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1332343340440 = 235710770163439
BaseRepresentation
bin10011011000110101110…
…110011111110110011000
311201101000022001101100221
4103120311312133312120
5133312114343343230
62500023045405424
7165154465351510
oct23306566376630
94641008041327
101332343340440
11474053099612
12196273109874
1398840aca7c8
14486b2d04840
15249cd63227a
hex13635d9fd98

1332343340440 has 128 divisors (see below), whose sum is σ = 3463032268800. Its totient is φ = 451881561600.

The previous prime is 1332343340401. The next prime is 1332343340443. The reversal of 1332343340440 is 440433432331.

It is a junction number, because it is equal to n+sod(n) for n = 1332343340396 and 1332343340405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1332343340443) 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, 20970241 + ... + 21033679.

It is an arithmetic number, because the mean of its divisors is an integer number (27054939600).

Almost surely, 21332343340440 is an apocalyptic number.

1332343340440 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 1332343340440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1731516134400).

1332343340440 is an abundant number, since it is smaller than the sum of its proper divisors (2130688928360).

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

1332343340440 is a wasteful number, since it uses less digits than its factorization.

1332343340440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64265 (or 64261 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 34.

Adding to 1332343340440 its reverse (440433432331), we get a palindrome (1772776772771).

The spelling of 1332343340440 in words is "one trillion, three hundred thirty-two billion, three hundred forty-three million, three hundred forty thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 107 140 214 280 428 535 701 749 856 1070 1402 1498 2140 2804 2996 3505 3745 4280 4907 5608 5992 7010 7490 9814 14020 14980 19628 24535 28040 29960 39256 49070 63439 75007 98140 126878 150014 196280 253756 300028 317195 375035 444073 507512 525049 600056 634390 750070 888146 1050098 1268780 1500140 1776292 2100196 2220365 2537560 2625245 3000280 3552584 4200392 4440730 5250490 6787973 8881460 10500980 13575946 17762920 21001960 27151892 33939865 44470739 47515811 54303784 67879730 88941478 95031622 135759460 177882956 190063244 222353695 237579055 271518920 311295173 355765912 380126488 444707390 475158110 622590346 889414780 950316220 1245180692 1556475865 1778829560 1900632440 2490361384 3112951730 4758369073 6225903460 9516738146 12451806920 19033476292 23791845365 33308583511 38066952584 47583690730 66617167022 95167381460 133234334044 166542917555 190334762920 266468668088 333085835110 666171670220 1332343340440