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30170140416 = 2833133110831
BaseRepresentation
bin11100000110010001…
…111100111100000000
32212212121102221011000
4130012101330330000
5443242023443131
621505430452000
72115433651023
oct340621747400
985777387130
1030170140416
1111882292049
125a1bb04000
132aca6c62c0
141662c971ba
15bb8a35ce6
hex70647cf00

30170140416 has 288 divisors, whose sum is σ = 99189923840. Its totient is φ = 8982835200.

The previous prime is 30170140393. The next prime is 30170140433. The reversal of 30170140416 is 61404107103.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 30170140416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2780121 + ... + 2790951.

Almost surely, 230170140416 is an apocalyptic number.

30170140416 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30170140416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49594961920).

30170140416 is an abundant number, since it is smaller than the sum of its proper divisors (69019783424).

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

30170140416 is a wasteful number, since it uses less digits than its factorization.

30170140416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10900 (or 10880 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

Adding to 30170140416 its reverse (61404107103), we get a palindrome (91574247519).

The spelling of 30170140416 in words is "thirty billion, one hundred seventy million, one hundred forty thousand, four hundred sixteen".