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230042124202240 = 285725674344219
BaseRepresentation
bin110100010011100011011011…
…000110001011000100000000
31010011111210221011110000020001
4310103203123012023010000
5220123002232243432430
62133131520512325344
766311665200562210
oct6423433306130400
91104453834400201
10230042124202240
1167331353a20a89
1221973855b43854
139b48b5789358c
1440b4153728240
151b8ddcc0983ca
hexd138db18b100

230042124202240 has 72 divisors (see below), whose sum is σ = 629740315028160. Its totient is φ = 78871585437696.

The previous prime is 230042124202217. The next prime is 230042124202243. The reversal of 230042124202240 is 42202421240032.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 230042124202199 and 230042124202208.

It is not an unprimeable number, because it can be changed into a prime (230042124202243) 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 7 ways as a sum of consecutive naturals, for example, 12837163150 + ... + 12837181069.

It is an arithmetic number, because the mean of its divisors is an integer number (8746393264280).

Almost surely, 2230042124202240 is an apocalyptic number.

230042124202240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230042124202240 is an abundant number, since it is smaller than the sum of its proper divisors (399698190825920).

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

230042124202240 is an equidigital number, since it uses as much as digits as its factorization.

230042124202240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25674344247 (or 25674344233 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 230042124202240 its reverse (42202421240032), we get a palindrome (272244545442272).

The spelling of 230042124202240 in words is "two hundred thirty trillion, forty-two billion, one hundred twenty-four million, two hundred two thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 560 640 896 1120 1280 1792 2240 4480 8960 25674344219 51348688438 102697376876 128371721095 179720409533 205394753752 256743442190 359440819066 410789507504 513486884380 718881638132 821579015008 898602047665 1026973768760 1437763276264 1643158030016 1797204095330 2053947537520 2875526552528 3286316060032 3594408190660 4107895075040 5751053105056 6572632120064 7188816381320 8215790150080 11502106210112 14377632762640 16431580300160 23004212420224 28755265525280 32863160600320 46008424840448 57510531050560 115021062101120 230042124202240