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30442033120 = 255296560783
BaseRepresentation
bin11100010110011111…
…001000111111100000
32220120120001111211011
4130112133020333200
5444321130024440
621552422230304
72125245004102
oct342637107740
986516044734
1030442033120
1111a01809064
125a96b85394
132b41b32765
14168b031572
15bd28419ea
hex7167c8fe0

30442033120 has 48 divisors (see below), whose sum is σ = 74399290560. Its totient is φ = 11756921344.

The previous prime is 30442032983. The next prime is 30442033129. The reversal of 30442033120 is 2133024403.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 30442033091 and 30442033100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30442033129) 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 7 ways as a sum of consecutive naturals, for example, 3275752 + ... + 3285031.

It is an arithmetic number, because the mean of its divisors is an integer number (1549985220).

Almost surely, 230442033120 is an apocalyptic number.

It is an amenable number.

30442033120 is an abundant number, since it is smaller than the sum of its proper divisors (43957257440).

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

30442033120 is a wasteful number, since it uses less digits than its factorization.

30442033120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6560827 (or 6560819 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 30442033120 its reverse (2133024403), we get a palindrome (32575057523).

The spelling of 30442033120 in words is "thirty billion, four hundred forty-two million, thirty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 80 116 145 160 232 290 464 580 928 1160 2320 4640 6560783 13121566 26243132 32803915 52486264 65607830 104972528 131215660 190262707 209945056 262431320 380525414 524862640 761050828 951313535 1049725280 1522101656 1902627070 3044203312 3805254140 6088406624 7610508280 15221016560 30442033120