Search a number
-
+
5008814089444 = 2211223244232
BaseRepresentation
bin100100011100011010010…
…0101011010010011100100
3122201211121212101021002101
41020320310211122103210
51124031022401330234
614353003433021444
71024606040166664
oct110706445322344
918654555337071
105008814089444
111661253a79400
1268a8a9854884
132a44381812c9
141345dc2061a4
158a456428814
hex48e3495a4e4

5008814089444 has 81 divisors (see below), whose sum is σ = 10074114720579. Its totient is φ = 2177252887920.

The previous prime is 5008814089441. The next prime is 5008814089463. The reversal of 5008814089444 is 4449804188005.

The square root of 5008814089444 is 2238038.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×50088140894442 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5008814089441) 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 26 ways as a sum of consecutive naturals, for example, 1132445017 + ... + 1132449439.

Almost surely, 25008814089444 is an apocalyptic number.

5008814089444 is the 2238038-th square number.

It is an amenable number.

5008814089444 is an abundant number, since it is smaller than the sum of its proper divisors (5065300631135).

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

5008814089444 is an equidigital number, since it uses as much as digits as its factorization.

5008814089444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8918 (or 4459 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 55.

The spelling of 5008814089444 in words is "five trillion, eight billion, eight hundred fourteen million, eighty-nine thousand, four hundred forty-four".

Divisors: 1 2 4 11 22 23 44 46 92 121 242 253 484 506 529 1012 1058 2116 2783 4423 5566 5819 8846 11132 11638 17692 23276 48653 64009 97306 101729 128018 194612 203458 256036 406916 535183 1070366 1119019 2140732 2238038 2339767 4476076 4679534 9359068 12309209 19562929 24618418 25737437 39125858 49236836 51474874 78251716 102949748 215192219 283111807 430384438 449947367 566223614 860768876 899894734 1132447228 1799789468 2367114409 4734228818 4949421037 9468457636 9898842074 10348789441 19797684148 20697578882 41395157764 54443631407 108887262814 113836683851 217774525628 227673367702 455346735404 1252203522361 2504407044722 5008814089444