2020 2424 3030 4040 4848 6060 8080 12120 24240 13210137131 26420274262 39630411393 52840548524 66050685655 79260822786 105681097048 132101371310 158521645572 198152056965 211362194096 264202742620 317043291144 396304113930 528405485240 634086582288 792608227860 1056810970480 1334223850231 1585216455720 2668447700462 3170432911440 4002671550693 5336895400924 6671119251155 8005343101386 10673790801848 13342238502310 16010686202772 20013357753465 21347581603696 26684477004620 32021372405544 40026715506930 53368954009240 64042744811088 80053431013860 106737908018480 160106862027720 320213724055440