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4144987248 = 243255133851
BaseRepresentation
bin1111011100001111…
…0111110001110000
3101200212112011120020
43313003313301300
531442104042443
61523145243440
7204500544633
oct36703676160
911625464506
104144987248
1118378122a6
12978193580
13510986a9c
142b46d5c1a
15193d64583
hexf70f7c70

4144987248 has 40 divisors (see below), whose sum is σ = 10712397696. Its totient is φ = 1381080000.

The previous prime is 4144987241. The next prime is 4144987283. The reversal of 4144987248 is 8427894414.

It is a super-2 number, since 2×41449872482 = 34361838572165227008, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4144987248.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4144987241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 105523 + ... + 139373.

Almost surely, 24144987248 is an apocalyptic number.

4144987248 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4144987248 is an abundant number, since it is smaller than the sum of its proper divisors (6567410448).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4144987248 is a wasteful number, since it uses less digits than its factorization.

4144987248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36413 (or 36407 counting only the distinct ones).

The product of its digits is 2064384, while the sum is 51.

The square root of 4144987248 is about 64381.5753768110. The cubic root of 4144987248 is about 1606.3532868665.

The spelling of 4144987248 in words is "four billion, one hundred forty-four million, nine hundred eighty-seven thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 2551 5102 7653 10204 15306 20408 30612 33851 40816 61224 67702 101553 122448 135404 203106 270808 406212 541616 812424 1624848 86353901 172707802 259061703 345415604 518123406 690831208 1036246812 1381662416 2072493624 4144987248