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42234544305 = 325233110113033
BaseRepresentation
bin100111010101011000…
…000000000010110001
311001000101202011000200
4213111120000002301
51142444020404210
631222520505413
73023416463142
oct472530000261
9131011664020
1042234544305
1116a03332278
12822831b269
133ca0cba425
14208927bac9
151172c790c0
hex9d56000b1

42234544305 has 96 divisors (see below), whose sum is σ = 79640451072. Its totient is φ = 20642688000.

The previous prime is 42234544301. The next prime is 42234544349. The reversal of 42234544305 is 50344543224.

42234544305 is a `hidden beast` number, since 4 + 2 + 2 + 345 + 4 + 4 + 305 = 666.

It is not a de Polignac number, because 42234544305 - 22 = 42234544301 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 42234544305.

It is not an unprimeable number, because it can be changed into a prime (42234544301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3234069 + ... + 3247101.

It is an arithmetic number, because the mean of its divisors is an integer number (829588032).

Almost surely, 242234544305 is an apocalyptic number.

42234544305 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42234544305 is a deficient number, since it is larger than the sum of its proper divisors (37405906767).

42234544305 is a wasteful number, since it uses less digits than its factorization.

42234544305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13199 (or 13196 counting only the distinct ones).

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

The spelling of 42234544305 in words is "forty-two billion, two hundred thirty-four million, five hundred forty-four thousand, three hundred five".

Divisors: 1 3 5 9 15 23 31 45 69 93 101 115 155 207 279 303 345 465 505 713 909 1035 1395 1515 2139 2323 3131 3565 4545 6417 6969 9393 10695 11615 13033 15655 20907 28179 32085 34845 39099 46965 65165 72013 104535 117297 140895 195495 216039 299759 360065 404023 586485 648117 899277 1080195 1212069 1316333 1498795 2020115 2697831 3240585 3636207 3948999 4496385 6060345 6581665 9292529 11846997 13489155 18181035 19744995 27877587 30275659 40806323 46462645 59234985 83632761 90826977 122418969 139387935 151378295 204031615 272480931 367256907 418163805 454134885 612094845 938545429 1362404655 1836284535 2815636287 4692727145 8446908861 14078181435 42234544305