Search a number
-
+
430104203324010 = 232518661256092149
BaseRepresentation
bin110000111001011010111000…
…0010000010110101001101010
32002101212120010102220012102200
41201302311300100112221222
5422333311402022332020
64122431050541041030
7156411001053064155
oct14162656020265152
92071776112805380
10430104203324010
11115054193a8a346
12402a50ab556176
13155cb86326a3b7
14782d223db4c9c
1534acee617b590
hex1872d70416a6a

430104203324010 has 48 divisors (see below), whose sum is σ = 1118330858572200. Its totient is φ = 114688307560320.

The previous prime is 430104203323981. The next prime is 430104203324021. The reversal of 430104203324010 is 10423302401034.

430104203324010 is a `hidden beast` number, since 4 + 30 + 104 + 203 + 324 + 0 + 1 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 250750423680201 + 179353779643809 = 15835101^2 + 13392303^2 .

It is a super-4 number, since 4×4301042033240104 (a number of 60 digits) contains 4444 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126366585 + ... + 129725564.

Almost surely, 2430104203324010 is an apocalyptic number.

430104203324010 is an abundant number, since it is smaller than the sum of its proper divisors (688226655248190).

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

430104203324010 is a wasteful number, since it uses less digits than its factorization.

430104203324010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256110823 (or 256110820 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 430104203324010 its reverse (10423302401034), we get a palindrome (440527505725044).

The spelling of 430104203324010 in words is "four hundred thirty trillion, one hundred four billion, two hundred three million, three hundred twenty-four thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 18661 37322 55983 93305 111966 167949 186610 279915 335898 559830 839745 1679490 256092149 512184298 768276447 1280460745 1536552894 2304829341 2560921490 3841382235 4609658682 7682764470 11524146705 23048293410 4778935592489 9557871184978 14336806777467 23894677962445 28673613554934 43010420332401 47789355924890 71684033887335 86020840664802 143368067774670 215052101662005 430104203324010