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4145252319 = 321382742841
BaseRepresentation
bin1111011100010011…
…1000011111011111
3101200220000122011200
43313010320133133
531442141033234
61523155050543
7204503030505
oct36704703737
911626018150
104145252319
11183798346a
129782a0a53
13510a4a630
142b4764675
15193db7d99
hexf71387df

4145252319 has 24 divisors (see below), whose sum is σ = 6456118032. Its totient is φ = 2547780480.

The previous prime is 4145252299. The next prime is 4145252359. The reversal of 4145252319 is 9132525414.

4145252319 is a `hidden beast` number, since 414 + 5 + 2 + 5 + 231 + 9 = 666.

It is not a de Polignac number, because 4145252319 - 212 = 4145248223 is a prime.

It is a super-3 number, since 3×41452523193 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4145252359) 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, 75339 + ... + 118179.

It is an arithmetic number, because the mean of its divisors is an integer number (269004918).

Almost surely, 24145252319 is an apocalyptic number.

4145252319 is a deficient number, since it is larger than the sum of its proper divisors (2310865713).

4145252319 is a wasteful number, since it uses less digits than its factorization.

4145252319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43687 (or 43684 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 4145252319 is about 64383.6339375155. The cubic root of 4145252319 is about 1606.3875281135.

The spelling of 4145252319 in words is "four billion, one hundred forty-five million, two hundred fifty-two thousand, three hundred nineteen".

Divisors: 1 3 9 13 39 117 827 2481 7443 10751 32253 42841 96759 128523 385569 556933 1670799 5012397 35429507 106288521 318865563 460583591 1381750773 4145252319