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30414640212 = 2233111271991013
BaseRepresentation
bin11100010100110110…
…101001010001010100
32220111122111210211000
4130110312221101110
5444242121441322
621550003143300
72124463114305
oct342466512124
986448453730
1030414640212
11119982a93a0
125a89974b30
132b39261338
1416875407ac
15bd02303ac
hex714da9454

30414640212 has 192 divisors, whose sum is σ = 87220224000. Its totient is φ = 9089055360.

The previous prime is 30414640187. The next prime is 30414640219. The reversal of 30414640212 is 21204641403.

It is a happy number.

30414640212 is a `hidden beast` number, since 3 + 0 + 4 + 1 + 4 + 640 + 2 + 12 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30414640219) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30023818 + ... + 30024830.

It is an arithmetic number, because the mean of its divisors is an integer number (454272000).

Almost surely, 230414640212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30414640212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43610112000).

30414640212 is an abundant number, since it is smaller than the sum of its proper divisors (56805583788).

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

30414640212 is a wasteful number, since it uses less digits than its factorization.

30414640212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1363 (or 1355 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 30414640212 in words is "thirty billion, four hundred fourteen million, six hundred forty thousand, two hundred twelve".