Search a number
-
+
224343402004044 = 2232379120971359233
BaseRepresentation
bin110011000000101000000100…
…110010001011111001001100
31002102100000112102020112121200
4303000220010302023321030
5213401120241403112134
62113045534110225500
765153163432251151
oct6300500462137114
91072300472215550
10224343402004044
11655345588a1284
12211b33074b5290
139824651cc752b
143d583c8660228
151ae0a47a77499
hexcc0a04c8be4c

224343402004044 has 72 divisors (see below), whose sum is σ = 568633967188560. Its totient is φ = 74577601953792.

The previous prime is 224343402004037. The next prime is 224343402004097. The reversal of 224343402004044 is 440400204343422.

224343402004044 is a `hidden beast` number, since 2 + 2 + 4 + 3 + 4 + 3 + 40 + 200 + 404 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 164371852 + ... + 165731084.

It is an arithmetic number, because the mean of its divisors is an integer number (7897693988730).

Almost surely, 2224343402004044 is an apocalyptic number.

It is an amenable number.

224343402004044 is an abundant number, since it is smaller than the sum of its proper divisors (344290565184516).

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

224343402004044 is a wasteful number, since it uses less digits than its factorization.

224343402004044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1371719 (or 1371714 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 36.

Adding to 224343402004044 its reverse (440400204343422), we get a palindrome (664743606347466).

The spelling of 224343402004044 in words is "two hundred twenty-four trillion, three hundred forty-three billion, four hundred two million, four thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 379 758 1137 1516 2274 3411 4548 6822 12097 13644 24194 36291 48388 72582 108873 145164 217746 435492 1359233 2718466 4077699 4584763 5436932 8155398 9169526 12233097 13754289 16310796 18339052 24466194 27508578 41262867 48932388 55017156 82525734 165051468 515149307 1030298614 1545447921 2060597228 3090895842 4636343763 6181791684 9272687526 16442641601 18545375052 32885283202 49327924803 65770566404 98655849606 147983774409 197311699212 295967548818 591935097636 6231761166779 12463522333558 18695283500337 24927044667116 37390567000674 56085850501011 74781134001348 112171701002022 224343402004044