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1445436345441 = 311213732900159
BaseRepresentation
bin10101000010001010101…
…110000100110001100001
312010011220221111021221210
4111002022232010301201
5142140223201023231
63024005125140333
7206300155134324
oct25021256046141
95104827437853
101445436345441
11508008153100
121b417585a6a9
13a63c504388a
144dd60bc07bb
15278ec040a46
hex1508ab84c61

1445436345441 has 24 divisors (see below), whose sum is σ = 2119924154880. Its totient is φ = 875383690720.

The previous prime is 1445436345403. The next prime is 1445436345467.

1445436345441 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-1445436345441 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1445436345541) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 951681 + ... + 1948478.

It is an arithmetic number, because the mean of its divisors is an integer number (88330173120).

Almost surely, 21445436345441 is an apocalyptic number.

1445436345441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1445436345441 is a deficient number, since it is larger than the sum of its proper divisors (674487809439).

1445436345441 is a wasteful number, since it uses less digits than its factorization.

1445436345441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2901557 (or 2901546 counting only the distinct ones).

The product of its digits is 5529600, while the sum is 48.

The spelling of 1445436345441 in words is "one trillion, four hundred forty-five billion, four hundred thirty-six million, three hundred forty-five thousand, four hundred forty-one".

Divisors: 1 3 11 33 121 363 1373 4119 15103 45309 166133 498399 2900159 8700477 31901749 95705247 350919239 1052757717 3981918307 11945754921 43801101377 131403304131 481812115147 1445436345441