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2342033223440 = 245197389382021
BaseRepresentation
bin100010000101001100000…
…011101110111100010000
322021220012022200212102112
4202011030003232330100
5301332441001122230
64551525404004452
7331130523635351
oct42051403567420
98256168625375
102342033223440
11823283774a79
12319a9a230728
1313cb11752b11
14814d8225d28
1540dc58e9d95
hex2214c0eef10

2342033223440 has 80 divisors (see below), whose sum is σ = 5486951424240. Its totient is φ = 929659422720.

The previous prime is 2342033223407. The next prime is 2342033223449. The reversal of 2342033223440 is 443223302432.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 26754490624 + 2315278732816 = 163568^2 + 1521604^2 .

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 = 2342033223397 and 2342033223406.

It is not an unprimeable number, because it can be changed into a prime (2342033223449) 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 15 ways as a sum of consecutive naturals, for example, 5939630 + ... + 6321650.

It is an arithmetic number, because the mean of its divisors is an integer number (68586892803).

Almost surely, 22342033223440 is an apocalyptic number.

2342033223440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2342033223440 is an abundant number, since it is smaller than the sum of its proper divisors (3144918200800).

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

2342033223440 is a wasteful number, since it uses less digits than its factorization.

2342033223440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382620 (or 382614 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 32.

Adding to 2342033223440 its reverse (443223302432), we get a palindrome (2785256525872).

The spelling of 2342033223440 in words is "two trillion, three hundred forty-two billion, thirty-three million, two hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 197 389 394 778 788 985 1556 1576 1945 1970 3112 3152 3890 3940 6224 7780 7880 15560 15760 31120 76633 153266 306532 382021 383165 613064 764042 766330 1226128 1528084 1532660 1910105 3056168 3065320 3820210 6112336 6130640 7640420 15280840 30561680 75258137 148606169 150516274 297212338 301032548 376290685 594424676 602065096 743030845 752581370 1188849352 1204130192 1486061690 1505162740 2377698704 2972123380 3010325480 5944246760 6020650960 11888493520 29275415293 58550830586 117101661172 146377076465 234203322344 292754152930 468406644688 585508305860 1171016611720 2342033223440