Search a number
-
+
4950828144144 = 243240738441137
BaseRepresentation
bin100100000001011010001…
…0110100101011000010000
3122112021221201121000222200
41020002310112211120100
51122103244001103034
614310213513003200
71020454064611611
oct110026426453020
918467851530880
104950828144144
1116396a8468463
1267b6063b3500
1329bb26a7c77c
1413189b029c08
1588bb0912a99
hex480b45a5610

4950828144144 has 60 divisors (see below), whose sum is σ = 13858846073436. Its totient is φ = 1649870678016.

The previous prime is 4950828144127. The next prime is 4950828144149. The reversal of 4950828144144 is 4414418280594.

It is a happy number.

4950828144144 is a `hidden beast` number, since 4 + 9 + 5 + 0 + 82 + 81 + 441 + 44 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3142039856400 + 1808788287744 = 1772580^2 + 1344912^2 .

It is not an unprimeable number, because it can be changed into a prime (4950828144149) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3634057 + ... + 4807080.

Almost surely, 24950828144144 is an apocalyptic number.

It is an amenable number.

4950828144144 is an abundant number, since it is smaller than the sum of its proper divisors (8908017929292).

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

4950828144144 is a wasteful number, since it uses less digits than its factorization.

4950828144144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8445224 (or 8445215 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 4950828144144 in words is "four trillion, nine hundred fifty billion, eight hundred twenty-eight million, one hundred forty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 4073 8146 12219 16292 24438 32584 36657 48876 65168 73314 97752 146628 195504 293256 586512 8441137 16882274 25323411 33764548 50646822 67529096 75970233 101293644 135058192 151940466 202587288 303880932 405174576 607761864 1215523728 34380751001 68761502002 103142253003 137523004004 206284506006 275046008008 309426759009 412569012012 550092016016 618853518018 825138024024 1237707036036 1650276048048 2475414072072 4950828144144