Search a number
-
+
2430442421010 = 2325531094674557
BaseRepresentation
bin100011010111100001101…
…010000011101100010010
322121100101201012102212100
4203113201222003230102
5304310021224433020
65100310235541230
7340410425500062
oct43274152035422
98540351172770
102430442421010
1185782142670a
123330522ba816
13148260b0c886
14858c3b453a2
154334c292a90
hex235e1a83b12

2430442421010 has 96 divisors (see below), whose sum is σ = 6497448637680. Its totient is φ = 630055355904.

The previous prime is 2430442420969. The next prime is 2430442421087. The reversal of 2430442421010 is 101242440342.

2430442421010 is a `hidden beast` number, since 2 + 4 + 3 + 0 + 442 + 4 + 210 + 1 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1600607052801 + 829835368209 = 1265151^2 + 910953^2 .

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 47 ways as a sum of consecutive naturals, for example, 1817349 + ... + 2857208.

Almost surely, 22430442421010 is an apocalyptic number.

2430442421010 is an abundant number, since it is smaller than the sum of its proper divisors (4067006216670).

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

2430442421010 is a wasteful number, since it uses less digits than its factorization.

2430442421010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4674732 (or 4674729 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 2430442421010 its reverse (101242440342), we get a palindrome (2531684861352).

The spelling of 2430442421010 in words is "two trillion, four hundred thirty billion, four hundred forty-two million, four hundred twenty-one thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 53 90 106 109 159 218 265 318 327 477 530 545 654 795 954 981 1090 1590 1635 1962 2385 3270 4770 4905 5777 9810 11554 17331 28885 34662 51993 57770 86655 103986 173310 259965 519930 4674557 9349114 14023671 23372785 28047342 42071013 46745570 70118355 84142026 140236710 210355065 247751521 420710130 495503042 509526713 743254563 1019053426 1238757605 1486509126 1528580139 2229763689 2477515210 2547633565 3057160278 3716272815 4459527378 4585740417 5095267130 7432545630 7642900695 9171480834 11148818445 15285801390 22297636890 22928702085 27004915789 45857404170 54009831578 81014747367 135024578945 162029494734 243044242101 270049157890 405073736835 486088484202 810147473670 1215221210505 2430442421010