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4144748817 = 31129101137313
BaseRepresentation
bin1111011100001011…
…1101100100010001
3101200212002001111110
43313002331210101
531442023430232
61523140203533
7204465532536
oct36702754421
911625061443
104144748817
11183766a150
129780995a9
135109023c1
142b4672d8d
15193d18acc
hexf70bd911

4144748817 has 64 divisors (see below), whose sum is σ = 6364604160. Its totient is φ = 2376192000.

The previous prime is 4144748807. The next prime is 4144748819. The reversal of 4144748817 is 7188474414.

It is not a de Polignac number, because 4144748817 - 214 = 4144732433 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4144748819) 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 63 ways as a sum of consecutive naturals, for example, 13241853 + ... + 13242165.

It is an arithmetic number, because the mean of its divisors is an integer number (99446940).

Almost surely, 24144748817 is an apocalyptic number.

It is an amenable number.

4144748817 is a deficient number, since it is larger than the sum of its proper divisors (2219855343).

4144748817 is a wasteful number, since it uses less digits than its factorization.

4144748817 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594.

The product of its digits is 802816, while the sum is 48.

The square root of 4144748817 is about 64379.7236480555. The cubic root of 4144748817 is about 1606.3224856649.

The spelling of 4144748817 in words is "four billion, one hundred forty-four million, seven hundred forty-eight thousand, eight hundred seventeen".

Divisors: 1 3 11 29 33 87 101 137 303 313 319 411 939 957 1111 1507 2929 3333 3443 3973 4521 8787 9077 10329 11919 13837 27231 31613 32219 41511 42881 43703 94839 96657 99847 128643 131109 152207 299541 347743 401273 456621 471691 916777 1043229 1203819 1243549 1415073 2750331 3730647 4330981 4414003 10084547 12992943 13242009 13679039 30253641 41037117 47640791 125598449 142922373 376795347 1381582939 4144748817