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30442123440 = 2432542280727
BaseRepresentation
bin11100010110011111…
…011111000010110000
32220120120020002201100
4130112133133002300
5444321140422230
621552424204400
72125245531321
oct342637370260
986516202640
1030442123440
1111a0186aa03
125a97009700
132b41b648c1
14168b056448
15bd285d660
hex7167df0b0

30442123440 has 60 divisors (see below), whose sum is σ = 102234800304. Its totient is φ = 8117899392.

The previous prime is 30442123429. The next prime is 30442123447. The reversal of 30442123440 is 4432124403.

It is a happy number.

30442123440 is a `hidden beast` number, since 3 + 0 + 4 + 4 + 212 + 3 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

It is not an unprimeable number, because it can be changed into a prime (30442123447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21139644 + ... + 21141083.

Almost surely, 230442123440 is an apocalyptic number.

30442123440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30442123440 is an abundant number, since it is smaller than the sum of its proper divisors (71792676864).

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

30442123440 is a wasteful number, since it uses less digits than its factorization.

30442123440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42280746 (or 42280737 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 30442123440 its reverse (4432124403), we get a palindrome (34874247843).

The spelling of 30442123440 in words is "thirty billion, four hundred forty-two million, one hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 42280727 84561454 126842181 169122908 211403635 253684362 338245816 380526543 422807270 507368724 634210905 676491632 761053086 845614540 1014737448 1268421810 1522106172 1691229080 1902632715 2029474896 2536843620 3044212344 3382458160 3805265430 5073687240 6088424688 7610530860 10147374480 15221061720 30442123440