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30014442144 = 2532472217379
BaseRepresentation
bin11011111101000000…
…000000101010100000
32212110202110122021100
4123331000000222200
5442432144122034
621442145354400
72111533356141
oct337500005240
985422418240
1030014442144
1111802408695
125997938a00
132aa438084b
14164a327ac8
15baa02d099
hex6fd000aa0

30014442144 has 72 divisors (see below), whose sum is σ = 87169642560. Its totient is φ = 9791941248.

The previous prime is 30014442121. The next prime is 30014442179. The reversal of 30014442144 is 44124441003.

30014442144 is a `hidden beast` number, since 3 + 0 + 0 + 1 + 444 + 214 + 4 = 666.

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

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1095154 + ... + 1122225.

It is an arithmetic number, because the mean of its divisors is an integer number (1210689480).

Almost surely, 230014442144 is an apocalyptic number.

It is an amenable number.

30014442144 is an abundant number, since it is smaller than the sum of its proper divisors (57155200416).

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

30014442144 is a wasteful number, since it uses less digits than its factorization.

30014442144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2217442 (or 2217431 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 30014442144 its reverse (44124441003), we get a palindrome (74138883147).

The spelling of 30014442144 in words is "thirty billion, fourteen million, four hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 47 48 72 94 96 141 144 188 282 288 376 423 564 752 846 1128 1504 1692 2256 3384 4512 6768 13536 2217379 4434758 6652137 8869516 13304274 17739032 19956411 26608548 35478064 39912822 53217096 70956128 79825644 104216813 106434192 159651288 208433626 212868384 312650439 319302576 416867252 625300878 638605152 833734504 937951317 1250601756 1667469008 1875902634 2501203512 3334938016 3751805268 5002407024 7503610536 10004814048 15007221072 30014442144