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1352343533440 = 27515113993621
BaseRepresentation
bin10011101011011101111…
…101001011011110000000
311210021122010221110100211
4103223131331023132000
5134124044421032230
62513131423123504
7166463222241214
oct23533575133600
94707563843324
101352343533440
1148158673a639
1219a115143594
139a6aa542233
144964d23a944
152529e3da42a
hex13addf4b780

1352343533440 has 64 divisors (see below), whose sum is σ = 3254356732320. Its totient is φ = 537355008000.

The previous prime is 1352343533407. The next prime is 1352343533441. The reversal of 1352343533440 is 443353432531.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 1352343533393 and 1352343533402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1352343533441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6900171 + ... + 7093450.

Almost surely, 21352343533440 is an apocalyptic number.

1352343533440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1352343533440 is an abundant number, since it is smaller than the sum of its proper divisors (1902013198880).

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

1352343533440 is a wasteful number, since it uses less digits than its factorization.

1352343533440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13993791 (or 13993779 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 40.

Adding to 1352343533440 its reverse (443353432531), we get a palindrome (1795696965971).

The spelling of 1352343533440 in words is "one trillion, three hundred fifty-two billion, three hundred forty-three million, five hundred thirty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 151 160 302 320 604 640 755 1208 1510 2416 3020 4832 6040 9664 12080 19328 24160 48320 96640 13993621 27987242 55974484 69968105 111948968 139936210 223897936 279872420 447795872 559744840 895591744 1119489680 1791183488 2113036771 2238979360 4226073542 4477958720 8452147084 8955917440 10565183855 16904294168 21130367710 33808588336 42260735420 67617176672 84521470840 135234353344 169042941680 270468706688 338085883360 676171766720 1352343533440