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4144818327 = 3131931180437
BaseRepresentation
bin1111011100001100…
…1110100010010111
3101200212012120211220
43313003032202113
531442033141302
61523141501423
7204466242306
oct36703164227
911625176756
104144818327
1118377073a1
12978111873
13510927c30
142b469043d
15193d2e4bc
hexf70ce897

4144818327 has 32 divisors (see below), whose sum is σ = 6466897920. Its totient is φ = 2338450560.

The previous prime is 4144818323. The next prime is 4144818341. The reversal of 4144818327 is 7238184414.

It is not a de Polignac number, because 4144818327 - 22 = 4144818323 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4144818323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67248 + ... + 113189.

It is an arithmetic number, because the mean of its divisors is an integer number (202090560).

Almost surely, 24144818327 is an apocalyptic number.

4144818327 is a deficient number, since it is larger than the sum of its proper divisors (2322079593).

4144818327 is a wasteful number, since it uses less digits than its factorization.

4144818327 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180503.

The product of its digits is 172032, while the sum is 42.

The square root of 4144818327 is about 64380.2634896752. The cubic root of 4144818327 is about 1606.3314652884.

The spelling of 4144818327 in words is "four billion, one hundred forty-four million, eight hundred eighteen thousand, three hundred twenty-seven".

Divisors: 1 3 13 19 31 39 57 93 247 403 589 741 1209 1767 7657 22971 180437 541311 2345681 3428303 5593547 7037043 10284909 16780641 44567939 72716111 106277393 133703817 218148333 318832179 1381606109 4144818327