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1344213311340 = 2235472713175699
BaseRepresentation
bin10011100011111001010…
…110110101111101101100
311202111122112111101022210
4103203321112311331230
5134010422101430330
62505304552210420
7166054600423614
oct23437126657554
94674575441283
101344213311340
11479094409419
12198626399a10
13999b3036523
14490bb555a44
1524e7576a8b0
hex138f95b5f6c

1344213311340 has 96 divisors (see below), whose sum is σ = 3845316787200. Its totient is φ = 350698830336.

The previous prime is 1344213311339. The next prime is 1344213311341. The reversal of 1344213311340 is 431133124431.

It is an interprime number because it is at equal distance from previous prime (1344213311339) and next prime (1344213311341).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1344213311298 and 1344213311307.

It is not an unprimeable number, because it can be changed into a prime (1344213311341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7562811 + ... + 7738509.

It is an arithmetic number, because the mean of its divisors is an integer number (40055383200).

Almost surely, 21344213311340 is an apocalyptic number.

1344213311340 is a gapful number since it is divisible by the number (10) 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 1344213311340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1922658393600).

1344213311340 is an abundant number, since it is smaller than the sum of its proper divisors (2501103475860).

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

1344213311340 is a wasteful number, since it uses less digits than its factorization.

1344213311340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178471 (or 178469 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 1344213311340 its reverse (431133124431), we get a palindrome (1775346435771).

The spelling of 1344213311340 in words is "one trillion, three hundred forty-four billion, two hundred thirteen million, three hundred eleven thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 94 141 188 235 282 470 564 705 940 1410 2713 2820 5426 8139 10852 13565 16278 27130 32556 40695 54260 81390 127511 162780 175699 255022 351398 382533 510044 527097 637555 702796 765066 878495 1054194 1275110 1530132 1756990 1912665 2108388 2550220 2635485 3513980 3825330 5270970 7650660 8257853 10541940 16515706 24773559 33031412 41289265 49547118 82578530 99094236 123867795 165157060 247735590 476671387 495471180 953342774 1430014161 1906685548 2383356935 2860028322 4766713870 5720056644 7150070805 9533427740 14300141610 22403555189 28600283220 44807110378 67210665567 89614220756 112017775945 134421331134 224035551890 268842662268 336053327835 448071103780 672106655670 1344213311340