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1353443224016 = 24139767081841
BaseRepresentation
bin10011101100011111100…
…000001010100111010000
311210101110210012112020102
4103230133200022213100
5134133322431132031
62513432505231532
7166532404405202
oct23543740124720
94711423175212
101353443224016
11481aa0463424
1219a3814925a8
139a824315110
14497152d8772
1525315c0e7cb
hex13b1f80a9d0

1353443224016 has 40 divisors (see below), whose sum is σ = 2853124903944. Its totient is φ = 618226237440.

The previous prime is 1353443223989. The next prime is 1353443224019. The reversal of 1353443224016 is 6104223443531.

It can be written as a sum of positive squares in 4 ways, for example, as 344029171600 + 1009414052416 = 586540^2 + 1004696^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1353443224019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33520745 + ... + 33561096.

Almost surely, 21353443224016 is an apocalyptic number.

1353443224016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1353443224016 is an abundant number, since it is smaller than the sum of its proper divisors (1499681679928).

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

1353443224016 is a wasteful number, since it uses less digits than its factorization.

1353443224016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67081959 (or 67081953 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 38.

Adding to 1353443224016 its reverse (6104223443531), we get a palindrome (7457666667547).

The spelling of 1353443224016 in words is "one trillion, three hundred fifty-three billion, four hundred forty-three million, two hundred twenty-four thousand, sixteen".

Divisors: 1 2 4 8 13 16 26 52 97 104 194 208 388 776 1261 1552 2522 5044 10088 20176 67081841 134163682 268327364 536654728 872063933 1073309456 1744127866 3488255732 6506938577 6976511464 13013877154 13953022928 26027754308 52055508616 84590201501 104111017232 169180403002 338360806004 676721612008 1353443224016