Search a number
-
+
5334445440144 = 243247788186383
BaseRepresentation
bin100110110100000010110…
…1110011011110010010000
3200212222010200012210222200
41031220011232123302100
51144344421013041034
615202335503003200
71060254350045322
oct115500556336220
920788120183880
105334445440144
111777364422867
12721a26b99500
132c906126aa02
1414628d4b9612
1593b63e1ba99
hex4da05b9bc90

5334445440144 has 60 divisors (see below), whose sum is σ = 15246677412096. Its totient is φ = 1740315531456.

The previous prime is 5334445440133. The next prime is 5334445440161. The reversal of 5334445440144 is 4410445444335.

5334445440144 is a `hidden beast` number, since 53 + 3 + 4 + 4 + 454 + 4 + 0 + 144 = 666.

It is a super-2 number, since 2×53344454401442 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5334445440144.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 394086424 + ... + 394099959.

Almost surely, 25334445440144 is an apocalyptic number.

It is an amenable number.

5334445440144 is an abundant number, since it is smaller than the sum of its proper divisors (9912231971952).

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

5334445440144 is a wasteful number, since it uses less digits than its factorization.

5334445440144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788186444 (or 788186435 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 45.

The spelling of 5334445440144 in words is "five trillion, three hundred thirty-four billion, four hundred forty-five million, four hundred forty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 47 48 72 94 141 144 188 282 376 423 564 752 846 1128 1692 2256 3384 6768 788186383 1576372766 2364559149 3152745532 4729118298 6305491064 7093677447 9458236596 12610982128 14187354894 18916473192 28374709788 37044760001 37832946384 56749419576 74089520002 111134280003 113498839152 148179040004 222268560006 296358080008 333402840009 444537120012 592716160016 666805680018 889074240024 1333611360036 1778148480048 2667222720072 5334445440144