306429945150 has 288 divisors, whose sum is σ = 941793471360. Its totient is φ = 65552820480.

The previous prime is 306429945121. The next prime is 306429945193. The reversal of 306429945150 is 51549924603.

It is a super-2 number, since 2×306429945150² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 306429945150.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11577732 + ... + 11604168.

It is an arithmetic number, because the mean of its divisors is an integer number (3270116220).

Almost surely, 2^306429945150 is an apocalyptic number.

306429945150 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 306429945150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470896735680).

306429945150 is an abundant number, since it is smaller than the sum of its proper divisors (635363526210).

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

306429945150 is a wasteful number, since it uses less digits than its factorization.

306429945150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26568 (or 26556 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 48.

The spelling of 306429945150 in words is "three hundred six billion, four hundred twenty-nine million, nine hundred forty-five thousand, one hundred fifty".