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42354045324 = 22327914892421
BaseRepresentation
bin100111011100011111…
…110111000110001100
311001022201121102121100
4213130133313012030
51143220113422244
631242430103100
73026400305463
oct473437670614
9131281542540
1042354045324
1116a64833148
12826034aa90
133cbc99b1a6
14209b0a79da
15117d4d1b69
hex9dc7f718c

42354045324 has 36 divisors (see below), whose sum is σ = 108416832160. Its totient is φ = 13939305120.

The previous prime is 42354045323. The next prime is 42354045329.

42354045324 is a `hidden beast` number, since 42 + 3 + 540 + 4 + 53 + 24 = 666.

42354045324 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is not an unprimeable number, because it can be changed into a prime (42354045323) 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, 7443367 + ... + 7449054.

Almost surely, 242354045324 is an apocalyptic number.

It is an amenable number.

42354045324 is an abundant number, since it is smaller than the sum of its proper divisors (66062786836).

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

42354045324 is a wasteful number, since it uses less digits than its factorization.

42354045324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14892510 (or 14892505 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 36.

It can be divided in two parts, 423540 and 45324, that added together give a palindrome (468864).

The spelling of 42354045324 in words is "forty-two billion, three hundred fifty-four million, forty-five thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 79 158 237 316 474 711 948 1422 2844 14892421 29784842 44677263 59569684 89354526 134031789 178709052 268063578 536127156 1176501259 2353002518 3529503777 4706005036 7059007554 10588511331 14118015108 21177022662 42354045324