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42318016272 = 2433713994053
BaseRepresentation
bin100111011010010110…
…011010111100010000
311001020012210222001000
4213122112122330100
51143131403010042
631235101542000
73025452126510
oct473226327420
9131205728030
1042318016272
1116a46464a74
128250274900
133cb5394c1c
1420963a9840
15117a26674c
hex9da59af10

42318016272 has 80 divisors (see below), whose sum is σ = 138821015680. Its totient is φ = 12090860928.

The previous prime is 42318016249. The next prime is 42318016297. The reversal of 42318016272 is 27261081324.

It is a happy number.

42318016272 is a `hidden beast` number, since 4 + 23 + 1 + 8 + 0 + 1 + 627 + 2 = 666.

42318016272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6994003 + ... + 7000050.

It is an arithmetic number, because the mean of its divisors is an integer number (1735262696).

Almost surely, 242318016272 is an apocalyptic number.

42318016272 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

42318016272 is an abundant number, since it is smaller than the sum of its proper divisors (96502999408).

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

42318016272 is a wasteful number, since it uses less digits than its factorization.

42318016272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13994077 (or 13994065 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Adding to 42318016272 its reverse (27261081324), we get a palindrome (69579097596).

The spelling of 42318016272 in words is "forty-two billion, three hundred eighteen million, sixteen thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 13994053 27988106 41982159 55976212 83964318 97958371 111952424 125946477 167928636 195916742 223904848 251892954 293875113 335857272 377839431 391833484 503785908 587750226 671714544 755678862 783666968 881625339 1007571816 1175500452 1511357724 1567333936 1763250678 2015143632 2351000904 2644876017 3022715448 3526501356 4702001808 5289752034 6045430896 7053002712 10579504068 14106005424 21159008136 42318016272