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135044366641 = 1730469260717
BaseRepresentation
bin111110111000101000…
…1011000000100110001
3110220120110210121202221
41331301101120010301
54203032324213031
6142012153241041
712520345114432
oct1756121300461
9426513717687
10135044366641
11522aa02a488
122220a103181
13c971c98672
1467713d9489
1537a5b30a11
hex1f71458131

135044366641 has 8 divisors (see below), whose sum is σ = 142993394280. Its totient is φ = 127095921408.

The previous prime is 135044366551. The next prime is 135044366647. The reversal of 135044366641 is 146663440531.

It can be written as a sum of positive squares in 4 ways, for example, as 19461366016 + 115583000625 = 139504^2 + 339975^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 135044366641 - 229 = 134507495729 is a prime.

It is a super-2 number, since 2×1350443666412 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (135044366647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 387615 + ... + 648331.

It is an arithmetic number, because the mean of its divisors is an integer number (17874174285).

Almost surely, 2135044366641 is an apocalyptic number.

It is an amenable number.

135044366641 is a deficient number, since it is larger than the sum of its proper divisors (7949027639).

135044366641 is a wasteful number, since it uses less digits than its factorization.

135044366641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291203.

The product of its (nonzero) digits is 622080, while the sum is 43.

The spelling of 135044366641 in words is "one hundred thirty-five billion, forty-four million, three hundred sixty-six thousand, six hundred forty-one".

Divisors: 1 17 30469 260717 517973 4432189 7943786273 135044366641