Search a number
-
+
423214503120306 = 23319314058677169
BaseRepresentation
bin110000000111010010100111…
…0000111110100110110110010
32001111110220121101110102122000
41200032211032013310312302
5420432421300244322211
64100034020402554430
7155100144626445042
oct14016451607646662
92044426541412560
10423214503120306
11112938298917547
123b571980968a16
131521bc58297b31
147671996ac1722
1533ddba9043656
hex180e94e1f4db2

423214503120306 has 32 divisors (see below), whose sum is σ = 940963715092800. Its totient is φ = 140998444816320.

The previous prime is 423214503120239. The next prime is 423214503120307. The reversal of 423214503120306 is 603021305412324.

423214503120306 is a `hidden beast` number, since 4 + 2 + 3 + 21 + 4 + 503 + 120 + 3 + 0 + 6 = 666.

It is a super-4 number, since 4×4232145031203064 (a number of 60 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (423214503120307) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2029234311 + ... + 2029442858.

It is an arithmetic number, because the mean of its divisors is an integer number (29405116096650).

Almost surely, 2423214503120306 is an apocalyptic number.

423214503120306 is an abundant number, since it is smaller than the sum of its proper divisors (517749211972494).

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

423214503120306 is a wasteful number, since it uses less digits than its factorization.

423214503120306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4058679111 (or 4058679105 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 423214503120306 in words is "four hundred twenty-three trillion, two hundred fourteen billion, five hundred three million, one hundred twenty thousand, three hundred six".

Divisors: 1 2 3 6 9 18 27 54 1931 3862 5793 11586 17379 34758 52137 104274 4058677169 8117354338 12176031507 24352063014 36528094521 73056189042 109584283563 219168567126 7837305613339 15674611226678 23511916840017 47023833680034 70535750520051 141071501040102 211607251560153 423214503120306