Search a number
-
+
210424435022304 = 25327121102603623
BaseRepresentation
bin101111110110000101000001…
…101100111001100111100000
31000121001101020200020102111200
4233312011001230321213200
5210040043220331203204
62023311352334041200
762215443443102166
oct5766050154714740
91017041220212450
10210424435022304
11610585578a8678
121b7257b9649200
139054c292062c9
1439d6850231236
15194d950b9c539
hexbf6141b399e0

210424435022304 has 72 divisors (see below), whose sum is σ = 598478525294832. Its totient is φ = 70131627709440.

The previous prime is 210424435022293. The next prime is 210424435022309. The reversal of 210424435022304 is 403220534424012.

210424435022304 is a `hidden beast` number, since 2 + 1 + 0 + 42 + 44 + 350 + 223 + 0 + 4 = 666.

210424435022304 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210424435022309) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49250964 + ... + 53352659.

It is an arithmetic number, because the mean of its divisors is an integer number (8312201740206).

Almost surely, 2210424435022304 is an apocalyptic number.

210424435022304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

210424435022304 is an abundant number, since it is smaller than the sum of its proper divisors (388054090272528).

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

210424435022304 is a wasteful number, since it uses less digits than its factorization.

210424435022304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102610760 (or 102610749 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

Adding to 210424435022304 its reverse (403220534424012), we get a palindrome (613644969446316).

The spelling of 210424435022304 in words is "two hundred ten trillion, four hundred twenty-four billion, four hundred thirty-five million, twenty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 7121 14242 21363 28484 42726 56968 64089 85452 113936 128178 170904 227872 256356 341808 512712 683616 1025424 2050848 102603623 205207246 307810869 410414492 615621738 820828984 923432607 1231243476 1641657968 1846865214 2462486952 3283315936 3693730428 4924973904 7387460856 9849947808 14774921712 29549843424 730640399383 1461280798766 2191921198149 2922561597532 4383842396298 5845123195064 6575763594447 8767684792596 11690246390128 13151527188894 17535369585192 23380492780256 26303054377788 35070739170384 52606108755576 70141478340768 105212217511152 210424435022304